ORIGINAL_ARTICLE
Synthesis and Characterization of Polymer/Nanosilicagel Nano-composites
In this study, a polymer-silica nanocomposite using the sol-gel method was synthesized in three steps at room temperature. The nanocomposite material was formed with an organic compound (polyethylene glycol) and inorganic silica nanoparticles. Furthermore, the size and the distribution of nanoparticles in the polymer matrix were characterized by a transmission electron microscope (TEM). In addition, the refractometer analysis was used to measure the refractive index of the nanocomposite. Following that, Fourier transform infrared (FTIR) spectroscopy and small-angle X-ray diffraction and high X-ray diffraction have also used to characterize the polymer and the inorganic part of the nanocomposite. TEM studies showed the distribution of nanoscale silica particles of the size of 50-100 (nm) in the polymer matrix. Furthermore, the refractive index of the nanocomposite was measured about 1.4, which was very close to the refractive index of the natural lens (1.411). Additionally, the FTIR spectra showed OH groups in FTIR spectroscopy, which confirmed the hydrophilic property of silica nanoparticles and the two sharp peaks at the angles of 19° and 23° in the X-ray diffraction analyses, which were in the nature of the crystallinity of polyethylene glycol. Finally, the results showed the surface modification of nanoparticles and their incorporation in a polymer matrix, which led to the formation of the desired nanocomposite that was made of inorganic (silica nanoparticles) and an organic (polyethylene glycol) compound.
http://macs.journals.semnan.ac.ir/article_500_772032dbd6f3fa6b249633366b3de44f.pdf
2017-04-01T11:23:20
2017-11-19T11:23:20
1
8
10.22075/macs.2016.500
Nanocomposite
Biocompatible polymer
Silica
Sol-gel
Refractive index
Rheology
Intraocular lenses
F.
Shakooeea
fshakouey@yahoo.com
true
1
Faculty of Materials and Metallurgical Engineering, Semnan University, Semnan, Iran
Faculty of Materials and Metallurgical Engineering, Semnan University, Semnan, Iran
Faculty of Materials and Metallurgical Engineering, Semnan University, Semnan, Iran
AUTHOR
Mardali
Yousefpoar
myousefpor@semnan.ac.ir
true
2
Faculty of Materials and Metallurgical Engineering, Semnan University, Semnan, Iran
Faculty of Materials and Metallurgical Engineering, Semnan University, Semnan, Iran
Faculty of Materials and Metallurgical Engineering, Semnan University, Semnan, Iran
LEAD_AUTHOR
Mohammad
Tajali
mtajali@semnan.ac.ir
true
3
Faculty of Materials and Metallurgical Engineering, Semnan University, Semnan, Iran
Faculty of Materials and Metallurgical Engineering, Semnan University, Semnan, Iran
Faculty of Materials and Metallurgical Engineering, Semnan University, Semnan, Iran
AUTHOR
[1] Daniel-da-silva AL, Pinto F, Lopes-da-silva JA, Trindade T, Goodfellow BJ, Gil AM. Rheological be-havior of thermo-reversible κ-carrageenan / nanosili-ca gels. Colloid Interface Sci 2008; 320: 365-614.
1
[2] Kango S, Kalia S, Celli A, Njuguna J, Habibi Y, Ku-mar R. Surface modification of inorganic nanoparti-cles for development of organic-inorganic nanocom-posites - A review. Prog Polym Sci 2013; 38: 1232-1261.
2
[3] Annaka M, Mortensen K, Matsuura T, Nochiokad MIK, Ogata N. Organic-inorganic nanocomposite gels as an in situ gelation biomaterial for injectable ac-commodative intraocular lens. Soft Mater 2012; 8: 7185-7196.
3
[4] Nagarwal CR, Kant S, Singh PN, Maiti P, Pandit JK. Polymeric nanoparticulate system: A potential ap-proach for ocular drug delivery. J Control Rel 2009; 136: 2-13.
4
[5] Hao X, Jeffery JL, Wilkie JS, Meijs GF, Clayton AB, Watling JD, Ho A, Fernandez V, Acosta C, Yamamoto H, Mohamed GM, Parel JM, Hughes TC. Functionalised polysiloxanes as injectable, in situ curable accommo-dating intraocular lenses. Biomaterials 2010; 31: 8153-8163.
5
[6] Nishi O, Nishi Y, Chang S, Nishi K. Accommoda-tion amplitudes after an accommodating intraocular lens refilling procedure: In vivo update. J Cataract Refract Surg 2014; 40: 295-305.
6
[7] Assia E. Accommodative intraocular lens: A chal-lenge for future development. J Cataract Refract Surg 1997; 23: 332-336.
7
[8] Colthurst MJ, Williams RL, Hiscott PS, Grierson I. Biomaterials used in the posterior segment of the eye. Biomaterials 2000; 21: 649-665.
8
[9] DeBoer C, Wan Do H, Lee J, Humayun M, Tai YC. Biomimetic accommodating intraocular lens. IEEE; 2012.
9
[10] Kayo ON, Nishi NY, Chang S. Capsular bag refill-ing using a new accommodating intraocular lens. J Cataract Refract Surg 2008; 34: 302-309.
10
[11] Reilly MA, Hamilton PD, Perry G, Ravi N. Com-parison of the behavior of natural and refilled porcine lenses in a robotic lens stretcher. Experim Eye Res 2009; 88: 483-494.
11
[12] Nishi Y, Mireskandari K, Khaw P. Lens refilling to restore accommodation. J Cataract Refract Surg 2009; 35: 374-382.
12
[13] Nishi O, Nishi K, Mano C, Ichihara M, Honda T. Lens refilling with injectable silicone in rabbit eyes. J Cataract Refract Surg 1998; 24: 975-982.
13
[14] Hunter JJ, Melanie CW, Geraghty E. Optical analy-sis of an accommodating intraocular lens. J Cataract Refract Surg 2006; 32: 269-278.
14
[15] Vilupuru AS, Glasser A. Optical and biometric relationships of the isolated pig crystalline lens. Oph-thal Physiol Opt 2001; 21: 296-311.
15
[16] Koopmans SA, Terwee T, Van Kooten TG. Preven-tion of capsular opacification after accommodative lens refilling surgery in rabbits. Biomaterials 2011; 32: 5743-5755.
16
[17] Koopmans SA, Terwee T, Hanssen A, Martin H, Langner S, Stachs O, Van Kooten TG. Prevention of capsule opacification after accommodating lens refill-ing: Pilot study of strategies evaluated in a monkey model. J Cataract Refract Surg 2014; 40: 1521-1535.
17
[18] Rana A, Miller D, Magnante P. Understanding the accommodating intraocular lens. J Cataract Refract Surg 2003; 29: 2284-2287.
18
[19] Entabi M, Harman F, Lee N, Bloom PA. Injectable, 1-piece hydrophilic acrylic toric intraocular lens for cataract surgery: Efficacy and stability. J Cataract Refract Surg 2011; 37: 235-240.
19
[20] Xu T, Jiaa Z, Luo Y, Jia D, Pengba Z. Interfacial interaction between the epoxidized natural rubber andsilica in natural rubber/silica composites. Appl Surf Sci 2015; 328: 306-313.
20
[21] Yousefpour MA, Taherian Z. The effects of ageing time on the microstructure and properties of mesopo-rous silica-hydroxyapatite nanocomposite. Superlat-tices Microstruct 2013; 54: 78-86.
21
[22] He L, Li J, Zhou C, Zhu H, Cao Z, Tang B. Phase change characteristics of shape-stabilized PEG/SiO2 composites using calcium chloride-assisted and tem-perature-assisted sol gel methods. Solar Energy 2014; 103: 448-455.
22
[23] Khanna L, Verma NK. Study on novel, superpar-amagnetic and biocompatible PEG/KFeO2 nanocom-posite. J Appl Biomedicine 2014; 349: 116-120.
23
[24] Evora VMF, Shukla A. Fabrication, characteriza-tion, and dynamic behavior of polyester/TiO2 nano-composites. Mater Sci Eng A 2003; 361(1-2): 358-366.
24
[25] Oh C, Ki CD, Chang JY, Oh SG. Preparation of PEG-grafted silica particles using emulsion method. Mater Letters 2005; 59: 929-933.
25
[26] Kiasat AR, Nazari S, Davarpanah J. Facile synthe-sis of an organic-inorganic nanocomposite, PEG-silica, by sol-gel method; its characterization and ap-plication as an efficient catalyst in regioselective nu-cleophilic ring opening of epoxides: Preparation of b-azido alcohols and b-cyanohydrins. Chimie 2014; 17: 124-130.
26
[27] Kwon JW, Han YK, Lee WJ, Cho CS, Paik SJ, Cho D, Lee JH, Wee WR. Biocompatibility of poloxamer hy-drogel as an injectable intraocular lens. J Cataract Refract Surg 2005; 31: 607-613.
27
[28] Hao X, Jeffery JL, Tam PT, McFarland G, Johnson G, Mulder RJ, Garrett Q, Nankivil FMD, Arrieta E, Ho A, Parel JM, Hughes TC. High refractive index pol-ysiloxane as Injectable, in situ curable accommodat-ing intraocular lens. Biomaterials 2012; 33: 5659-5671.
28
[29] Kjoniksen AL, Nystro B, Lindman B. Dynamic viscoelasticity of gelling and nongelling aqueous mix-tures of ethyl (hydroxyethyl) cellulose and an ionic surfactant. Macromolecules 1998; 31: 1852-1858.
29
[30] Qian T, Li J, Yang H. The preparationofagreen-shape-stabilized composite phase change material of polyethyleneglycol/SiO2 with enhanced thermal per-formance based on oil shaleash via temperature-assisted sol-gel method, Solar Energy Mater Solar Cells 2015; 132: 29-39.
30
ORIGINAL_ARTICLE
Distribution of Residual Stresses in Polymer Reinforced Carbon Nanotubes and Laminated Carbon Fibers
In this study, the distribution of residual stress in fiber-reinforced nanocomposites is investigated. Fiber-reinforced nanocomposite is composed of three substances: carbon fiber, carbon nanotube (CNT), and polymer matrix. Unit cells in hexagonal packing array with different arrays as unit cell, 3*3 and 5*5 arrays have been selected as suitable for finite element analysis of residual stresses. Radial and tangential residual stress have been determined in different directions by finite element analysis using ABAQUS commercial software for each phase individually. The effect of the CNTs’ various volume fractions (0%, 1%, 2%, and 3%) on residual stress distribution has been studied in different directions and compared to one another for each phase. Results show that the 3*3 unit cells arrays are suitable for modeling micro-residual stresses, and the results of this array are reliable. In addition, adding a 3% volume fraction of CNTs to the matrix is the best option for reduction of overall residual stresses with minimal fluctuation in local micro-residual stresses.
http://macs.journals.semnan.ac.ir/article_476_923c3b22a4f37795ee7ade15f4833926.pdf
2017-04-01T11:23:20
2017-11-19T11:23:20
9
18
10.22075/macs.2016.476
Residual stresses
Carbon nanotube
Nanocomposite
Unit cell
Ahmad Reza
Ghasemi
ghasemi@kashanu.ac.ir
true
1
University of Kashan
University of Kashan
University of Kashan
LEAD_AUTHOR
Mohammad
Mohammadi-Fesharaki
mohammadi.shirazu@gmail.com
true
2
University of Kashan
University of Kashan
University of Kashan
AUTHOR
[1] Hahn HT, Pagano NJ. Curing stresses in composite laminates. J Compos Mater 1975; 9(1): 91-106.
1
[2] Shokrieh MM, Ghasemi AR. Simulation of central hole drilling process for measurement of residual Stresses in isotropic, orthotropic, and laminated composite plates .J Compos Mater 2007; 41(4): 435-452.
2
[3] Ghasemi AR, Shokrieh MM. Development of an integral method for determination of non-uniform residual stresses in laminated composites. Iran J Polym Sci & Tech 2008; 21(4): 347-355.
3
[4] Ghasemi A, Taheri-Behrooz F, Shokrieh M. Determination of non-uniform residual stresses in laminated composites using integral hole drilling method: Experimental evaluation. J Compos Mater 2014; 48(4): 415-425.
4
[5] Ghasemi AR, Mohammadi M. Calculation of calibration factors for determination of residual stresses in fiber-metal laminates using incremental hole-drilling method. J Sci Tech Compos 2014; 1(1): 35-44.
5
[6] Ghasemi AR, Mohammadi M. Residual stress measurement of fiber metal laminates using incremental hole-drilling technique in consideration of the integral method. Int J Mech Sci 2016; 114: 246-256.
6
[7] Abouhamzeh M, Sinke J, Jansen KMB, Benedictus R. Closed form expression for residual stresses and warpage during cure of composite laminates. Compos Struct 2015; 133: 902-910.
7
[8] Chen Y, Xia Z, Ellyin F. Evolution of Residual Stresses Induced During Curing Processing Using a Viscoelastic Micromechanical Model. Compos. Mater 2001; 35: 522-542.
8
[9] Aghdam MM, Khojeh A. More on the Effects of Thermal Residual and Hydrostatic Stresses on Yielding Behavior of Unidirectional Composites. Compos Struct 2003; 62: 285-290.
9
[10] Karami G, Garnich M. Micromechanical Study of Thermoelastic Behavior of Composites with Periodic Fiber Waviness, Compos Part B 2005; 36: 241-248.
10
[11] Zhao LG, Warrior N.A, Long AC. A Thermo-Viscoelastic Analysis of Process-Induced Residual Stress in Fibre-Reinforced Polymer–Matrix Composites, Mater Sci Eng 2007; 452: 483-498.
11
[12] Jin KK, Huang Y, Lee Y, Sung KH. Distribution of MicroStresses and Interfacial Tractions in Unidirectional Composites. Compos Mater 2008; 42: 1825-1849.
12
[13] Quek M. Analysis of Residual Stresses in a Single Fibre–Matrix Composite. IntJ Adhes Adhes 2004; 24(5): 379-388.
13
[14] Hsueh C H, Becher PF, Sun EY. Analyses of thermal expansion behavior of intergranular two-phase composites. J Mater Sci 2001; 36: 255-261.
14
[15] Jayaraman K, Reifsnider KL. Residual Stresses in a Composite with Continuously Varying Young’s Modulus in the Fiber/Matrix Interphase. Compos Mater 1992; 26: 770-791.
15
[16] Jayaraman K, Reifsnider KL. The Interphase in Unidirectional Fiber-Reinforced Epoxies: Effect of Residual Thermal Stresses. Compos Sci Technol 1993; 47: 119-129.
16
[17] Bianchi V, Goursat P, Menessier E. Carbon-Fiber-Reinforced YMAS Glass Ceramic Matrix -IV Thermal Residual Stresses and Fiber/Matrix Interfaces. Compos Sci Technol 1998; 58: 409-418.
17
[18] Quek MY, Yue CY. Axisymmetric Stress Distribution inthe Single Filament Pull outTest. Mater Sci Eng 1994; 189: 105-116.
18
[19] Zhang Y, Xia Z, Ellyin F. Evolution and Influence of Residual Stresses/Strains of Fiber Reinforced Laminates. Compos Sci Technol 2004; 64: 1613-1625.
19
[20] Song DY, Takeda N, Ogihara S. A Method of Stress Analysis for Interfacial Property Evaluation in Thermoplastic Composites. Mater Sci Eng 2000; 278: 242-246.
20
[21] Levin I, Kaplan WD, Brandon D,Wieder T. Residual stresses in alumina-SiC nanocomposites. Acta Metall Mater 1994; 42(4): 1147-1154.
21
[22] Todd R, Bourke M, Borsa C, Brook R. Neutron diffraction measurements of residual stresses in alumina/SiC nanocomposites. Acta Mater 1997; 45(4): 1791-1800.
22
[23] Wu H. Residual stresses in composite materials. Woodhead Publishing; 2014.
23
[24] Maligno AR. Finite element investigations on the microstructure of composite materials. Ph.D. Thesis, University of Nottingham, 2008.
24
[25] Moreno MM, Marques FD. Influence of Boundary Conditions on the Determination of Effective Material Properties for Active Fiber Composites. 11th Pan-American Cong Appl Mech; 2010.
25
[26] Shokrieh MM, Ghanei-Mohammadi AR. Finite Element Modeling of Residual Thermal Stresses in Fiber-Reinforced Composites Using Different Representative Volume Elements. World Cong Eng; 2010.
26
[27] Shokrieh MM, Safarabadi M. Three-dimensional analysis of micro residual stresses in fibrous composites based on the energy method: a study including interphase effects. J Com Mat 2012; 46(6): 727-735.
27
[28] Shokrieh M, Daneshvar A and Akbari S. Reduction of thermal residual stresses of laminated polymer composites by addition of carbon nanotubes. Mater Des 2014; 53: 209-216.
28
[29] Ghasemi AR, Mohammadi MM, Mohandes M. The role of carbon nanofibers on thermo-mechanical properties of polymer matrix composites and their effect on reduction of residual stresses. Compos Part B 2015; 77: 519-527.
29
[30] Ghasemi AR and Mohammadi M. Three-dimensional residual stresses analysis of nanocomposite polymeric matrix based on fiber reinforced carbon nanotubes. J Sci Tech Comp 2016; 4(2): 23-30.
30
[31] Ghasemi AR, Mohammadi M. Development of Circular Disk Model for Polymeric Nanocomposites and Micromechanical Analysis of Residual Stresses in Reinforced Fibers with Carbon Nanotubes. Comput Methods Appl Mech Eng 2017; 35(2): 177-196.
31
[32] Ghasemi AR, Mohammadi-Fesharaki M, Mohandes M. Three-Phase Micromechanical Analysis of Residual Stresses in Reinforced Fiber by Carbon Nanotubes. J Compos Mat 2016; DOI: 10.1177/0021998316669854.
32
[33] Zhao LG, Warrior LA, Long AC. A Micromechanical Study of Residual Stress and Its Effect on Transverse Failure in Polymer–Matrix Composites. Int J sol struct 2006; 43: 5449-5467.
33
ORIGINAL_ARTICLE
Study of Laminated Composite MEMS and NEMS Performance in Nano Metric Operations
Precision of nano-metric operations is an important issue in nano-engineering studies. Several operative parameters might affect the quality of results. The parameters of the nano world are significant but not entirely controllable. However, the geometrical and mechanical properties of micro cantilevers are completely controllable. So, controlling the sensitivity of resulting image through t lamination design could be a proper approach. This paper analyses the effects of composite lamination on the performance of common Micro and Nano Electro Mechanical systems (MEMS and NEMS, respectively). Generalized Differential Quadrature (GDQ) and Generalized Differential Quadrature Element (GDQE) methods are used as semi-analytic solutions for regular and irregular domains, respectively. Validity, applicability and accuracy of the proposed approach are demonstrated and then the lamination effects on the nano-imaging and manipulation of nano particles by micro cantilevers are studied. This study shows that some laminations of micro cantilevers resulted in a better performance in nano-manipulation and imaging. Furthermore, clarifying the dependency of system sensitivity on the profile of the substrate is remarkable.
http://macs.journals.semnan.ac.ir/article_495_f35307a1fdd13aa89d258769c988f59b.pdf
2017-04-01T11:23:20
2017-11-19T11:23:20
19
31
10.22075/macs.2016.495
Laminated Composite
MEMS and NEMS
GDQM
GDQEM
Nano-manipulation
Sadegh
Sadeghzadeh
sadeghzadeh@iust.ac.ir
true
1
School of new Technology, Iran University of Science and Technology
School of new Technology, Iran University of Science and Technology
School of new Technology, Iran University of Science and Technology
LEAD_AUTHOR
Moharram
Habibnejad Korayem
hkorayem@iust.ac.ir
true
2
Iran University of Science and Technology
Iran University of Science and Technology
Iran University of Science and Technology
AUTHOR
Ahmad
Homayooni
homayooni@iust.ac.ir
true
3
Iran University of Science and Technology
Iran University of Science and Technology
Iran University of Science and Technology
AUTHOR
[1] Uchino K. Piezoelectric Actuators 2004–Materials, Design, Drive/Control, Modeling and Applications. Proc 9th Int Conf New Actuators; 2004.
1
[2] Lee S, Kim J, Moon W, Choi J, Park I, Bae D. A multibody-based dynamic simulation method for electrostatic actuators. Nonlinear Dyn 2008; 54: 53-68.
2
[3] Lim YH, Varadan VV, Varadan VK. Finite-element modeling of the transient response of MEMS sensors. Smart Mater Struct 1997; 6: 53-61.
3
[4] Beek JV, Puers R. A review of MEMS oscillators for frequency reference and timing applications. J Micro-mechanics Micro-engineering 2011; 22: 013001.
4
[5] Korayem M, Rahneshin V, Sadeghzadeh S. Coarse-grained molecular dynamics simulation of au-tomatic nanomanipulation process: The effect of tip damage on the positioning errors. Comput Mater Sci 2012; 60: 201-211.
5
[6] Korayem M, Rahneshin V, Sadeghzadeh S. Nano cluster manipulation success considering flexi-bility of system: Coarse grained molecular dy-namics simulations. Scientia Iranica 2012; 19: 1288-1298.
6
[7] Darvizeh M, Darvizeh A, Ansari R, Sharma C. Buckling analysis of generally laminated compo-site plates (generalized differential quadrature rules versus Rayleigh–Ritz method). Compos Struct 2004; 63: 69-74.
7
[8] Hosseini-Hashemi S, Fadaee M, Taher HRD. Ex-act solutions for free flexural vibration of Lévy-type rectangular thick plates via third-order shear deformation plate theory. Appl Math Model 2011; 35: 708-727.
8
[9] Hashemi SH, Arsanjani M. Exact characteristic equations for some of classical boundary condi-tions of vibrating moderately thick rectangular plates. Int J Solids Struct 2005; 42: 819-853.
9
[10] Tornabene F. Free vibrations of anisotropic dou-bly-curved shells and panels of revolution with a free-form meridian resting on Winkler–Pasternak elastic foundations. Compos Struct 2011; 94: 186-206.
10
[11] Balamurugan V, Narayanan S. A piezolaminated composite degenerated shell finite element for active control of structures with distributed pie-zosensors and actuators. Smart Mater Struct 2008; 17: 035031.
11
[12] Benjeddou A. Advances in piezoelectric finite element modeling of adaptive structural ele-ments: a survey. Comput Struct 2000; 76: 347-363.
12
[13] Tornabene F. 2D GDQ solution for free vibra-tions of anisotropic doubly-curved shells and panels of revolution. Compos Struct 2011; 93: 1854-1876.
13
[14] Hong C. Computational approach of piezoelectric shells by the GDQ method. Compos Struct 2010; 92: 811-816.
14
[15] Chen C. A differential quadrature element meth-od. Proc 1st Int Conf Eng Comput Sim; 1995.
15
[16] Korayem M, Sadeghzadeh S, Homayooni A. Semi-analytical motion analysis of nano-steering de-vices, segmented piezotube scanners. Int J Mech Sci 2011; 53: 536-548.
16
[17] Korayem M, Homayooni A, Sadeghzadeh S, Safa M, Rahneshin V. A semi-analytic modeling of nonlinearities for nano-robotic applications, macro and micro sized systems. 2nd Int Conf Control, Instrumentation Automation; 2011.
17
[18] Sadeghzadeh S, Korayem MH, Rahneshin V, Homayooni A, Moradi M. Nanorobotic Applica-tions of Finite Element Method. Computation-al Finite Element Methods in Nanotechnology, Editor: Musa S. CRC Press: Taylor and Francis Corporation; 2012.
18
[19] Sadeghzadeh S, Korayem M, Rahneshin V, Homayooni A. A shape-feedback approach for more precise automatic nano manipulation pro-cess. 2nd Int Conf Control, Instrumentation and Automation; 2011.
19
[20] Hamed S, Ghader R. Comparison of generalized differential quadrature and Galerkin methods for the analysis of micro-electro-mechanical cou-pled systems. Commun Nonlinear Sci Numer Sim 2009; 14: 2807-2816.
20
[21] Collinger J, Wickert JA, Corr L. Adaptive piezoe-lectric vibration control with synchronized switching. J Dyn Sys Measurement Control 2009; 131: 041006.
21
ORIGINAL_ARTICLE
Improving Mechanical Properties of Nanocomposite-based Epoxy by High-impact Polystyrene and Multiwalled Carbon Nanotubes: Optimizing by a Mixture Design Approach
In the current study the influence of weight percentage of HIPS, weight percentage of CNT and hardener content on damping 1st and damping 2nd properties of epoxy/HIPS/CNT hybrid composite wase valuated. Mixture design methodology was employed to generate mathematical models for predicting damping 1st and damping 2nd behaviors of new mentioned hybrid nanocomposite as function of physical factors and optimizing desired mechanical properties. The maximum and minimum values of damping 1st occurred in run numbers 7 and 1 and were 3.71%and 1.64 % respectively, moreover maximum and minimum values of damping 2nd occurred in coded levels 9 and 1 with the values of 4.25% and 1.82 % respectively. Results of analysis of variance showed that input variables had linear effect on both of the studied responses, also two component interactions X1*X2, X1*X3 and X2*X3 affected damping 1st and damping 2nd due to their obtained P-values. Optimization results described that the highest value for damping 1st and damping 2nd were 3.53% and 4.11% respectively.Coded values were HIPS= 0.222, CNT= 0.301 and hardener= 0.476 and corresponding mixture components were HIPS=4.18wt%, CNT= 1.12 wt% and hardener= 25.75phr respectively.
http://macs.journals.semnan.ac.ir/article_2273_3bd8f07ef567b8d24e0cd036d844fa64.pdf
2017-04-01T11:23:20
2017-11-19T11:23:20
33
45
10.22075/macs.2017.1580.1076
Carbon fibre
Hybrid
Laminates
Mechanical properties
Mixture Design
Yasser
Rostamiyan
y.rostamiyan@yahoo.com
true
1
Department of Mechanical Engineering, Sari Branch, Islamic Azad University, Sari, Iran
Department of Mechanical Engineering, Sari Branch, Islamic Azad University, Sari, Iran
Department of Mechanical Engineering, Sari Branch, Islamic Azad University, Sari, Iran
LEAD_AUTHOR
[1] Xu M, Hu J, Zou X, Liu M, Dong S, Zou Y. Mechanical and thermal enhancements of benzoxazine-based GF composite laminated by in situ reaction with carboxyl functionalized CNTs. J Appl Polym Sci 2013; 129(5): 2629-2637.
1
[2] Eronat N, Candan U, Turkun M. Effects of glass fiber layering on the flexural strength of microfill and hybrid composites. J Esthetic Restorative Dentistry 2009; 21(3): 171-178.
2
[3] Wu X, Wang Y, Xie L, Yu J, Liu F, Jiang P. Thermal and electrical properties of epoxy composites at high alumina loadings and various temperatures. Iranian Polym J 2013; 22(1): 61-73.
3
[4] LeBaron PC, Wang Z, Pinnavaia TJ, Polymer-layered silicate nanocomposites: an overview. Appl Clay Sci 1999; 15(1-2): 11-29.
4
[5] Vallittu PK. Flexural properties of acrylic resin polymers reinforced with unidirectional and woven glass fibers. J Prosthetic Dentistry 2009; 81(3): 318-326.
5
[6] Rostamiyan Y, Fereidoon A, Rezaeiashtiyani M, Mashhadzadeh AH, Salmankhani A. Experimental and optimizing flexural strength of epoxy-based nanocomposite: Effect of using nano silica and nano clay by using response surface design methodology. Mater Des 2015; 69: 96-104.
6
[7] Rostamiyan Y, Fereidoon A, Mashhadzadeh AH, Ashtiyani MR, Salmankhani A. Using response surface methodology for modeling and optimizing tensile and impact strength properties of fiber orientated quaternary hybrid nano composite. Compos Part B: Eng 2015; 69: 304-316.
7
[8] Panthapulakkal S, Sain M. Injection-molded short hemp fiber/glass fiber-reinforced polypropylene hybrid composites - Mechanical, water absorption and thermal properties. J Appl Polym Sci 2007; 103(4): 2432-2441.
8
[9] Bekyarova E, Thostenson ET, Yu A, Kim H, Gao J, Tang J. Multiscale carbon nanotube-carbon fiber reinforcement for advanced epoxy composites. Langmuir 2007; 23(7): 3970-3974.
9
[10] Godara A, Mezzo L, Luizi F, Warrier A, Lomov SV, van Vuure AW. Influence of carbon nanotube reinforcement on the processing and the mechanical behaviour of carbon fiber/epoxy composites. Carbon 2009; 47(12): 2914-2923.
10
[11] Xu Y, Hoa SV. Mechanical properties of carbon fiber reinforced epoxy/clay nanocomposites. Compos Sci Technol 2008; 68(3-4): 854-861.
11
[12] Gojny FH, Wichmann MHG, Fiedler B, Bauhofer W, Schulte K. Influence of nano-modification on the mechanical and electrical properties of conventional fibre-reinforced composites. Compos Part A: Appl Sci Manuf 2005; 36(11): 1525-1535.
12
[13] Akbari R, Beheshty M, Shervin M. Toughening of dicyandiamide-cured DGEBA-based epoxy resins by CTBN liquid rubber. Iran Polym J 2013; 22(5): 313-324.
13
[14] Ragosta G, Musto P, Scarinzi G, Mascia L, Epoxy-silica particulatenanocomposites: Chemical interactions, reinforcement and fracture toughness Polym 2005; 46: 10506-10516.
14
[15] Mirmohseni A., Zavareh S. Epoxy/acrylonitrile-butadiene-styrene copolymer/clay ternary nanocomposite as impact toughened epoxy. J Polym Res 2010; 17(2): 191-201.
15
[16] Becker O, Varley RJ, Simon GP. Thermal stability and water uptake of high performance epoxy layered silicate nanocomposites. Eur Polym J 2004; 40(1): 187-195.
16
[17] Zheng Y, Zheng Y, Ning R, Effects of nanoparticles SiO2 on the performance of nanocomposites. Mater Let 2003; 57(19): 2940-2944.
17
[18] Uddin MF, Sun CT. Improved dispersion and mechanical properties of hybrid nanocomposites. Compos Sci Technol 2010; 70(2): 223-230.
18
[19] Rostamiyan Y, Fereidoon AB. Preparation, Modeling, and optimization of mechanical properties of epoxy/HIPS/silica hybrid nanocomposite using combination of central composite design and genetic algorithm. Part 1. Study of damping and tensile strengths. Strength Mater 2013; 45(5): 619-634.
19
[20] Fereidoon A, Mashhadzadeh HA, Rostamiyan Y, Experimental, modeling and optimization study on the mechanical properties of epoxy/high-impact polystyrene/multi-walled carbon nanotube ternary nanocomposite using artificial neural network and genetic algorithm, J Sci Eng Compos Mater 2013; 20(3): 265-276.
20
[21] Rostamiyan Y, Fereidoon AB, Mashhadzadeh AH, Khalili MA. Augmenting epoxy toughness by combination of both thermoplastic and nanolayered materials and using artificial intelligence techniques for modeling and optimization. J Polym Res 2013; 20(6): 1-11.
21
[22] Mirmohseni A, Zavareh S. Modeling and optimization of a new impact-toughened epoxy nanocomposite using response surface methodology. J Polym Res 2011; 18(4): 509-517.
22
[23] Mirmohseni A, Zavareh S. Preparation and characterization of an epoxy nanocomposite toughened by a combination of thermoplastic, layered and particulate nano-fillers. Mater Des 2010; 31(6): 2699-2706.
23
[24] Leardi R. Experimental design in chemistry: A tutorial. Analytica Chimica Acta 2009; 652(1-2): 161-172.
24
[25] Zhang C, Wong WK. Optimal designs for mixture models with amount constraints. Statistics Probability Let 2013; 83(1): 196-202.
25
[26] Rostamiyan Y, Mashhadzadeh AH, Salman Khani A. Optimization of mechanical properties of epoxy-based hybrid nanocomposite: Effect of using nano silica and high-impact polystyrene by mixture design approach. Mater Des 2014; 56: 1068-1077.
26
[27] Rostamiyan Y, Fereidoon A, Ghasemi Ghalebahman A, Mashhadzadeh AH, Salmankhani A. Experimental study and optimization of damping properties of epoxy-based nanocomposite: Effect of using nanosilica and high-impact polystyrene by mixture design approach. Mater Des 2015; 65: 1236-1244.
27
[28] Rostamiyan Y, Mashhadzadeh AH, Fereidoon A. Investigation of damping and toughness properties of epoxy-based nanocomposite using different reinforcement mechanisms: Polymeric alloying, nanofiber, nanolayered, and nanoparticulate materials. J Sci Eng Compos Mater 2015; 22(3): 223-229.
28
[29] Pionteck J, Muller Y, Haubler L. Reactive epoxy-CTBN rubber blends: Reflection of changed curing mechanism in cure shrinkage and phase separation behaviour. Macromolecular Symposia 2011; 306-307(1): 126-140.
29
[30] Lopez J, Ramirez C, Abad MJ, Barral L, Cano J, Diez FJ. Blends of acrylonitrile-butadiene-styrene with an epoxy/cycloaliphatic amine resin: Phase-separation behavior and morphologies. J ApplPolym Sci 2002; 85(6): 1277-1286.
30
ORIGINAL_ARTICLE
On the Buckling the Behavior of a Multiphase Smart Plate based on a Higher-order Theory
Magneto-electro-elastic materials are multiphase smart materials that exhibit coupling among electrical, magnetic and mechanical energy fields. Due to this ability, they have been the topic of numerous research in the past decade. In this paper, buckling behavior of a multiphase magneto-electro-elastic rectangular plate with simply supported boundary conditions is investigated, based on Reddy’s higher-order shear deformation theory. Gauss’s laws for electrostatics and magnetostatics are used to model the electric and magnetic behaviors of the plate. The partial differential equations of motion are reduced to ordinary differential equations by using the Galerkin method. Then, the closed-form expression for the critical buckling load of the plate considered is obtained. Some examples are presented to validate the study and to investigate the effects of some parameters on the critical buckling loads of the multiphase magneto-electro-elastic rectangular plates. It is found that the buckling behavior of the magneto-electro-elastic plate is dominated by the elastic properties of the plate, and magneto-electric coefficients slightly increase the critical buckling load of the plate.
http://macs.journals.semnan.ac.ir/article_485_c868b22f717139ca4a769fdb3136f82c.pdf
2017-04-01T11:23:20
2017-11-19T11:23:20
47
58
10.22075/macs.2016.485
Analytical solution
Buckling load
Higher-order plate theory
Magneto-electro-elastic coupling
Smart plate
Soheil
Razavi
soheilrazavi@outlook.com
true
1
Young Researchers and Elite Club, Tabriz Branch, Islamic Azad University, Tabriz, Iran
Young Researchers and Elite Club, Tabriz Branch, Islamic Azad University, Tabriz, Iran
Young Researchers and Elite Club, Tabriz Branch, Islamic Azad University, Tabriz, Iran
LEAD_AUTHOR
[1] Brunelle EJ. Buckling of transversely isotropic Mindlin plates. AIAA Journal 1971; 9: 1018-22.
1
[2] Mizusawa T. Buckling of rectangular Mindlin plates with tapered thickness by the spline strip method. Int J Solids Struct 1993; 30: 1663-77.
2
[3] Dawe DJ, Wang S. Spline finite strip analysis of the buckling and vibration of rectangular compo-site laminated plates. Int J Mech Sci 1995; 37: 645-67.
3
[4] Wang W, Bert CW, Striz AG. Differential quadra-ture analysis of deflection, buckling, and free vi-bration of beams and rectangular plates. Comput Struct 1993; 48: 473-9.
4
[5] Teo TM, Liew KM. A differential quadrature pro-cedure for three-dimensional buckling analysis of rectangular plates. Int J Solids Struct 1999; 36: 1149-68.
5
[6] Mohieddin Ghomshei MM, Mahmoudi A. Ther-mal buckling analysis of cross-ply laminated rectangular plates under nonuniform tempera-ture distribution: A differential quadrature ap-proach. J Mech Sci Tech 2010; 24: 2519-27.
6
[7] Wang X, Wang Y, Ge L. Accurate buckling analy-sis of thin rectangular plates under locally dis-tributed compressive edge stresses. Thin-Walled Struct 2016; 100: 81-92.
7
[8] Wang X, Wang X, Shi X. Accurate buckling loads of thin rectangular plates under parabolic edge compressions by the differential quadrature method. Int J Mech Sci 2007; 49: 447-53.
8
[9] Cui S, Hao H, Cheong HK. Numerical analysis of dynamic buckling of rectangular plates subjected to intermediate-velocity impact. Int J Impact Eng 2001; 25(2): 147-67.
9
[10] Xiang Y, Wang CM. Exact buckling and vibration solutions for stepped rectangular plates. J Sound Vib 2002; 250(3): 503-17.
10
[11] Chen XL, Liew KM. Buckling of rectangular func-tionally graded material plates subjected to non-linearly distributed in-plane edge loads. Smart Mater Struct 2004; 13(6): 1430-7.
11
[12] Wang D, Peng H. A Hermite reproducing kernel Galerkin meshfree approach for buckling analy-sis of thin plates. Comput Mech 2013; 51(6): 1013-29.
12
[13] Javaheri R, Eslami MR. Thermal buckling of functionally graded plates based on higher order theory. J Thermal Stresses 2002; 25(7): 603-25.
13
[14] Matsunaga H. Thermal buckling of functionally graded plates according to a 2D higher-order de-formation theory. Compos Struct 2009; 90(1): 76-86.
14
[15] Selim S, Akbarov SD. FEM analysis of the three-dimensional buckling problem for a clamped thick rectangular plate made of a viscoelastic composite. Mech Compos Mater 2003; 39(6): 531-40.
15
[16] Ghorbanpour Arani A, Maghamikia Sh, Moham-madimehr M, Arefmanesh A. Buckling analysis of laminated composite rectangular plates rein-forced by SWCNTs using analytical and finite el-ement methods. J Mech Sci Technol 2011; 25(3): 809-20.
16
[17] Mohammadi M, Saidi AR, Jomehzadeh E. Levy solution for buckling analysis of functionally graded rectangular plates. Appl Compos Mater 2010; 17(2): 81-93.
17
[18] Kim SE, Thai HT, Lee J. Buckling analysis of plates using the two variable refined plate theo-ry. Thin-Walled Struct 2009; 47(4): 455-62.
18
[19] Thai HT, Kim SE. Levy-type solution for buckling analysis of orthotropic plates based on two vari-able refined plate theory. Compos Struct 2011; 93(7): 1738-46.
19
[20] Bodaghi M, Saidi AR. Levy-type solution for buckling analysis of thick functionally graded rectangular plates based on the higher-order shear deformation plate theory. Appl Math Model 2010; 34(11): 3659-73.
20
[21] Thai HT, Vo TP. A new sinusoidal shear defor-mation theory for bending, buckling, and vibra-tion of functionally graded plates. Appl Math Model 2013; 37(5): 3269-81.
21
[22] Kulkarni K, Singh BN, Maiti DK. Analytical solu-tion for bending and buckling analysis of func-tionally graded plates using inverse trigonomet-ric shear deformation theory. Compos Struct 2015; 134: 147-57.
22
[23] Bouazza M, Lairedj A, Benseddiq N, Khalki S. A refined hyperbolic shear deformation theory for thermal buckling analysis of cross-ply laminated plates. Mech Res Commun 2016; 73: 117-26.
23
[24] Grover N, Maiti DK, Singh BN. A new inverse hyperbolic shear deformation theory for static and buckling analysis of laminated composite and sandwich plates. Compos Struct 2013; 95: 667-75.
24
[25] Sayyad AS, Ghugal YM. Buckling and free vibra-tion analysis of orthotropic plates by using ex-ponential shear deformation theory. Latin Amer-ican J Solids Struct 2014; 11(8): 1298-314.
25
[26] Fares ME, Zenkour AM. Buckling and free vibra-tion of non-homogeneous composite cross-ply laminated plates with various plate theories. Compos Struct 1999; 44(4): 279-87.
26
[27] Zenkour AM. Buckling of fiber-reinforced viscoe-lastic composite plates using various plate theo-ries. J Eng Math 2004; 50(1): 75-93.
27
[28] Ranjbaran A, Khoshravan MR, Kharazi M. Buck-ling analysis of sandwich plate using layerwise theory. J Mech Sci Technol 2014; 28(6): 2769-77.
28
[29] Cetkovic M. Thermal buckling of laminated composite plates using layerwise displacement model. Compos Struct 2016; 142: 238-53.
29
[30] Jabbari M, Farzaneh Joubaneh E, Khorshidvand AR, Eslami MR. Buckling analysis of porous cir-cular plate with piezoelectric actuator layers un-der uniform radial compression. Int J Mech Sci 2013; 70: 50-6.
30
[31] Jandaghian AA, Rahmani O. On the buckling be-havior of piezoelectric nanobeams: An exact so-lution. J Mech Sci Technol 2015; 29(8): 3175-82.
31
[32] Pan E. Exact solution for simply supported and multilayered magneto-electro-elastic plates. J Appl Mech 2001; 68(4): 608-18.
32
[33] Pan E, Heyliger PR. Free vibrations of simply supported and multilayered magneto-electro-elastic plates. J Sound Vib 2002; 252(3): 429-42.
33
[34] Xue CX, Pan E, Zhang SY, Chu HJ. Large deflection of a rectangular magnetoelectroelastic thin plate. Mech Res Commun 2011; 38(7): 518-23.
34
[35] Razavi S, Shooshtari A. Nonlinear free vibration of magneto-electro-elastic rectangular plates. Compos Struct 2015; 119: 377-84.
35
[36] Kattimani SC, Ray MC. Smart damping of geomet-rically nonlinear vibrations of magneto-electro-elastic plates. Compos Struct 2014; 114: 51-63.
36
[37] Xu XJ, Deng ZC, Zhang K, Meng JM. Surface effects on the bending, buckling and free vibration anal-ysis of magneto-electro-elastic beams. Acta Mech 2016; 227(6): 1557-73.
37
[38] Li YS, Ma P, Wang W. Bending, buckling, and free vibration of magnetoelectroelastic nanobeam based on nonlocal theory. J Intelligent Mater Sys Struct 2016; 27(9): 1139-49.
38
[39] Li YS. Buckling analysis of magnetoelectroelastic plate resting on Pasternak elastic foundation. Mech Res Commun 2014; 56: 104-14.
39
[40] Kumaravel A, Ganesan N, Sethuraman R. Buck-ling and vibration analysis of layered and multi-phase magneto-electro-elastic cylinders subject-ed to uniform thermal loading. Multidiscipline Model Mater Struct 2010; 6(4): 475-92.
40
[41] Lang Z, Xuewu L. Buckling and vibration analysis of functionally graded magneto-electro-thermo-elastic circular cylindrical shells. Appl Math Model 2013; 37(4): 2279-92.
41
[42] Ansari R, Gholami R, Rouhi H. Size-dependent nonlinear forced vibration analysis of magneto-electro-thermo-elastic Timoshenko nanobeams based upon the nonlocal elasticity theory. Com-pos Struct 2015; 126: 216-226.
42
[43] Ebrahimi F, Barati MR. Magneto-electro-elastic buckling analysis of nonlocal curved nano-beams. Eur Phys J Plus 2016; 131: 346 (13 pages).
43
[44] Jamalpoor A, Ahmadi-Savadkoohi A, Hosseini-Hashemi Sh. Free vibration and biaxial buckling analysis of magneto-electro-elastic microplate resting on visco-Pasternak substrate via modi-fied strain gradient theory. Smart Mater Struct 2016; 25(10): 105035.
44
[45] Farajpour A, Hairi Yazdi MR, Rastgoo A, Loghma-ni M, Mohammadi M. Nonlocal nonlinear plate model for large amplitude vibration of magneto-electro-elastic nanoplates. Compos Struct 2016; 140: 323-336.
45
[46] Xu X, Deng Z, Zhang K, Meng J. Surface effects on the bending, buckling and free vibration analysis of magneto-electro-elastic beams. Acta Mech 2016; 227(6): 1557-1573.
46
[47] Liu J, Zhang P, Lin G, Wang W, Lu S. High order solutions for the magneto-electro-elastic plate with non-uniform materials. Int J Mech Sci 2016; 115-116: 532-551.
47
[48] Zhou Y, Zhu J. Vibration and bending analysis of multiferroic rectangular plates using third-order shear deformation theory. Compos Struct 2016; 153: 712-723.
48
[49] Wenjun W, Peng L, Feng J. Two-dimensional lin-ear elasticity theory of magneto-electro-elastic plates considering surface and nonlocal effects for nanoscale device applications. Smart Mater Struct 2016; 25(9): 095026 (15 pages).
49
[50] Reddy JN. Mechanics of laminated composite plates and shells: theory and analysis. 2nd ed. CRC Press; 2004.
50
[51] Razavi S, Shooshtari A. Free vibration analysis of a magneto-electro-elastic doubly-curved shell resting on a Pasternak-type elastic foundation. Smart Mater Struct 2014; 23(10): 105003 (9 pages).
51
[52] Wu CP, Lu YC. A modified Pagano method for the 3D dynamic responses of functionally graded magneto-electro-elastic plates. Compos Struct 2009; 90(3): 363-72.
52
ORIGINAL_ARTICLE
Free Vibration and Buckling Analyses of Functionally Graded Nanocomposite Plates Reinforced by Carbon Nanotube
This paper describes the application of refined plate theory to investigate free vibration and buckling analyses of functionally graded nanocomposite plates reinforced by aggregated carbon nanotube (CNT). The refined shear deformation plate theory (RSDT) uses four independent unknowns and accounts for a quadratic variation of the transverse shear strains across the thickness, satisfying the zero traction boundary conditions on the top and bottom surfaces of the plate without using shear correction factors. The motion equations are derived from Hamilton’s energy principle and Navier’s method is applied to solve this equation. The material properties of the functionally graded carbon nanotube reinforced composites (FG-CNTRCs) are assumed to vary along the thickness and estimated with the Mori–Tanaka approach. Effects on the natural frequency and critical buckling load of the FG-CNTRC plates by CNT volume fraction, CNT distribution, CNT cluster distribution, and geometric dimensions of the plate are investigated. Effects of loading conditions on the critical buckling load are also examined.
http://macs.journals.semnan.ac.ir/article_496_da40d6ffd5d8f34564ee36a6c5c7135b.pdf
2017-04-01T11:23:20
2017-11-19T11:23:20
59
73
10.22075/macs.2016.496
Mori–Tanaka approach
Refined plate theory
Aggregated carbon nanotubes
Free vibration
buckling
Rasool
Moradi-dastjerdi
rasoul.moradi@iaukhsh.ac.ir
true
1
Young Researchers and Elite Club,Khomeinishahr Branch, Islamic Azad University, Khomeinishahr, Iran
Young Researchers and Elite Club,Khomeinishahr Branch, Islamic Azad University, Khomeinishahr, Iran
Young Researchers and Elite Club,Khomeinishahr Branch, Islamic Azad University, Khomeinishahr, Iran
LEAD_AUTHOR
Hosein
Malek-Mohammadi
hoseinmm15@yahoo.com
true
2
Department of Mechanical Engineering, Bu-Ali Sina University, Hamedan
Department of Mechanical Engineering, Bu-Ali Sina University, Hamedan
Department of Mechanical Engineering, Bu-Ali Sina University, Hamedan
AUTHOR
[1] Esawi AMK, Farag MM, Carbon nanotube reinforced composites: potential and current challenges. Mate Des, 2007; 28: 2394-2401.
1
[2] Lau AKT, Hui D, The revolutionary creation of new advanced materials-carbon nanotube composites. Compos Part B, 2002; 33: 263-277.
2
[3] Thostenson ET, Ren Z, Chou TW, Advances in the science and technology of carbon nanotubes and their composites: a review. Compos Sci Technol, 2001; 61: 1899-1912.
3
[4] Han Y, Elliott J, Molecular dynamics simulations of the elastic properties of polymer/carbon nanotube composites. Comput Mater Sci, 2007; 39: 315-323.
4
[5] Alian, AR, Kundalwal, SI, Meguid, SA, Multiscale modeling of carbon nanotube epoxy composites, Polym, 2015; 70, 149-160.
5
[6] Kundalwal, SI, Ray MC, Smart damping of fuzzy fiber reinforced composite plates using 1--3 piezoelectric composites, J Vib Control, 2016; 22: 1526-1546.
6
[7] Kundalwal, SI, Meguid, SA, Effect of carbon nanotube waviness on active damping of laminated hybrid composite shells, Acta Mech, 2015; 226, 2035-2052.
7
[8] Ray, MC, Kundalwal, SI, Effect of Carbon Nanotube Waviness on the Load Transfer Characteristics of Short Fuzzy Fiber-Reinforced Composite, J Nanomech Micromech, 2013; 4, A4013010.
8
[9] Wuite J, Adali S, Deflection and stress behaviour of nanocomposite reinforced beams using a multiscale analysis. Compos struct, 2005; 71: 388-396.
9
[10] Formica G, Lacarbonara W, Alessi R, Vibrations of carbon nanotube reinforced composites. J Sound Vib, 2010; 329: 1875-1889.
10
[11] Vodenitcharova T, Zhang LC, Bending and local buckling of a nanocomposite beam reinforced by a single-walled carbon nanotube. Inter J Solid Struct, 2006; 43: 3006-3024.
11
[12] Reddy JN, Analysis of functionally graded plates. Int J Numerical Methods Eng, 2000; 47: 663-684.
12
[13] Zenkour AM, A comprehensive analysis of functionally graded sandwich plates. Part 2-buckling and free vibration deflection and stresses. Inter J Solid Struc, 2005; 42: 5243-5258.
13
[14] Cheng ZQ, Batra RC, Deflection relationships between the homogeneous Kirchhoff plate theory different functionally graded plate theories. Archive Mech, 2000; 52: 143-158.
14
[15] Cheng ZQ, Batra RC, Exact correspondence between eigenvalues of membranes and functionally graded simply supported polygonal plates. J Sound Vib, 2000; 229: 879-895.
15
[16] Amabili, M, Karazis, K, Khorshidi, K, Nonlinear vibrations of rectangular laminated composite plates with different boundary conditions, Inter J Struct Stab Dyn, 2011; 11, 673-695.
16
[17] Khorshid, K, Farhadi, S, Free vibration analysis of a laminated composite rectangular plate in contact with a bounded fluid, Compos struct, 2013; 104, 176-186.
17
[18] Khorshidi, K, Bakhsheshy, A, Free vibration analysis of a functionally graded rectangular plate in contact with a bounded fluid, Acta Mech, 2015; 226, 3401-3423.
18
[19] Tahouneh, V, Naei, MH, Semi-Analytical Solution for Free Vibration Analysis of Thick Laminated Curved Panels with Power-Law Distribution FG Layers and Finite Length Via Two-Dimensional GDQ Method, J solid mech, 2016; 8, 334-347.
19
[20] Tahouneh, V, Naei, MH, Free vibration and vibrational displacements analysis of thick elastically supported laminated curved panels with power-law distribution functionally graded layers and finite length via 2D GDQ method, JSandw Struct Mater, 2016; 18, 263-293.
20
[21] Tahouneh, V, Yas, MH, Tourang, H, Kabirian, M, Semi-analytical solution for three-dimensional vibration of thick continuous grading fiber reinforced (CGFR) annular plates on Pasternak elastic foundations with arbitrary boundary conditions on their circular edges, Meccanica, 2013; 48, 1313-1336.
21
[22] Tahouneh, V, Yas, MH, Semi-analytical solution for three-dimensional vibration analysis of thick multidirectional functionally graded annular sector plates under various boundary conditions, J Eng Mech, 2013, 140, 31-46.
22
[23] Shen HS, Postbuckling of nanotube-reinforced composite cylindrical shells in thermal environments, Part I: Axially-loaded shells. Compos struct, 2011; 93: 2096-20108.
23
[24] Mehrabadi SJ, Sobhani Aragh B, Khoshkhahesh V, Taherpour A, Mechanical buckling of nanocomposite rectangular plate reinforced by aligned and strait single-walled carbon nanotubes. Compos Part B, 2012; 43: 2031-2040.
24
[25] Mori T, Tanaka K, Average stress in matrix and average elastic energy of materials with Misfitting inclusions. Acta Metallurgica, 1973; 21: 571-574.
25
[26] Yas MH, Heshmati M, Dynamic analysis of functionally graded nanocomposite beams reinforced by randomly oriented carbon nanotube under the action of moving load. Applied Math Modelling, 2012; 36: 1371-1394.
26
[27] Sobhani Aragh B, Nasrollah Barati AH, Hedayati H, Eshelby–Mori–Tanaka approach for vibrational behavior of continuously graded carbon nanotube–reinforced cylindrical panels. Compos Part B, 2012; 43: 1943-1954.
27
[28] Pourasghar A, Yas MH, Kamarian S, Local aggregation effect of CNT on the vibrational behavior of four-parameter continuous grading nanotube-reinforced cylindrical panels. Polymer Compos, 2013; 34: 707-721.
28
[29] Moradi-Dastjerdi R, Pourasghar A, Foroutan M, The effects of carbon nanotube orientation and aggregation on vibrational behavior of functionally graded nanocomposite cylinders by a mesh-free method. Acta Mech, 2013; 224: 2817-2832.
29
[30] Tahouneh, V, Eskandari-Jam, J, A Semi-analytical Solution for 3-D Dynamic Analysis of Thick Continuously Graded Carbon Nanotube-reinforced Annular Plates Resting on a Two-parameter Elastic Foundation, Mech Adv compos struct, 2014; 1, 113-130.
30
[31] Tahouneh, V, Yas, MH, Influence of equivalent continuum model based on the Eshelby-Mori-Tanaka scheme on the vibrational response of elastically supported thick continuously graded carbon nanotube-reinforced annular plates, Polym Compos, 2014; 35, 1644-1661.
31
[32] Tahouneh, V, Naei, MH, The effect of multi-directional nanocomposite materials on the vibrational response of thick shell panels with finite length and rested on two-parameter elastic foundations, Int J Adv Struct Eng, 2016; 8, 11-28.
32
[33] Tahouneh, V, Using an equivalent continuum model for 3D dynamic analysis of nanocomposite plates, Steel Compos Struct, 2016; 20, 623-649.
33
[34] Tahouneh, V, Naei, MH, Using Eshelby-Mori-Tanaka scheme for 3D free vibration analysis of sandwich curved panels with functionally graded nanocomposite face sheets and finite length, Polym Compos, 2016; DOI: 10.1002/pc. 23929.
34
[35] AM Zenkour, Generalized shear deformation theory for bending analysis of functionally graded plates. Applied Math Modelling, 2006; 30: 67-84.
35
[36] Zenkour AM, The refined sinusoidal theory for FGM plates on elastic foundations, Inter J Mech Sci, 2009; 51, 869-880.
36
[37] Merdaci S, Tounsi A, Houari MS, Mechab I, Hebali H, Benyoucef S, Two new refined shear displacement models for functionally graded sandwich plates. Archive Applied Mech, 2011; 81: 1507-1522.
37
[38] Thai HT, Choi DH, A refined plate theory for functionally graded plates resting on elastic foundation. Compos Sci Technol, 2011; 71: 1850-1858.
38
[39] Akavci SS, Buckling and free vibration analysis of symmetric and antisymmetric laminated composite plates on an elastic foundation. J Reinf Plast Compos, 2007; 26: 1907-1919.
39
[40] Benyoucef S, Mechab I, Tounsi A, Fekrar A, Ait Atmane H, Adda Bedia EA, Bending of thick functionally graded plates resting on Winkler-Pasternak elastic foundations. Mech Compos Mater, 2010; 46: 425-434.
40
[41] Moradi-Dastjerdi, R, Payganeh, G, Malek-Mohammadi, H, Free Vibration Analyses of Functionally Graded CNT Reinforced Nanocomposite Sandwich Plates Resting on Elastic Foundation, J solid mech, 2015; 7, 158-172
41
[42] Khorshid, K, Fallah, A, Buckling analysis of functionally graded rectangular nano-plate based on nonlocal exponential shear deformation theory, Inter J Mech Sci, 2016; 113, 94-104.
42
[43] Khorshidi, K, Asgari, T, Fallah, A, Free Vibrations Analysis of Functionally Graded Rectangular Nano-plates based on Nonlocal Exponential Shear Deformation Theory, Mech Adv Compos Struct, 2015; 2, 79-93.
43
[44] Khorshidi, K, Khodadadi, M, Precision Closed-form Solution for Out-of-plane Vibration of Rectangular Plates via Trigonometric Shear Deformation Theory, Mech Adv Compos Struct, 2016; 3, 31-43.
44
[45] Ait Atmane H, Tounsi A, Mechab I, Adda Bedia EA, Free vibration analysis of functionally graded plates resting on Winkler-Pasternak elastic foundations using a new shear deformation theory. Inter J Mech Mater Des, 2010; 6: 113-121.
45
[46] Shi DL, Feng XQ, Yonggang YH, Hwang KC, Gao, H, The effect of nanotube waviness and agglomeration on the elastic property of carbon nanotube reinforced composites. J Eng Mater Technol, 2004; 126, 250-257.
46
[47] Prylutskyy YI, Durov SS, Ogloblya OV, Buzaneva EV, Scharff P, Molecular dynamics simulation of mechanical, vibrational and electronic properties of carbon nanotubes. Comput Mater Sci, 2000; 17: 352-355.
47
[48] Odegard GM, Gates TS, Wise KE, Park C, Siochi EJ, Constitutive modeling of nanotube-reinforced polymer composites. Compos Sci Technol, 2003; 63: 1671-1687.
48
[49] Barai P, Weng GJ, A theory of plasticity for carbon nanotube reinforced composite. Inter J Plast Technol, 2011; 27: 539-559.
49
[50] Matsunaga H, Free vibration and stability of functionally graded plates according to a 2D higher-order deformation theory. Compos struct, 2008; 82: 499-512.
50
[51] Bodaghi M, Saidi AR, Levy-type solution for buckling analysis of thick functionally graded rectangular plates based on the higher-order shear deformation plate theory. Appl Math Modelling, 2010; 34, 3659-3673.
51
[52] Thai, HT, Choi, DH, An efficient and simple refined theory for buckling analysis of functionally graded plates. Appl Math Modelling, 2012; 36: 1008-1022.
52
ORIGINAL_ARTICLE
A Numerical and Analytical Solution for the Free Vibration of Laminated Composites Using Different Plate Theories
An analytical and numerical solution for the free vibration of laminated polymeric composite plates with different layups is studied in this paper. The governing equations of the laminated composite plates are derived from the classical laminated plate theory (CLPT) and the first-order shear deformation plate theory (FSDT). General layups are evaluated by the assumption of cross-ply and angle-ply laminated plates. The solver is coded in MATLAB. As a verification method, a finite element code using ANSYS is also developed. The effects of lamination angle, plate aspect ratio and modulus ratio on the fundamental natural frequencies of a laminated composite are also investigated and good agreement is found between the results evaluated and those available in the open literature. The results show that the fundamental frequency increases with the modular ratio and the bending-stretching coupling lowers the vibration frequencies for both cross-ply and angle-ply laminates with the CLPT. Also it is found that the effect of bending-stretching coupling, transverse shear deformation and rotary inertia is to lower the fundamental frequencies.
http://macs.journals.semnan.ac.ir/article_2278_4c7f1a6972cd9834d060b86b27244a48.pdf
2017-04-01T11:23:20
2017-11-19T11:23:20
75
87
10.22075/macs.2017.1768.1090
Free vibration
laminated composites
plate theories
numerical method
analytical method
Mohammad Amin
Torabizadeh
torabizadeh@yahoo.com
true
1
University of Applied Science and Technology
University of Applied Science and Technology
University of Applied Science and Technology
LEAD_AUTHOR
Abdolhossein
Fereidoon
ab.fereidoon@gmail.com
true
2
University of Semnan
University of Semnan
University of Semnan
AUTHOR
[1] Campbell FC. Structural composite materials, ASM international; 2011.
1
[2] Tan p, Nie JG. Free and forced vibration of variable stiffness composite annular thin plates with elastically restrained edges. Compos Struct 2016; 149: 398-407.
2
[3] Zhang LW, Zhang Y, Zou GL, Liew KM. Free vibration analysis of triangular CNT-reinforced composite plates subjected to in-plane stresses using FSDT element-free method. Compos Struct 2016; 149: 247-260.
3
[4] Chakraborty S, Mandal B, Chowdhury R, Chakrabarti A. Stochastic free vibration analysis of laminated composite plates using polynomial correlated function expansion. Compos Struct 2016; 135: 236-249.
4
[5] Ganesh S, Kumar KS, Mahato PK. Free Vibration Analysis of Delaminated Composite Plates Using Finite Element Method. Int Conf Vib Problems; 2015. 1067-1075.
5
[6] Mantari JL, Ore M. Free vibration of single and sandwich laminated composite plates by using a simplified FSDT. Compos Struct 2015; 132: 952-959.
6
[7] Su Z, Jin G, Wang X. Free vibration analysis of laminated composite and functionally graded sector plates with general boundary conditions. Compos Struct 2015; 132: 720-736.
7
[8] Zhang LW, Lei ZX, Liew KM. Free vibration analysis of functionally graded carbon nanotube-reinforced composite triangular plates using the FSDT and element-free IMLS-Ritz method. Compos Struct 2015; 120: 189-199.
8
[9] Marjanivic M, Vuksanovic D. Layerwise solution of free vibrations and buckling of laminated composite and sandwich plates with embedded delamination. Compos Struct 2014; 108: 9-20.
9
[10] Boscolo M. Analytical solution for free vibration analysis of composite plates with layer-wise displacement assumptions. Compos Struct 2013; 100: 493-510.
10
[11] Qu Y, Wu S, Li H, Meng G. Three-dimensional free and transient vibration analysis of composite laminated and sandwich rectangular parallelepipeds: Beams, plates and solids. Compos Part B: Eng 2015; 73: 96-110.
11
[12] Rafiee M, Liu XF, He XQ, Kitipornchai S. Geometrically nonlinear free vibration of shear deformable piezoelectric carbon nanotube/fiber/polymer multiscale laminated composite plates. J Sound Vib 2014; 333 (14): 3236-3251.
12
[13] Akhras G, Li W. Stability and free vibration analysis of thick piezoelectric composite plates using spline finite strip method. Int J Mech Sci 2011; 53 (8): 575-584.
13
[14] Grover N, Singh BN, Maiti DK. Analytical and finite element modeling of laminated composite and sandwich plates: An assessment of a new shear deformation theory for free vibration response. Int J Mech Sci 2013; 67: 89-99.
14
[15] Jafari RA, Abedi M, Kargarnovin MH, Ahmadian MT. An analytical approach for the free vibration analysis of generally laminated composite beams with shear effect and rotary inertia. Int J Mech Sci 2012; 65 (1): 97-104.
15
[16] Tai H, Kim S. Free vibration of laminated composite plates using two variable refined plate theories. Int J Mech Sci 2010; 52 (4): 626-633.
16
[17] Srinivasa CV, Suresh JY, kumar WP. Experimental and finite element studies on free vibration of skew plates. Int J Adv Struct Eng 2014; 48 (6): 123-129.
17
[18] Ramu I, Mohanty SC. Study on Free Vibration Analysis of Rectangular Plate Structures Using Finite Element Method. Proc Eng2012; 38: 2758-2766.
18
[19] Chandrashekhara K. Free vibration of composite beams including rotary inertia and shear deformation. Compos Struct 1990; 14 (4): 269-279.
19
[20] Ke L, Yang J, Kitipornchai S. Nonlinear free vibration of functionally graded carbon nanotube-reinforced composite beams. Compos Struct 2010; 92 (3): 676-683.
20
[21] Song O. Free Vibration of Anisotropic Composite Thin-Walled Beams of Closed Cross-Section Contour. J Sound Vib 1993; 167 (1): 129-147.
21
[22] Lee J. Free vibration analysis of delaminated composite beams. Comput Struct 2000; 74 (2): 121-129.
22
[23] Reddy JN. Mechanics of laminated composite plates and shells, theory and analysis. 2nd ed. CRC Press; 2003.
23
[24] Bathe KJ. Finite element procedures. Prentie-Hall, Englewood cliffs; 1996.
24