Steel and Composite Structures

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Thermomechanical bending response of FGM thick plates resting on Winkler-Pasternak elastic foundations

  • Received : 2012.06.11
  • Accepted : 2012.11.30
  • Published : 2013.01.25
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Abstract

The present work deals with the thermomechanical bending response of functionally graded plates resting on Winkler-Pasternak elastic foundations. Theoretical formulations are based on a recently developed refined trigonometric shear deformation theory (RTSDT). The theory accounts for trigonometric distribution of transverse shear stress, and satisfies the free transverse shear stress conditions on the top and bottom surfaces of the plate without using shear correction factor. Unlike the conventional trigonometric shear deformation theory, the present refined trigonometric shear deformation theory contains only four unknowns as against five in case of other shear deformation theories. The material properties of the functionally graded plates are assumed to vary continuously through the thickness, according to a simple power law distribution of the volume fraction of the constituents. The elastic foundation is modelled as two-parameter Pasternak foundation. The results of the shear deformation theories are compared together. Numerical examples cover the effects of the gradient index, plate aspect ratio, side-to-thickness ratio and elastic foundation parameters on the thermomechanical behavior of functionally graded plates. It can be concluded that the proposed theory is accurate and efficient in predicting the thermomechanical bending response of functionally graded plates.

Keywords

References

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  121. Nonlinear thermal buckling analyses of functionally graded plates by a mesh-free radial point interpolation method vol.87, 2018, https://doi.org/10.1016/j.enganabound.2017.12.001
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  125. Dynamic behavior of a functionally graded plate resting on Winkler elastic foundation and in contact with fluid vol.50, pp.1, 2014, https://doi.org/10.12989/sem.2014.50.1.053
  126. Thermomechanical effects on the bending of antisymmetric cross-ply composite plates using a four variable sinusoidal theory vol.19, pp.1, 2015, https://doi.org/10.12989/scs.2015.19.1.093
  127. Elasticity solution for a cantilever beam with exponentially varying properties vol.58, pp.2, 2017, https://doi.org/10.1134/S0021894417020213
  128. Size-dependent free vibrations of electrostatically predeformed functionally graded micro-cantilevers vol.87, 2015, https://doi.org/10.1088/1757-899X/87/1/012117
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  130. Small-scale effects on the dynamic response of inhomogeneous nanobeams on elastic substrate under uniform dynamic load vol.132, pp.4, 2017, https://doi.org/10.1140/epjp/i2017-11441-9
  131. Influence of the porosities on the free vibration of FGM beams vol.21, pp.3, 2015, https://doi.org/10.12989/was.2015.21.3.273
  132. Critical Buckling Load of Chiral Double-Walled Carbon Nanotubes Embedded in an Elastic Medium vol.53, pp.6, 2018, https://doi.org/10.1007/s11029-018-9708-x
  133. Free vibration analysis of a rotating non-uniform functionally graded beam vol.19, pp.5, 2015, https://doi.org/10.12989/scs.2015.19.5.1279
  134. Thermo-mechanical post-buckling behavior of thick functionally graded plates resting on elastic foundations vol.56, pp.1, 2015, https://doi.org/10.12989/sem.2015.56.1.085
  135. Analytical solution of nonlinear cylindrical bending for functionally graded plates vol.9, pp.5, 2015, https://doi.org/10.12989/gae.2015.9.5.631
  136. Bending analysis of FGM plates under hygro-thermo-mechanical loading using a four variable refined plate theory vol.34, 2014, https://doi.org/10.1016/j.ast.2014.02.001
  137. Thermal post-buckling behavior of imperfect temperature-dependent sandwich FGM plates resting on Pasternak elastic foundation vol.22, pp.1, 2016, https://doi.org/10.12989/scs.2016.22.1.091
  138. Nonlinear vibration properties of a zigzag single-walled carbon nanotube embedded in a polymer matrix vol.3, pp.1, 2015, https://doi.org/10.12989/anr.2015.3.1.029
  139. Free vibration of functionally graded thin elliptic plates with various edge supports vol.53, pp.2, 2015, https://doi.org/10.12989/sem.2015.53.2.337
  140. A nonlocal zeroth-order shear deformation theory for free vibration of functionally graded nanoscale plates resting on elastic foundation vol.20, pp.2, 2016, https://doi.org/10.12989/scs.2016.20.2.227
  141. Stability of EG cylindrical shells with shear stresses on a Pasternak foundation vol.17, pp.4, 2014, https://doi.org/10.12989/scs.2014.17.4.453
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  143. Thermomechanical bending analysis of functionally graded sandwich plates with both functionally graded face sheets and functionally graded cores vol.25, pp.3, 2018, https://doi.org/10.1080/15376494.2016.1255814
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  146. Static bending and free vibration of FGM beam using an exponential shear deformation theory vol.4, pp.1, 2015, https://doi.org/10.12989/csm.2015.4.1.099
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  148. Theoretical and finite element studies of interfacial stresses in reinforced concrete beams strengthened by externally FRP laminates plate vol.30, pp.12, 2016, https://doi.org/10.1080/01694243.2016.1140703
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  150. Investigation of the mechanical properties on the large amplitude free vibrations of the functionally graded material sandwich plates 2017, https://doi.org/10.1177/1099636217701299
  151. Thermoelastic behavior of advanced composite sandwich plates by using a new 6 unknown quasi-3D hybrid type HSDT vol.126, 2015, https://doi.org/10.1016/j.compstruct.2015.01.055
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  153. On vibration behavior of rotating functionally graded double-tapered beam with the effect of porosities vol.230, pp.10, 2016, https://doi.org/10.1177/0954410015619647
  154. A unified solution for vibration analysis of plates with general structural stress distributions vol.8, pp.6, 2016, https://doi.org/10.1016/j.ijnaoe.2016.05.013
  155. Bending, buckling and vibration analyses of MSGT microcomposite circular-annular sandwich plate under hydro-thermo-magneto-mechanical loadings using DQM 2017, https://doi.org/10.1080/19475411.2017.1377312
  156. Generalized two-variable plate theory for multi-layered graphene sheets with arbitrary boundary conditions vol.225, pp.9, 2014, https://doi.org/10.1007/s00707-014-1093-5
  157. A novel four variable refined plate theory for bending, buckling, and vibration of functionally graded plates vol.22, pp.3, 2016, https://doi.org/10.12989/scs.2016.22.3.473
  158. A NEW SIMPLE HYPERBOLIC SHEAR DEFORMATION THEORY FOR FUNCTIONALLY GRADED PLATES RESTING ON WINKLER–PASTERNAK ELASTIC FOUNDATIONS vol.11, pp.06, 2014, https://doi.org/10.1142/S0219876213500989
  159. Analysis of buckling response of functionally graded sandwich plates using a refined shear deformation theory vol.22, pp.3, 2016, https://doi.org/10.12989/was.2016.22.3.291
  160. Bending analysis of different material distributions of functionally graded beam vol.123, pp.4, 2017, https://doi.org/10.1007/s00339-017-0854-0
  161. On vibration properties of functionally graded nano-plate using a new nonlocal refined four variable model vol.18, pp.4, 2015, https://doi.org/10.12989/scs.2015.18.4.1063
  162. Refined plate theory for bending analysis of a HSLA steel plate under 3D temperature field vol.250, 2015, https://doi.org/10.1016/j.amc.2014.10.122
  163. A refined quasi-3D shear deformation theory for thermo-mechanical behavior of functionally graded sandwich plates on elastic foundations 2017, https://doi.org/10.1177/1099636217727577
  164. A trigonometric four variable plate theory for free vibration of rectangular composite plates with patch mass vol.17, pp.1, 2014, https://doi.org/10.12989/scs.2014.17.1.069
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  166. Powell inversion mechanical model of foundation parameters with generalized Bayesian theory vol.18, pp.7, 2017, https://doi.org/10.1631/jzus.A1600440
  167. Critical buckling load of chiral double-walled carbon nanotube using non-local theory elasticity vol.3, pp.4, 2015, https://doi.org/10.12989/anr.2015.3.4.193
  168. Space robot active collision avoidance maneuver under thruster failure vol.67, 2017, https://doi.org/10.1016/j.ast.2017.03.037
  169. Thermal analysis of FGM plates – A critical review of various modeling techniques and solution methods vol.160, 2017, https://doi.org/10.1016/j.compstruct.2016.10.047
  170. Thermo-elastic analysis of functionally graded circular plates resting on a gradient hybrid foundation vol.256, 2015, https://doi.org/10.1016/j.amc.2015.01.026
  171. Effect of shear deformation on adhesive stresses in plated concrete beams: Analytical solutions vol.15, pp.3, 2015, https://doi.org/10.12989/cac.2015.15.3.337
  172. Rigid-flexible-thermal coupling dynamic formulation for satellite and plate multibody system vol.52, 2016, https://doi.org/10.1016/j.ast.2016.02.025
  173. Buckling and vibration analysis of embedded functionally graded carbon nanotube-reinforced composite annular sector plates under thermal loading vol.109, 2017, https://doi.org/10.1016/j.compositesb.2016.10.050
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  175. On bending, buckling and vibration responses of functionally graded carbon nanotube-reinforced composite beams vol.19, pp.5, 2015, https://doi.org/10.12989/scs.2015.19.5.1259
  176. Nonlocal transient electrothermomechanical vibration and bending analysis of a functionally graded piezoelectric single-layered nanosheet rest on visco-Pasternak foundation vol.40, pp.2, 2017, https://doi.org/10.1080/01495739.2016.1229146
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  178. Thermal stresses in a non-homogeneous orthotropic infinite cylinder vol.59, pp.5, 2016, https://doi.org/10.12989/sem.2016.59.5.841
  179. Higher order refined computational models for the stability analysis of FGM plates – Analytical solutions vol.47, 2014, https://doi.org/10.1016/j.euromechsol.2014.06.003
  180. Isogeometric buckling analysis of composite variable-stiffness panels vol.165, 2017, https://doi.org/10.1016/j.compstruct.2017.01.016
  181. Investigation of the effects of viscous damping mechanisms on structural characteristics in coupled shear walls vol.116, 2016, https://doi.org/10.1016/j.engstruct.2016.02.031
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  183. Multiscale modelling approach to determine the specific heat of cementitious materials pp.2116-7214, 2018, https://doi.org/10.1080/19648189.2018.1443157
  184. Fracture problems, vibration, buckling, and bending analyses of functionally graded materials: A state-of-the-art review including smart FGMS pp.1548-0046, 2018, https://doi.org/10.1080/02726351.2017.1410265
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  198. Determination of Optimum Process Parameters for Cutting Hole in a Randomly-oriented Glass Fiber Reinforced Epoxy Composite by Milling Process: Maximization of Surface Quality and Cut-hole Strength vol.24, pp.2, 2016, https://doi.org/10.1177/096739111602400201
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  200. A new five unknown quasi-3D type HSDT for thermomechanical bending analysis of FGM sandwich plates vol.22, pp.5, 2013, https://doi.org/10.12989/scs.2016.22.5.975
  201. Dynamic instability analysis for S-FGM plates embedded in Pasternak elastic medium using the modified couple stress theory vol.22, pp.6, 2013, https://doi.org/10.12989/scs.2016.22.6.1239
  202. Hygrothermal effects on buckling of composite shell-experimental and FEM results vol.22, pp.6, 2016, https://doi.org/10.12989/scs.2016.22.6.1445
  203. Mechanical behaviour of FGM sandwich plates using a quasi-3D higher order shear and normal deformation theory vol.61, pp.1, 2013, https://doi.org/10.12989/sem.2017.61.1.049
  204. A novel quasi-3D hyperbolic shear deformation theory for functionally graded thick rectangular plates on elastic foundation vol.12, pp.1, 2013, https://doi.org/10.12989/gae.2017.12.1.009
  205. Effect of magnetic field on wave propagation in cylindrical poroelastic bone with cavity vol.61, pp.4, 2013, https://doi.org/10.12989/sem.2017.61.4.539
  206. A nonlocal quasi-3D theory for bending and free flexural vibration behaviors of functionally graded nanobeams vol.19, pp.2, 2017, https://doi.org/10.12989/sss.2017.19.2.115
  207. A non-polynomial four variable refined plate theory for free vibration of functionally graded thick rectangular plates on elastic foundation vol.23, pp.3, 2013, https://doi.org/10.12989/scs.2017.23.3.317
  208. Bending and stability analysis of size-dependent compositionally graded Timoshenko nanobeams with porosities vol.6, pp.1, 2017, https://doi.org/10.12989/amr.2017.6.1.045
  209. Thermal buckling analysis of cross-ply laminated plates using a simplified HSDT vol.19, pp.3, 2013, https://doi.org/10.12989/sss.2017.19.3.289
  210. Wave propagation in functionally graded beams using various higher-order shear deformation beams theories vol.62, pp.2, 2013, https://doi.org/10.12989/sem.2017.62.2.143
  211. Analysis of functionally graded plates using a sinusoidal shear deformation theory vol.19, pp.4, 2017, https://doi.org/10.12989/sss.2017.19.4.441
  212. A novel and simple HSDT for thermal buckling response of functionally graded sandwich plates vol.62, pp.4, 2017, https://doi.org/10.12989/sem.2017.62.4.401
  213. Displacement Analytical Solution of a Circular Hole in Layered Composite Materials considering Shear Stress Effect vol.26, pp.3, 2013, https://doi.org/10.1177/096369351702600303
  214. A nonlocal zeroth-order shear deformation theory for nonlinear postbuckling of nanobeams vol.62, pp.6, 2017, https://doi.org/10.12989/sem.2017.62.6.695
  215. Free vibration analysis of embedded nanosize FG plates using a new nonlocal trigonometric shear deformation theory vol.19, pp.6, 2013, https://doi.org/10.12989/sss.2017.19.6.601
  216. A new shear deformation plate theory with stretching effect for buckling analysis of functionally graded sandwich plates vol.24, pp.5, 2017, https://doi.org/10.12989/scs.2017.24.5.569
  217. Free vibrations of laminated composite plates using a novel four variable refined plate theory vol.24, pp.5, 2017, https://doi.org/10.12989/scs.2017.24.5.603
  218. An original single variable shear deformation theory for buckling analysis of thick isotropic plates vol.63, pp.4, 2017, https://doi.org/10.12989/sem.2017.63.4.439
  219. Rotating effects on hygro-mechanical vibration analysis of FG beams based on Euler-Bernoulli beam theory vol.63, pp.4, 2013, https://doi.org/10.12989/sem.2017.63.4.471
  220. A simple analytical approach for thermal buckling of thick functionally graded sandwich plates vol.63, pp.5, 2013, https://doi.org/10.12989/sem.2017.63.5.585
  221. An efficient shear deformation theory for wave propagation in functionally graded material beams with porosities vol.13, pp.3, 2013, https://doi.org/10.12989/eas.2017.13.3.255
  222. A four variable refined nth-order shear deformation theory for mechanical and thermal buckling analysis of functionally graded plates vol.13, pp.3, 2013, https://doi.org/10.12989/gae.2017.13.3.385
  223. Vibration analysis of nonlocal advanced nanobeams in hygro-thermal environment using a new two-unknown trigonometric shear deformation beam theory vol.20, pp.3, 2013, https://doi.org/10.12989/sss.2017.20.3.369
  224. A new and simple HSDT for thermal stability analysis of FG sandwich plates vol.25, pp.2, 2013, https://doi.org/10.12989/scs.2017.25.2.157
  225. A novel simple two-unknown hyperbolic shear deformation theory for functionally graded beams vol.64, pp.2, 2013, https://doi.org/10.12989/sem.2017.64.2.145
  226. Free vibration of functionally graded plates resting on elastic foundations based on quasi-3D hybrid-type higher order shear deformation theory vol.20, pp.4, 2017, https://doi.org/10.12989/sss.2017.20.4.509
  227. An efficient and simple four variable refined plate theory for buckling analysis of functionally graded plates vol.25, pp.3, 2013, https://doi.org/10.12989/scs.2017.25.3.257
  228. A novel and simple higher order shear deformation theory for stability and vibration of functionally graded sandwich plate vol.25, pp.4, 2017, https://doi.org/10.12989/scs.2017.25.4.389
  229. A simple quasi-3D sinusoidal shear deformation theory with stretching effect for carbon nanotube-reinforced composite beams resting on elastic foundation vol.13, pp.5, 2013, https://doi.org/10.12989/eas.2017.13.5.509
  230. A new nonlocal trigonometric shear deformation theory for thermal buckling analysis of embedded nanosize FG plates vol.64, pp.4, 2013, https://doi.org/10.12989/sem.2017.64.4.391
  231. Vibration analysis of micro composite thin beam based on modified couple stress vol.64, pp.4, 2017, https://doi.org/10.12989/sem.2017.64.4.403
  232. A new quasi-3D HSDT for buckling and vibration of FG plate vol.64, pp.6, 2013, https://doi.org/10.12989/sem.2017.64.6.737
  233. An efficient hyperbolic shear deformation theory for bending, buckling and free vibration of FGM sandwich plates with various boundary conditions vol.25, pp.6, 2013, https://doi.org/10.12989/scs.2017.25.6.693
  234. A new simple three-unknown shear deformation theory for bending analysis of FG plates resting on elastic foundations vol.25, pp.6, 2013, https://doi.org/10.12989/scs.2017.25.6.717
  235. An original HSDT for free vibration analysis of functionally graded plates vol.25, pp.6, 2013, https://doi.org/10.12989/scs.2017.25.6.735
  236. The role of micromechanical models in the mechanical response of elastic foundation FG sandwich thick beams vol.68, pp.1, 2018, https://doi.org/10.12989/sem.2018.68.1.053
  237. Post-buckling analysis of shear-deformable composite beams using a novel simple two-unknown beam theory vol.65, pp.5, 2013, https://doi.org/10.12989/sem.2018.65.5.621
  238. Development of super convergent Euler finite elements for the analysis of sandwich beams with soft core vol.65, pp.6, 2013, https://doi.org/10.12989/sem.2018.65.6.657
  239. A novel four variable refined plate theory for wave propagation in functionally graded material plates vol.27, pp.1, 2018, https://doi.org/10.12989/scs.2018.27.1.109
  240. Geometrically nonlinear analysis of a laminated composite beam vol.66, pp.1, 2013, https://doi.org/10.12989/sem.2018.66.1.027
  241. Improved HSDT accounting for effect of thickness stretching in advanced composite plates vol.66, pp.1, 2013, https://doi.org/10.12989/sem.2018.66.1.061
  242. Vibration and instability analysis of pipes reinforced by SiO2 nanoparticles considering agglomeration effects vol.21, pp.4, 2018, https://doi.org/10.12989/cac.2018.21.4.431
  243. Three dimensional dynamic response of functionally graded nanoplates under a moving load vol.66, pp.2, 2013, https://doi.org/10.12989/sem.2018.66.2.249
  244. A novel shear deformation theory for buckling analysis of single layer graphene sheet based on nonlocal elasticity theory vol.21, pp.4, 2013, https://doi.org/10.12989/sss.2018.21.4.397
  245. Novel quasi-3D and 2D shear deformation theories for bending and free vibration analysis of FGM plates vol.14, pp.6, 2013, https://doi.org/10.12989/gae.2018.14.6.519
  246. Bending of FGM rectangular plates resting on non-uniform elastic foundations in thermal environment using an accurate theory vol.27, pp.3, 2018, https://doi.org/10.12989/scs.2018.27.3.311
  247. Analytical investigation of bending response of FGM plate using a new quasi 3D shear deformation theory: Effect of the micromechanical models vol.66, pp.3, 2018, https://doi.org/10.12989/sem.2018.66.3.317
  248. Free vibration of FGM plates with porosity by a shear deformation theory with four variables vol.66, pp.3, 2013, https://doi.org/10.12989/sem.2018.66.3.353
  249. Free vibration and buckling analysis of orthotropic plates using a new two variable refined plate theory vol.15, pp.1, 2013, https://doi.org/10.12989/gae.2018.15.1.711
  250. Vibration and instability of nanocomposite pipes conveying fluid mixed by nanoparticles resting on viscoelastic foundation vol.21, pp.5, 2018, https://doi.org/10.12989/cac.2018.21.5.569
  251. Mathematical modeling of smart nanoparticles-reinforced concrete foundations: Vibration analysis vol.27, pp.4, 2013, https://doi.org/10.12989/scs.2018.27.4.465
  252. Nonlocal free vibration analysis of a doubly curved piezoelectric nano shell vol.27, pp.4, 2018, https://doi.org/10.12989/scs.2018.27.4.479
  253. Three dimensional finite elements modeling of FGM plate bending using UMAT vol.66, pp.4, 2018, https://doi.org/10.12989/sem.2018.66.4.487
  254. Large deflection analysis of a fiber reinforced composite beam vol.27, pp.5, 2013, https://doi.org/10.12989/scs.2018.27.5.567
  255. A novel four-unknown quasi-3D shear deformation theory for functionally graded plates vol.27, pp.5, 2013, https://doi.org/10.12989/scs.2018.27.5.599
  256. Mechanical buckling analysis of hybrid laminated composite plates under different boundary conditions vol.66, pp.6, 2018, https://doi.org/10.12989/sem.2018.66.6.761
  257. A new quasi-3D higher shear deformation theory for vibration of functionally graded carbon nanotube-reinforced composite beams resting on elastic foundation vol.66, pp.6, 2018, https://doi.org/10.12989/sem.2018.66.6.771
  258. Buckling analysis of new quasi-3D FG nanobeams based on nonlocal strain gradient elasticity theory and variable length scale parameter vol.28, pp.1, 2013, https://doi.org/10.12989/scs.2018.28.1.013
  259. Dynamic stability of nanocomposite Mindlin pipes conveying pulsating fluid flow subjected to magnetic field vol.67, pp.1, 2013, https://doi.org/10.12989/sem.2018.67.1.021
  260. Technical and economical assessment of applying silica nanoparticles for construction of concrete structures vol.22, pp.1, 2018, https://doi.org/10.12989/cac.2018.22.1.117
  261. Forced vibration response in nanocomposite cylindrical shells - Based on strain gradient beam theory vol.28, pp.3, 2013, https://doi.org/10.12989/scs.2018.28.3.381
  262. Single variable shear deformation model for bending analysis of thick beams vol.67, pp.3, 2013, https://doi.org/10.12989/sem.2018.67.3.291
  263. Numerical study for vibration response of concrete beams reinforced by nanoparticles vol.67, pp.3, 2018, https://doi.org/10.12989/sem.2018.67.3.311
  264. Analysis of boundary conditions effects on vibration of nanobeam in a polymeric matrix vol.67, pp.5, 2013, https://doi.org/10.12989/sem.2018.67.5.517
  265. Effect of homogenization models on stress analysis of functionally graded plates vol.67, pp.5, 2018, https://doi.org/10.12989/sem.2018.67.5.527
  266. Dynamic analysis of higher order shear-deformable nanobeams resting on elastic foundation based on nonlocal strain gradient theory vol.6, pp.3, 2018, https://doi.org/10.12989/anr.2018.6.3.279
  267. Seismic analysis of AL2O3 nanoparticles-reinforced concrete plates based on sinusoidal shear deformation theory vol.15, pp.3, 2013, https://doi.org/10.12989/eas.2018.15.3.285
  268. Nonlinear finite element solutions of thermoelastic flexural strength and stress values of temperature dependent graded CNT-reinforced sandwich shallow shell structure vol.67, pp.6, 2018, https://doi.org/10.12989/sem.2018.67.6.565
  269. A novel quasi-3D hyperbolic shear deformation theory for vibration analysis of simply supported functionally graded plates vol.22, pp.3, 2013, https://doi.org/10.12989/sss.2018.22.3.303
  270. Analysis of wave propagation and free vibration of functionally graded porous material beam with a novel four variable refined theory vol.15, pp.4, 2018, https://doi.org/10.12989/eas.2018.15.4.369
  271. An analytical solution for free vibration of functionally graded beam using a simple first-order shear deformation theory vol.27, pp.4, 2013, https://doi.org/10.12989/was.2018.27.4.247
  272. A refined quasi-3D hybrid-type higher order shear deformation theory for bending and Free vibration analysis of advanced composites beams vol.27, pp.4, 2013, https://doi.org/10.12989/was.2018.27.4.269
  273. Size-dependent forced vibration response of embedded micro cylindrical shells reinforced with agglomerated CNTs using strain gradient theory vol.22, pp.5, 2013, https://doi.org/10.12989/sss.2018.22.5.527
  274. Dynamic and bending analysis of carbon nanotube-reinforced composite plates with elastic foundation vol.27, pp.5, 2018, https://doi.org/10.12989/was.2018.27.5.311
  275. Critical buckling loads of carbon nanotube embedded in Kerr's medium vol.6, pp.4, 2013, https://doi.org/10.12989/anr.2018.6.4.339
  276. Axisymmetric thermomechanical analysis of transversely isotropic magneto thermoelastic solid due to time-harmonic sources vol.8, pp.5, 2013, https://doi.org/10.12989/csm.2019.8.5.415
  277. Hygro-thermo-mechanical bending of FG piezoelectric plates using quasi-3D shear and normal deformations theory vol.16, pp.7, 2013, https://doi.org/10.1590/1679-78255396
  278. Three-dimensional vibration analysis of beams with axial functionally graded materials and variable thickness vol.207, pp.None, 2013, https://doi.org/10.1016/j.compstruct.2018.09.029
  279. Small-scale effect on the forced vibration of a nano beam embedded an elastic medium using nonlocal elasticity theory vol.6, pp.1, 2019, https://doi.org/10.12989/aas.2019.6.1.001
  280. Nonlinear vibration of functionally graded nano-tubes using nonlocal strain gradient theory and a two-steps perturbation method vol.69, pp.2, 2013, https://doi.org/10.12989/sem.2019.69.2.205
  281. Dynamic investigation of porous functionally graded beam using a sinusoidal shear deformation theory vol.28, pp.1, 2013, https://doi.org/10.12989/was.2019.28.1.019
  282. Dynamic and wave propagation investigation of FGM plates with porosities using a four variable plate theory vol.28, pp.1, 2013, https://doi.org/10.12989/was.2019.28.1.049
  283. Hygrothermal effects on the behavior of reinforced-concrete beams strengthened by bonded composite laminate plates vol.69, pp.3, 2013, https://doi.org/10.12989/sem.2019.69.3.327
  284. Dynamic analysis of concrete column reinforced with Sio2 nanoparticles subjected to blast load vol.7, pp.1, 2013, https://doi.org/10.12989/acc.2019.7.1.051
  285. Effect of the micromechanical models on the bending of FGM beam using a new hyperbolic shear deformation theory vol.16, pp.2, 2019, https://doi.org/10.12989/eas.2019.16.2.177
  286. Application of the nonlocal strain gradient elasticity on the wave dispersion behaviors of inhomogeneous nanosize beams vol.134, pp.3, 2013, https://doi.org/10.1140/epjp/i2019-12464-x
  287. Vibration response and wave propagation in FG plates resting on elastic foundations using HSDT vol.69, pp.5, 2013, https://doi.org/10.12989/sem.2019.69.5.511
  288. Thermal buckling analysis of SWBNNT on Winkler foundation by non local FSDT vol.7, pp.2, 2013, https://doi.org/10.12989/anr.2019.7.2.089
  289. Vibration analysis of different material distributions of functionally graded microbeam vol.69, pp.6, 2013, https://doi.org/10.12989/sem.2019.69.6.637
  290. Assessing the Effects of Porosity on the Bending, Buckling, and Vibrations of Functionally Graded Beams Resting on an Elastic Foundation by Using a New Refined Quasi-3D Theory vol.55, pp.2, 2013, https://doi.org/10.1007/s11029-019-09805-0
  291. A novel porosity-dependent homogenization procedure for wave dispersion in nonlocal strain gradient inhomogeneous nanobeams vol.134, pp.5, 2019, https://doi.org/10.1140/epjp/i2019-12547-8
  292. A simple HSDT for bending, buckling and dynamic behavior of laminated composite plates vol.70, pp.3, 2019, https://doi.org/10.12989/sem.2019.70.3.325
  293. Dynamic analysis of nanosize FG rectangular plates based on simple nonlocal quasi 3D HSDT vol.7, pp.3, 2013, https://doi.org/10.12989/anr.2019.7.3.191
  294. Influence of shear preload on wave propagation in small-scale plates with nanofibers vol.70, pp.4, 2013, https://doi.org/10.12989/sem.2019.70.4.407
  295. The effect of parameters of visco-Pasternak foundation on the bending and vibration properties of a thick FG plate vol.18, pp.2, 2013, https://doi.org/10.12989/gae.2019.18.2.161
  296. A simple quasi-3D HSDT for the dynamics analysis of FG thick plate on elastic foundation vol.31, pp.5, 2013, https://doi.org/10.12989/scs.2019.31.5.503
  297. Stability analysis of embedded graphene platelets reinforced composite plates in thermal environment vol.134, pp.7, 2019, https://doi.org/10.1140/epjp/i2019-12581-6
  298. Regenerative Bayesian detection of foundation constant with variable scale gradient theory vol.20, pp.8, 2013, https://doi.org/10.1631/jzus.a1800467
  299. Dynamic symmetrical mode III interface crack issues between unalike materials vol.8, pp.3, 2019, https://doi.org/10.1680/jemmr.16.00064
  300. Vibration analysis of nonlocal porous nanobeams made of functionally graded material vol.7, pp.5, 2019, https://doi.org/10.12989/anr.2019.7.5.351
  301. Influences of porosity on dynamic response of FG plates resting on Winkler/Pasternak/Kerr foundation using quasi 3D HSDT vol.24, pp.4, 2013, https://doi.org/10.12989/cac.2019.24.4.347
  302. The nano scale bending and dynamic properties of isolated protein microtubules based on modified strain gradient theory vol.7, pp.6, 2013, https://doi.org/10.12989/anr.2019.7.6.443
  303. A new higher-order shear and normal deformation theory for the buckling analysis of new type of FGM sandwich plates vol.72, pp.5, 2019, https://doi.org/10.12989/sem.2019.72.5.653
  304. On the modeling of dynamic behavior of composite plates using a simple nth-HSDT vol.29, pp.6, 2013, https://doi.org/10.12989/was.2019.29.6.371
  305. Hygrothermal postbuckling analysis of smart multiscale piezoelectric composite shells vol.135, pp.2, 2013, https://doi.org/10.1140/epjp/s13360-020-00137-w
  306. A simple nth-order shear deformation theory for thermomechanical bending analysis of different configurations of FG sandwich plates vol.25, pp.2, 2020, https://doi.org/10.12989/sss.2020.25.2.197
  307. Buckling response of functionally graded nanoplates under combined thermal and mechanical loadings vol.22, pp.4, 2020, https://doi.org/10.1007/s11051-020-04815-9
  308. A refined HSDT for bending and dynamic analysis of FGM plates vol.74, pp.1, 2020, https://doi.org/10.12989/sem.2020.74.1.105
  309. Thermal flexural analysis of anti-symmetric cross-ply laminated plates using a four variable refined theory vol.25, pp.4, 2013, https://doi.org/10.12989/sss.2020.25.4.409
  310. Transversely isotropic thin circular plate with multi-dual-phase lag heat transfer vol.35, pp.3, 2013, https://doi.org/10.12989/scs.2020.35.3.343
  311. Mixture rule for studding the environmental pollution reduction in concrete structures containing nanoparticles vol.9, pp.3, 2013, https://doi.org/10.12989/csm.2020.9.3.281
  312. Vibration and thermal buckling analyses of three-layered centrosymmetric piezoelectric microplates based on the modified consistent couple stress theory vol.26, pp.15, 2013, https://doi.org/10.1177/1077546320924273
  313. Effect of thermal laser pulse in transversely isotropic Magneto-thermoelastic solid due to Time-Harmonic sources vol.9, pp.4, 2013, https://doi.org/10.12989/csm.2020.9.4.343
  314. Optimization of flexure stiffness of FGM beams via artificial neural networks by mixed FEM vol.75, pp.5, 2020, https://doi.org/10.12989/sem.2020.75.5.633
  315. Thermo-mechanical behavior of porous FG plate resting on the Winkler-Pasternak foundation vol.9, pp.6, 2013, https://doi.org/10.12989/csm.2020.9.6.499
  316. Buckling treatment of piezoelectric functionally graded graphene platelets micro plates vol.38, pp.3, 2021, https://doi.org/10.12989/scs.2021.38.3.337
  317. Thermodynamic behavior of functionally graded sandwich plates resting on different elastic foundation and with various boundary conditions vol.23, pp.3, 2013, https://doi.org/10.1177/1099636219851281
  318. Buckling and free vibration characteristics of embedded inhomogeneous functionally graded elliptical plate in hygrothermal environment vol.235, pp.5, 2013, https://doi.org/10.1177/1464420720986899
  319. Modeling of memory-dependent derivative in a functionally graded plate vol.31, pp.4, 2013, https://doi.org/10.1080/17455030.2019.1606962
  320. Bending and buckling behaviors of heterogeneous temperature-dependent micro annular/circular porous sandwich plates integrated by FGPEM nano-Composite layers vol.23, pp.8, 2021, https://doi.org/10.1177/1099636220955027