[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.12989/scs.2016.20.2.227

A nonlocal zeroth-order shear deformation theory for free vibration of functionally graded nanoscale plates resting on elastic foundation

Bounouara, Fatima (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department)
Benrahou, Kouider Halim (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department)
Belkorissat, Ismahene (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department)
Tounsi, Abdelouahed (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department)

Publication Information

Steel and Composite Structures / v.20, no.2, 2016 , pp. 227-249 More about this Journal

Abstract

The objective of this work is to present a zeroth-order shear deformation theory for free vibration analysis of functionally graded (FG) nanoscale plates resting on elastic foundation. The model takes into consideration the influences of small scale and the parabolic variation of the transverse shear strains across the thickness of the nanoscale plate and thus, it avoids the employ use of shear correction factors. Also, in this present theory, the effect of transverse shear deformation is included in the axial displacements by using the shear forces instead of rotational displacements as in available high order plate theories. The material properties are supposed to be graded only in the thickness direction and the effective properties for the FG nanoscale plate are calculated by considering Mori-Tanaka homogenization scheme. The equations of motion are obtained using the nonlocal differential constitutive expressions of Eringen in conjunction with the zeroth-order shear deformation theory via Hamilton's principle. Numerical results for vibration of FG nanoscale plates resting on elastic foundations are presented and compared with the existing solutions. The influences of small scale, shear deformation, gradient index, Winkler modulus parameter and Pasternak shear modulus parameter on the vibration responses of the FG nanoscale plates are investigated.

Keywords

nonlocal elasticity theory; nanoscale-plates; free vibration; plate theory; functionally graded materials;

Citations & Related Records

Times Cited By KSCI : 16 (Citation Analysis)

Reference
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5	Elyas Shivanian. (2017) Applied Physics A Influence of size effect on flapwise vibration behavior of rotary microbeam and its analysis through spectral meshless radial point interpolation / 123 (5)
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9	Farzad Ebrahimi. (2016) Applied Physics A Wave propagation analysis of quasi-3D FG nanobeams in thermal environment based on nonlocal strain gradient theory / 122 (9)
6	Lazreg Hadji. (2016) Wind and Structures Bending analysis of FGM plates using a sinusoidal shear deformation theory / 23 (6) , 543
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3	Ali Jamalpoor. (2017) Applied Physics A Vibration analysis of bonded double-FGM viscoelastic nanoplate systems based on a modified strain gradient theory incorporating surface effects / 123 (3)
5	M. Arefi. (2017) Applied Physics A Application of nonlocal strain gradient theory and various shear deformation theories to nonlinear vibration analysis of sandwich nano-beam with FG-CNTRCs face-sheets in electro-thermal environment / 123 (5)
15	Farzad Ebrahimi. (2017) Journal of Intelligent Material Systems and Structures Electro-magnetic effects on nonlocal dynamic behavior of embedded piezoelectric nanoscale beams / 28 (15) , 2007
11	Farzad Ebrahimi. (2016) Applied Physics A Wave dispersion characteristics of axially loaded magneto-electro-elastic nanobeams / 122 (11)
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2	Abdelmoumen Anis Bousahla. (2016) Structural Engineering and Mechanics On thermal stability of plates with functionally graded coefficient of thermal expansion / 60 (2) , 313
1	O. Rahmani. (2017) Applied Physics A Buckling and free vibration of shallow curved micro/nano-beam based on strain gradient theory under thermal loading with temperature-dependent properties / 123 (1)
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3	Amlan Paul. (2016) Engineering Science and Technology, an International Journal Non-linear thermal post-buckling analysis of FGM Timoshenko beam under non-uniform temperature rise across thickness / 19 (3) , 1608
2	Farzad Ebrahimi. (2016) International Journal of Smart and Nano Materials Electromechanical buckling behavior of smart piezoelectrically actuated higher-order size-dependent graded nanoscale beams in thermal environment / 7 (2) , 69
12	Majid Ghadiri. (2016) Applied Physics A Thermo-mechanical analysis of FG nanobeam with attached tip mass: an exact solution / 122 (12)
12	Farzad Ebrahimi. (2017) The European Physical Journal Plus Dynamic modeling of porous heterogeneous micro/nanobeams / 132 (12)
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3	Salima Abdelbari. (2016) Wind and Structures An efficient and simple shear deformation theory for free vibration of functionally graded rectangular plates on Winkler-Pasternak elastic foundations / 22 (3) , 329
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6	D.P. Zhang. (2017) Brazilian Journal of Physics Effect of Longitudinal Magnetic Field on Vibration Characteristics of Single-Walled Carbon Nanotubes in a Viscoelastic Medium / 47 (6) , 640
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9	S. Sadeghzadeh. (2016) Applied Physics A Effects of physical boundary conditions on the transverse vibration of single-layer graphene sheets / 122 (9)
2	O. Rahmani. (2018) The European Physical Journal Plus Dynamic response of a single-walled carbon nanotube under a moving harmonic load by considering modified nonlocal elasticity theory / 133 (2)
6	Seref D. Akbas. (2016) Smart Structures and Systems Forced vibration analysis of viscoelastic nanobeams embedded in an elastic medium / 18 (6) , 1125
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2	Mohammad Arefi. (2017) Acta Mechanica Nonlocal electro-thermo-mechanical analysis of a sandwich nanoplate containing a Kelvin–Voigt viscoelastic nanoplate and two piezoelectric layers / 228 (2) , 475
1435-5663	(2019) Engineering with Computers On modeling of wave propagation in a thermally affected GNP-reinforced imperfect nanocomposite shell / (1435-5663)
1537-6532	(2018) Mechanics of Advanced Materials and Structures Finite element static and dynamic analysis of axially functionally graded nonuniform small-scale beams based on nonlocal strain gradient theory / (1537-6532) , 1
1537-6532	(2020) Mechanics of Advanced Materials and Structures Mechanical analysis of functionally graded graphene oxide-reinforced composite beams based on the first-order shear deformation theory / (1537-6532) , 1
1548-0046	(2018) Particulate Science and Technology Fracture problems, vibration, buckling, and bending analyses of functionally graded materials: A state-of-the-art review including smart FGMS / (1548-0046) , 1
1661-9897	(2018) Journal of Nano Research Buckling Analysis of Orthotropic Nanoscale Plates Resting on Elastic Foundations / 55 (1661-9897) , 42
1619-6937	(2018) Acta Mechanica On the shear buckling of porous nanoplates using a new size-dependent quasi-3D shear deformation theory / (1619-6937)
9	(2018) Journal of Zhejiang University-SCIENCE A 基于Jeeves模式搜索理论地基参数的更新Bayes探测法 / 19 (9) , 691
24	(2018) Modern Physics Letters B Effect of van der Waals force on wave propagation in viscoelastic double-walled carbon nanotubes / 32 (24) , 1850291
8	(2018) Microsystem Technologies Axial magnetic field effects on dynamic characteristics of embedded multiphase nanocrystalline nanobeams / 24 (8) , 3521
11	(2018) Journal of Intelligent Material Systems and Structures Vibration and buckling analysis of a rotary functionally graded piezomagnetic nanoshell embedded in viscoelastic media / 29 (11) , 2344
1432-1858	(2018) Microsystem Technologies Post-buckling analysis of piezo-magnetic nanobeams with geometrical imperfection and different piezoelectric contents / (1432-1858)
11	(2018) Coatings Non-Local Buckling Analysis of Functionally Graded Nanoporous Metal Foam Nanoplates / 8 (11) , 389
9	(2018) The European Physical Journal Plus Dynamic analysis of graded small-scale shells with porosity distributions under transverse dynamic loads / 133 (9)
1661-9897	(2018) Journal of Nano Research Vibration Analysis of Nano Beam Using Differential Transform Method Including Thermal Effect / 54 (1661-9897) , 1
9	(2018) Applied Mathematics and Mechanics The effect of initial geometric imperfection on the nonlinear resonance of functionally graded carbon nanotube-reinforced composite rectangular plates / 39 (9) , 1219
8	(2018) Journal of the Brazilian Society of Mechanical Sciences and Engineering Forced vibration analysis of cracked nanobeams / 40 (8)
1537-6532	(2018) Mechanics of Advanced Materials and Structures Size-dependent vibration analysis of a three-layered porous rectangular nano plate with piezo-electromagnetic face sheets subjected to pre loads based on SSDT / (1537-6532) , 1
7	(2018) Materials Research Express An analytical study on the size dependent longitudinal vibration analysis of thick nanorods / 5 (7) , 075016
1530-7972	(2018) Journal of Sandwich Structures & Materials Smart electrical and magnetic stability analysis of exponentially graded shear deformable three-layered nanoplate based on nonlocal piezo-magneto-elasticity theory / (1530-7972) , 109963621876066
5	(2018) The European Physical Journal Plus Free vibration analysis of a piezoelectric curved sandwich nano-beam with FG-CNTRCs face-sheets based on various high-order shear deformation and nonlocal elasticity theories / 133 (5)
1	(2019) The European Physical Journal Plus Nonlinear vibration analysis of different types of functionally graded beams using nonlocal strain gradient theory and a two-step perturbation method / 134 (1)
1539-7742	(2019) Mechanics Based Design of Structures and Machines A novel approach for nonlinear bending response of macro- and nanoplates with irregular variable thickness under nonuniform loading in thermal environment / (1539-7742) , 1
2008-6695	(2019) International Journal of Advanced Structural Engineering Modal participation of fixed–fixed single-walled carbon nanotube with vacancies / (2008-6695)
3	(2016) Advances in materials research : AMR An analytical approach for buckling of functionally graded plates / 5 (3) , 141
1530-7972	(2018) Journal of Sandwich Structures & Materials Dynamic stability analysis of microcomposite annular sandwich plate with carbon nanotube reinforced composite facesheets based on modified strain gradient theory / (1530-7972) , 109963621878277
1661-9897	(2018) Journal of Nano Research Thermal and Small-Scale Effects on Vibration of Embedded Armchair Single-Walled Carbon Nanotubes / 51 (1661-9897) , 24
5	(2016) Steel & Composite structures : an international journal A new five unknown quasi-3D type HSDT for thermomechanical bending analysis of FGM sandwich plates / 22 (5) , 975
1	(2016) Geomechanics & engineering A novel quasi-3D hyperbolic shear deformation theory for functionally graded thick rectangular plates on elastic foundation / 12 (1) , 9
2	(2017) Smart structures and systems A nonlocal quasi-3D theory for bending and free flexural vibration behaviors of functionally graded nanobeams / 19 (2) , 115
1	(2017) Advances in materials research : AMR Bending and stability analysis of size-dependent compositionally graded Timoshenko nanobeams with porosities / 6 (1) , 45
3	(2016) Steel & Composite structures : an international journal Non-linear study of mode II delamination fracture in functionally graded beams / 23 (3) , 263
3	(2016) Steel & Composite structures : an international journal A non-polynomial four variable refined plate theory for free vibration of functionally graded thick rectangular plates on elastic foundation / 23 (3) , 317
1	(2016) Advances in materials research : AMR Static deflection and dynamic behavior of higher-order hyperbolic shear deformable compositionally graded beams / 6 (1) , 13
1	(2017) Advances in nano research Buckling temperature of a single-walled boron nitride nanotubes using a novel nonlocal beam model / 5 (1) , 1
3	(2016) Smart structures and systems Thermal buckling analysis of cross-ply laminated plates using a simplified HSDT / 19 (3) , 289
2	(2016) Structural engineering and mechanics : An international journal Wave propagation in functionally graded beams using various higher-order shear deformation beams theories / 62 (2) , 143
4	(2017) Smart structures and systems Analysis of functionally graded plates using a sinusoidal shear deformation theory / 19 (4) , 441
4	(2017) Structural engineering and mechanics : An international journal A novel and simple HSDT for thermal buckling response of functionally graded sandwich plates / 62 (4) , 401
6	(2017) Structural engineering and mechanics : An international journal A nonlocal zeroth-order shear deformation theory for nonlinear postbuckling of nanobeams / 62 (6) , 695
6	(2016) Smart structures and systems Free vibration analysis of embedded nanosize FG plates using a new nonlocal trigonometric shear deformation theory / 19 (6) , 601
5	(2016) Steel & Composite structures : an international journal Bending behavior of SWCNT reinforced composite plates / 24 (5) , 537
5	(2017) Steel & Composite structures : an international journal A new shear deformation plate theory with stretching effect for buckling analysis of functionally graded sandwich plates / 24 (5) , 569
5	(2017) Steel & Composite structures : an international journal Free vibrations of laminated composite plates using a novel four variable refined plate theory / 24 (5) , 603
3	(2016) Structural engineering and mechanics : An international journal Hygro-thermo-mechanical vibration and buckling of exponentially graded nanoplates resting on elastic foundations via nonlocal elasticity theory / 63 (3) , 401
2	(2016) Computers & concrete Dynamic bending response of SWCNT reinforced composite plates subjected to hygro-thermo-mechanical loading / 20 (2) , 229
4	(2017) Structural engineering and mechanics : An international journal An original single variable shear deformation theory for buckling analysis of thick isotropic plates / 63 (4) , 439
5	(2016) Structural engineering and mechanics : An international journal A simple analytical approach for thermal buckling of thick functionally graded sandwich plates / 63 (5) , 585
3	(2016) Earthquakes and structures An efficient shear deformation theory for wave propagation in functionally graded material beams with porosities / 13 (3) , 255
3	(2016) Geomechanics & engineering A four variable refined nth-order shear deformation theory for mechanical and thermal buckling analysis of functionally graded plates / 13 (3) , 385
3	(2016) Smart structures and systems Vibration analysis of nonlocal advanced nanobeams in hygro-thermal environment using a new two-unknown trigonometric shear deformation beam theory / 20 (3) , 369
2	(2016) Steel & Composite structures : an international journal A new and simple HSDT for thermal stability analysis of FG sandwich plates / 25 (2) , 157
2	(2016) Structural engineering and mechanics : An international journal A novel simple two-unknown hyperbolic shear deformation theory for functionally graded beams / 64 (2) , 145
4	(2017) Smart structures and systems Free vibration of functionally graded plates resting on elastic foundations based on quasi-3D hybrid-type higher order shear deformation theory / 20 (4) , 509
4	(2016) Wind & structures An analytical solution for bending and vibration responses of functionally graded beams with porosities / 25 (4) , 329
3	(2016) Steel & Composite structures : an international journal An efficient and simple four variable refined plate theory for buckling analysis of functionally graded plates / 25 (3) , 257
4	(2016) Structural engineering and mechanics : An international journal A new nonlocal trigonometric shear deformation theory for thermal buckling analysis of embedded nanosize FG plates / 64 (4) , 391
3	(2017) Steel & Composite structures : an international journal Effects of triaxial magnetic field on the anisotropic nanoplates / 25 (3) , 361
4	(2017) Steel & Composite structures : an international journal A novel and simple higher order shear deformation theory for stability and vibration of functionally graded sandwich plate / 25 (4) , 389
5	(2016) Earthquakes and structures A simple quasi-3D sinusoidal shear deformation theory with stretching effect for carbon nanotube-reinforced composite beams resting on elastic foundation / 13 (5) , 509
4	(2017) Structural engineering and mechanics : An international journal Vibration analysis of micro composite thin beam based on modified couple stress / 64 (4) , 403
5	(2017) Smart structures and systems Coupled effects of electrical polarization-strain gradient on vibration behavior of double-layered flexoelectric nanoplates / 20 (5) , 573
6	(2016) Structural engineering and mechanics : An international journal A new quasi-3D HSDT for buckling and vibration of FG plate / 64 (6) , 737
6	(2016) Smart structures and systems Nonlocal strain gradient-based vibration analysis of embedded curved porous piezoelectric nano-beams in thermal environment / 20 (6) , 709
6	(2016) Steel & Composite structures : an international journal An efficient hyperbolic shear deformation theory for bending, buckling and free vibration of FGM sandwich plates with various boundary conditions / 25 (6) , 693
6	(2016) Steel & Composite structures : an international journal A new simple three-unknown shear deformation theory for bending analysis of FG plates resting on elastic foundations / 25 (6) , 717
6	(2016) Steel & Composite structures : an international journal An original HSDT for free vibration analysis of functionally graded plates / 25 (6) , 735
1	(2018) Structural engineering and mechanics : An international journal The role of micromechanical models in the mechanical response of elastic foundation FG sandwich thick beams / 68 (1) , 53
1	(2018) Structural engineering and mechanics : An international journal A nonlocal strain gradient theory for nonlinear free and forced vibration of embedded thick FG double layered nanoplates / 68 (1) , 103
5	(2016) Structural engineering and mechanics : An international journal Post-buckling analysis of shear-deformable composite beams using a novel simple two-unknown beam theory / 65 (5) , 621
1	(2016) Advances in nano research Forced vibration analysis of cracked functionally graded microbeams / 6 (1) , 39
1	(2016) Advances in nano research Vibration analysis of carbon nanotubes with multiple cracks in thermal environment / 6 (1) , 57
6	(2016) Steel & Composite structures : an international journal Buckling analysis of FGM Euler-Bernoulli nano-beams with 3D-varying properties based on consistent couple-stress theory / 26 (6) , 663
6	(2018) Structural engineering and mechanics : An international journal Wave dispersion characteristics of nonlocal strain gradient double-layered graphene sheets in hygro-thermal environments / 65 (6) , 645
6	(2016) Structural engineering and mechanics : An international journal Development of super convergent Euler finite elements for the analysis of sandwich beams with soft core / 65 (6) , 657
1	(2018) Steel & Composite structures : an international journal A novel four variable refined plate theory for wave propagation in functionally graded material plates / 27 (1) , 109
1	(2016) Structural engineering and mechanics : An international journal Geometrically nonlinear analysis of a laminated composite beam / 66 (1) , 27
1	(2016) Structural engineering and mechanics : An international journal Improved HSDT accounting for effect of thickness stretching in advanced composite plates / 66 (1) , 61
4	(2018) Computers & concrete Vibration and instability analysis of pipes reinforced by SiO<SUB>2</SUB> nanoparticles considering agglomeration effects / 21 (4) , 431
2	(2016) Structural engineering and mechanics : An international journal Three dimensional dynamic response of functionally graded nanoplates under a moving load / 66 (2) , 249
4	(2016) Smart structures and systems A novel shear deformation theory for buckling analysis of single layer graphene sheet based on nonlocal elasticity theory / 21 (4) , 397
3	(2016) Structural engineering and mechanics : An international journal Free vibration of FGM plates with porosity by a shear deformation theory with four variables / 66 (3) , 353
6	(2016) Geomechanics & engineering Novel quasi-3D and 2D shear deformation theories for bending and free vibration analysis of FGM plates / 14 (6) , 519
3	(2018) Steel & Composite structures : an international journal Bending of FGM rectangular plates resting on non-uniform elastic foundations in thermal environment using an accurate theory / 27 (3) , 311
3	(2018) Steel & Composite structures : an international journal Size dependent bending analysis of micro/nano sandwich structures based on a nonlocal high order theory / 27 (3) , 371
1	(2016) Geomechanics & engineering Free vibration and buckling analysis of orthotropic plates using a new two variable refined plate theory / 15 (1) , 711
5	(2018) Computers & concrete Vibration and instability of nanocomposite pipes conveying fluid mixed by nanoparticles resting on viscoelastic foundation / 21 (5) , 569
4	(2016) Steel & Composite structures : an international journal Mathematical modeling of smart nanoparticles-reinforced concrete foundations: Vibration analysis / 27 (4) , 465
4	(2018) Structural engineering and mechanics : An international journal Three dimensional finite elements modeling of FGM plate bending using UMAT / 66 (4) , 487
5	(2016) Steel & Composite structures : an international journal Large deflection analysis of a fiber reinforced composite beam / 27 (5) , 567
5	(2016) Steel & Composite structures : an international journal A novel four-unknown quasi-3D shear deformation theory for functionally graded plates / 27 (5) , 599
2	(2016) Advances in nano research A new nonlocal HSDT for analysis of stability of single layer graphene sheet / 6 (2) , 147
6	(2018) Structural engineering and mechanics : An international journal Mechanical buckling analysis of hybrid laminated composite plates under different boundary conditions / 66 (6) , 761
6	(2018) Structural engineering and mechanics : An international journal A new quasi-3D higher shear deformation theory for vibration of functionally graded carbon nanotube-reinforced composite beams resting on elastic foundation / 66 (6) , 771
1	(2016) Steel & Composite structures : an international journal Buckling analysis of new quasi-3D FG nanobeams based on nonlocal strain gradient elasticity theory and variable length scale parameter / 28 (1) , 13
1	(2016) Structural engineering and mechanics : An international journal Dynamic stability of nanocomposite Mindlin pipes conveying pulsating fluid flow subjected to magnetic field / 67 (1) , 21
1	(2018) Computers & concrete Technical and economical assessment of applying silica nanoparticles for construction of concrete structures / 22 (1) , 117
1	(2016) Smart structures and systems Size-dependent free vibration and dynamic analyses of a sandwich microbeam based on higher-order sinusoidal shear deformation theory and strain gradient theory / 22 (1) , 27
3	(2016) Steel & Composite structures : an international journal Forced vibration response in nanocomposite cylindrical shells - Based on strain gradient beam theory / 28 (3) , 381
3	(2016) Structural engineering and mechanics : An international journal Single variable shear deformation model for bending analysis of thick beams / 67 (3) , 291
3	(2018) Structural engineering and mechanics : An international journal Numerical study for vibration response of concrete beams reinforced by nanoparticles / 67 (3) , 311
5	(2016) Structural engineering and mechanics : An international journal Analysis of boundary conditions effects on vibration of nanobeam in a polymeric matrix / 67 (5) , 517
5	(2018) Structural engineering and mechanics : An international journal Effect of homogenization models on stress analysis of functionally graded plates / 67 (5) , 527
3	(2018) Advances in nano research Dynamic analysis of higher order shear-deformable nanobeams resting on elastic foundation based on nonlocal strain gradient theory / 6 (3) , 279
3	(2016) Earthquakes and structures Seismic analysis of AL<SUB>2</SUB>O<SUB>3</SUB> nanoparticles-reinforced concrete plates based on sinusoidal shear deformation theory / 15 (3) , 285
6	(2018) Steel & Composite structures : an international journal Free axial vibration analysis of axially functionally graded thick nanorods using nonlocal Bishop's theory / 28 (6) , 749
4	(2016) Wind & structures A refined quasi-3D hybrid-type higher order shear deformation theory for bending and Free vibration analysis of advanced composites beams / 27 (4) , 269
3	(2016) Smart structures and systems A novel quasi-3D hyperbolic shear deformation theory for vibration analysis of simply supported functionally graded plates / 22 (3) , 303
4	(2018) Earthquakes and structures Analysis of wave propagation and free vibration of functionally graded porous material beam with a novel four variable refined theory / 15 (4) , 369
4	(2016) Wind & structures An analytical solution for free vibration of functionally graded beam using a simple first-order shear deformation theory / 27 (4) , 247
6	(2016) Advances in aircraft and spacecraft science Surface effects on nonlinear vibration and buckling analysis of embedded FG nanoplates via refined HOSDPT in hygrothermal environment considering physical neutral surface position / 5 (6) , 691
5	(2016) Smart structures and systems Size-dependent forced vibration response of embedded micro cylindrical shells reinforced with agglomerated CNTs using strain gradient theory / 22 (5) , 527
5	(2018) Wind & structures Dynamic and bending analysis of carbon nanotube-reinforced composite plates with elastic foundation / 27 (5) , 311
4	(2016) Advances in nano research Critical buckling loads of carbon nanotube embedded in Kerr's medium / 6 (4) , 339
1	(2019) Advances in aircraft and spacecraft science Small-scale effect on the forced vibration of a nano beam embedded an elastic medium using nonlocal elasticity theory / 6 (1) , 1
2	(2016) Structural engineering and mechanics : An international journal Nonlinear vibration of functionally graded nano-tubes using nonlocal strain gradient theory and a two-steps perturbation method / 69 (2) , 205
1	(2016) Wind & structures Dynamic investigation of porous functionally graded beam using a sinusoidal shear deformation theory / 28 (1) , 19
1	(2016) Wind & structures Dynamic and wave propagation investigation of FGM plates with porosities using a four variable plate theory / 28 (1) , 49
3	(2019) Structural engineering and mechanics : An international journal A novel refined shear deformation theory for the buckling analysis of thick isotropic plates / 69 (3) , 335
1	(2016) Advances in concrete construction Dynamic analysis of concrete column reinforced with Sio<SUB>2</SUB> nanoparticles subjected to blast load / 7 (1) , 51
2	(2019) Earthquakes and structures Effect of the micromechanical models on the bending of FGM beam using a new hyperbolic shear deformation theory / 16 (2) , 177
2	(2016) Smart structures and systems Application of nonlocal elasticity theory on the wave propagation of flexoelectric functionally graded (FG) timoshenko nano-beams considering surface effects and residual surface stress / 23 (2) , 141
5	(2016) Structural engineering and mechanics : An international journal On exact wave propagation analysis of triclinic material using three-dimensional bi-Helmholtz gradient plate model / 69 (5) , 487
5	(2016) Structural engineering and mechanics : An international journal Vibration response and wave propagation in FG plates resting on elastic foundations using HSDT / 69 (5) , 511
2	(2016) Advances in nano research Thermal buckling analysis of SWBNNT on Winkler foundation by non local FSDT / 7 (2) , 89
2	(2016) Advances in nano research Free vibration of an annular sandwich plate with CNTRC facesheets and FG porous cores using Ritz method / 7 (2) , 109
6	(2016) Structural engineering and mechanics : An international journal Vibration analysis of different material distributions of functionally graded microbeam / 69 (6) , 637
3	(2016) Smart structures and systems Nonlocal strain gradient model for thermal stability of FG nanoplates integrated with piezoelectric layers / 23 (3) , 215
None	(2016) Journal of nano research Static and Dynamic Behavior of Nanotubes-Reinforced Sandwich Plates Using (FSDT) / 57 (None) , 117
None	(2016) Journal of nano research Postbuckling of Curved Carbon Nanotubes Using Energy Equivalent Model / 57 (None) , 136
None	(2016) Journal of nano research Participation Factor and Vibration of Carbon Nanotube with Vacancies / 57 (None) , 158
None	(2016) Journal of nano research A New Hyperbolic Two-Unknown Beam Model for Bending and Buckling Analysis of a Nonlocal Strain Gradient Nanobeams / 57 (None) , 175
3	(2019) Structural engineering and mechanics : An international journal A simple HSDT for bending, buckling and dynamic behavior of laminated composite plates / 70 (3) , 325
1	(2019) Structural engineering and mechanics : An international journal Wave propagation of functionally graded anisotropic nanoplates resting on Winkler-Pasternak foundation / 70 (1) , 55
1	(2019) Structural engineering and mechanics : An international journal Buckling behavior of rectangular plates under uniaxial and biaxial compression / 70 (1) , 113
5	(2016) European physical journal Plus Dynamic response of metal foam FG porous cylindrical micro-shells due to moving loads with strain gradient size-dependency / 134 (5) , 214
3	(2016) Advances in nano research Dynamic analysis of nanosize FG rectangular plates based on simple nonlocal quasi 3D HSDT / 7 (3) , 191
5	(2016) Earthquakes and structures Effect of distribution shape of the porosity on the interfacial stresses of the FGM beam strengthened with FRP plate / 16 (5) , 601
4	(2016) Structural engineering and mechanics : An international journal Influence of shear preload on wave propagation in small-scale plates with nanofibers / 70 (4) , 407
None	(2016) Journal of nano research A Novel Refined Plate Theory for Free Vibration Analyses of Single-Layered Graphene Sheets Lying on Winkler-Pasternak Elastic Foundations / 58 (None) , 151
2	(2016) Geomechanics & engineering The effect of parameters of visco-Pasternak foundation on the bending and vibration properties of a thick FG plate / 18 (2) , 161
5	(2016) Steel & Composite structures : an international journal A simple quasi-3D HSDT for the dynamics analysis of FG thick plate on elastic foundation / 31 (5) , 503
5	(2019) Structural engineering and mechanics : An international journal Numerical analysis for free vibration of hybrid laminated composite plates for different boundary conditions / 70 (5) , 535
3	(2016) Coupled systems mechanics Nonlocal strain gradient thermal vibration analysis of double-coupled metal foam plate system with uniform and non-uniform porosities / 8 (3) , 247
2	(2016) Structural monitoring and maintenance Finite element formulation and vibration of nonlocal refined metal foam beams with symmetric and non-symmetric porosities / 6 (2) , 147
6	(2019) Wind & structures Conformable solution of fractional vibration problem of plate subjected to in-plane loads / 28 (6) , 347
7	(2019) Microsystem technologies : sensors, actuators, systems integration Chaotic dynamics of a non-autonomous nonlinear system for a smart composite shell subjected to the hygro-thermal environment / 25 (7) , 2587
7	(2019) European physical journal Plus Stability analysis of embedded graphene platelets reinforced composite plates in thermal environment / 134 (7) , 349
16	(2016) Proceedings of the Institution of Mechanical Engineers. Part C : Journal of mechanical engineering science Vibration characteristics of zigzag and chiral functionally graded material rotating carbon nanotubes sandwich with ring supports / 233 (16) , 5763
9	(2019) Materials research express Elastic guided waves in fully-clamped functionally graded carbon nanotube-reinforced composite plates / 6 (9) , 0950a9
3	(2016) Advances in materials research : AMR Analysis of static and dynamic characteristics of strain gradient shell structures made of porous nano-crystalline materials / 8 (3) , 179
3	(2019) Advances in materials research : AMR Analyzing large-amplitude vibration of nonlocal beams made of different piezo-electric materials in thermal environment / 8 (3) , 237
5	(2019) Advances in nano research Vibration analysis of nonlocal porous nanobeams made of functionally graded material / 7 (5) , 351
1	(2016) Structural engineering and mechanics : An international journal Frequency response of initially deflected nanotubes conveying fluid via a nonlinear NSGT model / 72 (1) , 71
4	(2016) Computers & concrete Influences of porosity on dynamic response of FG plates resting on Winkler/Pasternak/Kerr foundation using quasi 3D HSDT / 24 (4) , 347
None	(2016) Journal of nano research A Non-Linear Spring Model for Predicting Modal Behavior of Oscillators Built from Double Walled Carbon Nanotubes / 60 (None) , 21
6	(2016) Advances in nano research The nano scale bending and dynamic properties of isolated protein microtubules based on modified strain gradient theory / 7 (6) , 443
5	(2016) Earthquakes and structures Effect of nonlinear elastic foundations on dynamic behavior of FG plates using four-unknown plate theory / 17 (5) , 447
6	(2016) Steel & Composite structures : an international journal Investigation of thermal buckling properties of ceramic-metal FGM sandwich plates using 2D integral plate model / 33 (6) , 805
12	(2016) European physical journal Plus Dynamic modeling of a multi-scale sandwich composite panel containing flexible core and MR smart layer / 134 (12) , 622
5	(2016) Steel & Composite structures : an international journal Wave dispersion properties in imperfect sigmoid plates using various HSDTs / 33 (5) , 699
5	(2019) Structural engineering and mechanics : An international journal A new higher-order shear and normal deformation theory for the buckling analysis of new type of FGM sandwich plates / 72 (5) , 653
6	(2016) Wind & structures On the modeling of dynamic behavior of composite plates using a simple nth-HSDT / 29 (6) , 371
1	(2016) Journal of the Brazilian Society of Mechanical Sciences and Engineering Finite element forced vibration analysis of refined shear deformable nanocomposite graphene platelet-reinforced beams / 42 (1) , 33
2	(2016) Structural engineering and mechanics : An international journal Buckling of carbon nanotube reinforced composite plates supported by Kerr foundation using Hamilton's energy principle / 73 (2) , 209
2	(2016) European physical journal Plus Hygrothermal postbuckling analysis of smart multiscale piezoelectric composite shells / 135 (2) , 242
None	(2016) Journal of nano research Effect of Microstructure and Surface Energy on the Static and Dynamic Characteristics of FG Timoshenko Nanobeam Embedded in an Elastic Medium / 61 (None) , 97
2	(2016) Advances in nano research Mechanical buckling of FG-CNTs reinforced composite plate with parabolic distribution using Hamilton's energy principle / 8 (2) , 135
2	(2016) Advances in nano research Dynamic characteristics of multi-phase crystalline porous shells with using strain gradient elasticity / 8 (2) , 157
3	(2020) Steel & Composite structures : an international journal Free vibration analysis of sandwich FGM shells using isogeometric B-spline finite strip method / 34 (3) , 361
2	(2020) Smart structures and systems A simple nth-order shear deformation theory for thermomechanical bending analysis of different configurations of FG sandwich plates / 25 (2) , 197
1	(2020) Steel & Composite structures : an international journal Thermal buckling of nonlocal clamped exponentially graded plate according to a secant function based refined theory / 35 (1) , 147
4	(2016) Advances in concrete construction Analysis of post-buckling of higher-order graphene oxide reinforced concrete plates with geometrical imperfection / 9 (4) , 397
2	(2016) Advances in computational design Finite element based modeling and thermal dynamic analysis of functionally graded graphene reinforced beams / 5 (2) , 177
3	(2016) Advances in nano research Bending analysis of magneto-electro piezoelectric nanobeams system under hygro-thermal loading / 8 (3) , 203
2	(2020) Structural engineering and mechanics : An international journal Buckling and free vibration analyses of nanobeams with surface effects via various higher-order shear deformation theories / 74 (2) , 175
4	(2016) Smart structures and systems Thermal flexural analysis of anti-symmetric cross-ply laminated plates using a four variable refined theory / 25 (4) , 409
4	(2016) Steel & Composite structures : an international journal Nonlocal nonlinear dynamic behavior of composite piezo-magnetic beams using a refined higher-order beam theory / 35 (4) , 545
5	(2016) Smart structures and systems Nonlinear vibration of smart nonlocal magneto-electro-elastic beams resting on nonlinear elastic substrate with geometrical imperfection and various piezoelectric effects / 25 (5) , 619
3	(2016) Coupled systems mechanics Mixture rule for studding the environmental pollution reduction in concrete structures containing nanoparticles / 9 (3) , 281
6	(2020) Structural engineering and mechanics : An international journal Elastic wave characteristics of graphene nanoplatelets reinforced composite nanoplates / 74 (6) , 809
6	(2020) Smart structures and systems Nonlinear stability of smart nonlocal magneto-electro-thermo-elastic beams with geometric imperfection and piezoelectric phase effects / 25 (6) , 707
3	(2016) Engineering with computers Analytical modeling of bending and vibration of thick advanced composite plates using a four-variable quasi 3D HSDT / 36 (3) , 807
1	(2016) Advances in nano research Analyzing exact nonlinear forced vibrations of two-phase magneto-electro-elastic nanobeams under an elliptic-type force / 9 (1) , 47
4	(2016) Mechanics based design of structures and machines Torsional vibration of functionally graded nano-rod under magnetic field supported by a generalized torsional foundation based on nonlocal elasticity theory / 48 (4) , 480
1	(2016) Structural engineering and mechanics : An international journal Static analysis of multiple graphene sheet systems in cylindrical bending and resting on an elastic medium / 75 (1) , 109
1	(2020) Computers & concrete Post-buckling analysis of geometrically imperfect nanoparticle reinforced annular sector plates under radial compression / 26 (1) , 21
6	(2016) Steel & Composite structures : an international journal Strain gradient based static stability analysis of composite crystalline shell structures having porosities / 36 (6) , 631
6	(2016) Steel & Composite structures : an international journal Dynamics of graphene-nanoplatelets reinforced composite nanoplates including different boundary conditions / 36 (6) , 689
4	(2016) Engineering with computers Wave dispersion characteristics of fluid-conveying magneto-electro-elastic nanotubes / 36 (4) , 1687
7	(2020) The Journal of strain analysis for engineering design Analyzing nonlocal nonlinear vibrations of two-phase geometrically imperfect piezo-magnetic beams considering piezoelectric reinforcement scheme / 55 (7) , 258
10	(2016) Journal of thermoplastic composite materials Thermal postbuckling behavior of CNT-reinforced composite sandwich plate models resting on elastic foundations with tangentially restrained edges and temperature-dependent properties / 33 (10) , 1396
1	(2021) IOP conference series. Materials science and engineering A Critical Review of Recent Research of Free Vibration and Stability of Functionally Graded Materials of Sandwich Plate / 1094 (1) , 012081
1	(2016) International journal of computational materials science and engineering : IJCMSE A boundary integral investigation for unsteady modified Helmholtz problems of some other classes of anisotropic functionally graded materials / 10 (1) , 2150005
5	(2016) Steel & Composite structures : an international journal On the mechanics of nanocomposites reinforced by wavy/defected/aggregated nanotubes / 38 (5) , 533
None	(2016) Composite structures State of the art in functionally graded materials / 262 (None) , 113596
4	(2016) Waves in random and complex media Wave dispersion of nanobeams incorporating stretching effect / 31 (4) , 639
6	(2016) The journal of sandwich structures & materials Mass density effect on vibration of zigzag and chiral SWCNTs: A theoretical study / 23 (6) , 2245
6	(2016) The journal of sandwich structures & materials On vibration of functionally graded sandwich nanoplates in the thermal environment / 23 (6) , 2217