[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.12989/scs.2015.18.4.1063

On vibration properties of functionally graded nano-plate using a new nonlocal refined four variable model

Belkorissat, Ismahene (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department)
Houari, Mohammed Sid Ahmed (Laboratoire des Structures et Materiaux Avances dans le Genie Civil et Travaux Publics, Universite de Sidi Bel Abbes, Faculte de Technologie, Departement de genie civil)
Tounsi, Abdelouahed (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department)
Bedia, E.A. Adda (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department)
Mahmoud, S.R. (Department of Mathematics, Faculty of Science, King Abdulaziz University)

Publication Information

Steel and Composite Structures / v.18, no.4, 2015 , pp. 1063-1081 More about this Journal

Abstract

In this paper, a new nonlocal hyperbolic refined plate model is presented for free vibration properties of functionally graded (FG) plates. This nonlocal nano-plate model incorporates the length scale parameter which can capture the small scale effect. The displacement field of the present theory is chosen based on a hyperbolic variation in the in-plane displacements through the thickness of the nano-plate. By dividing the transverse displacement into the bending and shear parts, the number of unknowns and equations of motion of the present theory is reduced, significantly facilitating structural analysis. The material properties are assumed to vary only in the thickness direction and the effective properties for the FG nano-plate are computed using Mori-Tanaka homogenization scheme. The governing equations of motion are derived based on the nonlocal differential constitutive relations of Eringen in conjunction with the refined four variable plate theory via Hamilton's principle. Analytical solution for the simply supported FG nano-plates is obtained to verify the theory by comparing its results with other available solutions in the open literature. The effects of nonlocal parameter, the plate thickness, the plate aspect ratio, and various material compositions on the dynamic response of the FG nano-plate are discussed.

Keywords

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

Citations & Related Records

Times Cited By KSCI : 14 (Citation Analysis)

Reference
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11	(2018) Coatings Non-Local Buckling Analysis of Functionally Graded Nanoporous Metal Foam Nanoplates / 8 (11) , 389
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
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41	(2018) Nanotechnology Stabilities and electronic properties of nanowires made of single atomic sulfur chains encapsulated in zigzag carbon nanotubes / 29 (41) , 415703
8	(2018) Journal of the Brazilian Society of Mechanical Sciences and Engineering Forced vibration analysis of cracked nanobeams / 40 (8)
7	(2018) Materials Research Express An analytical study on the size dependent longitudinal vibration analysis of thick nanorods / 5 (7) , 075016
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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)
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
3	(2015) 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	(2015) 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 materials research : AMR Bending and stability analysis of size-dependent compositionally graded Timoshenko nanobeams with porosities / 6 (1) , 45
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	(2015) Smart structures and systems Thermal buckling analysis of cross-ply laminated plates using a simplified HSDT / 19 (3) , 289
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	(2015) Smart structures and systems Free vibration analysis of embedded nanosize FG plates using a new nonlocal trigonometric shear deformation theory / 19 (6) , 601
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	(2015) 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	(2015) 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	(2015) Structural engineering and mechanics : An international journal A simple analytical approach for thermal buckling of thick functionally graded sandwich plates / 63 (5) , 585
3	(2015) Earthquakes and structures An efficient shear deformation theory for wave propagation in functionally graded material beams with porosities / 13 (3) , 255
1	(2017) Steel & Composite structures : an international journal Vibration analysis of FG nanobeams based on third-order shear deformation theory under various boundary conditions / 25 (1) , 67
3	(2015) 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	(2015) 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	(2015) Steel & Composite structures : an international journal Analytical solutions for sandwich plates considering permeation effect by 3-D elasticity theory / 25 (2) , 127
2	(2015) Steel & Composite structures : an international journal A new and simple HSDT for thermal stability analysis of FG sandwich plates / 25 (2) , 157
2	(2015) 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
3	(2015) 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
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
4	(2015) Steel & Composite structures : an international journal Thermal vibration of two-dimensional functionally graded (2D-FG) porous Timoshenko nanobeams / 25 (4) , 415
5	(2015) 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	(2015) 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
6	(2015) Structural engineering and mechanics : An international journal Vibration analysis of FG nanoplates with nanovoids on viscoelastic substrate under hygro-thermo-mechanical loading using nonlocal strain gradient theory / 64 (6) , 683
6	(2015) Structural engineering and mechanics : An international journal A new quasi-3D HSDT for buckling and vibration of FG plate / 64 (6) , 737
6	(2015) 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	(2015) 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	(2015) Steel & Composite structures : an international journal An original HSDT for free vibration analysis of functionally graded plates / 25 (6) , 735
2	(2015) Geomechanics & engineering Vibration analysis of thick orthotropic plates using quasi 3D sinusoidal shear deformation theory / 16 (2) , 141
5	(2015) 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	(2015) Advances in nano research Forced vibration analysis of cracked functionally graded microbeams / 6 (1) , 39
6	(2015) 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
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	(2015) Structural engineering and mechanics : An international journal Improved HSDT accounting for effect of thickness stretching in advanced composite plates / 66 (1) , 61
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
4	(2018) Computers & concrete Vibration and instability analysis of pipes reinforced by SiO<SUB>2</SUB> nanoparticles considering agglomeration effects / 21 (4) , 431
2	(2015) Structural engineering and mechanics : An international journal Three dimensional dynamic response of functionally graded nanoplates under a moving load / 66 (2) , 249
4	(2015) 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
6	(2015) 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	(2015) 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
1	(2015) 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	(2015) Steel & Composite structures : an international journal Mathematical modeling of smart nanoparticles-reinforced concrete foundations: Vibration analysis / 27 (4) , 465
4	(2018) Steel & Composite structures : an international journal Nonlocal free vibration analysis of a doubly curved piezoelectric nano shell / 27 (4) , 479
4	(2018) Structural engineering and mechanics : An international journal Three dimensional finite elements modeling of FGM plate bending using UMAT / 66 (4) , 487
5	(2015) Steel & Composite structures : an international journal A novel four-unknown quasi-3D shear deformation theory for functionally graded plates / 27 (5) , 599
2	(2015) 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	(2015) 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	(2015) 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	(2015) Steel & Composite structures : an international journal Forced vibration response in nanocomposite cylindrical shells - Based on strain gradient beam theory / 28 (3) , 381
3	(2015) 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	(2015) 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	(2015) 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
3	(2015) 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	(2015) Earthquakes and structures Dynamic analysis of immersion concrete pipes in water subjected to earthquake load using mathematical methods / 15 (4) , 361
4	(2015) Wind & structures An analytical solution for free vibration of functionally graded beam using a simple first-order shear deformation theory / 27 (4) , 247
4	(2015) 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
5	(2015) 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	(2015) Advances in nano research Critical buckling loads of carbon nanotube embedded in Kerr's medium / 6 (4) , 339
1	(2015) Steel & Composite structures : an international journal A novel hyperbolic shear deformation theory for the mechanical buckling analysis of advanced composite plates resting on elastic foundations / 30 (1) , 13
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	(2015) 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	(2015) Wind & structures Dynamic investigation of porous functionally graded beam using a sinusoidal shear deformation theory / 28 (1) , 19
1	(2015) Wind & structures Dynamic and wave propagation investigation of FGM plates with porosities using a four variable plate theory / 28 (1) , 49
2	(2019) Geomechanics & engineering Analyzing post-buckling behavior of continuously graded FG nanobeams with geometrical imperfections / 17 (2) , 175
1	(2015) 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	(2015) 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	(2015) 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	(2015) Advances in nano research Thermal buckling analysis of SWBNNT on Winkler foundation by non local FSDT / 7 (2) , 89
2	(2015) 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	(2015) Structural engineering and mechanics : An international journal Vibration analysis of different material distributions of functionally graded microbeam / 69 (6) , 637
3	(2015) Smart structures and systems Nonlocal strain gradient model for thermal stability of FG nanoplates integrated with piezoelectric layers / 23 (3) , 215
None	(2015) Journal of nano research Postbuckling of Curved Carbon Nanotubes Using Energy Equivalent Model / 57 (None) , 136
None	(2015) Journal of nano research Participation Factor and Vibration of Carbon Nanotube with Vacancies / 57 (None) , 158
1	(2019) Structural engineering and mechanics : An international journal Buckling behavior of rectangular plates under uniaxial and biaxial compression / 70 (1) , 113
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
2	(2015) Geomechanics & engineering The effect of parameters of visco-Pasternak foundation on the bending and vibration properties of a thick FG plate / 18 (2) , 161
3	(2015) Advances in concrete construction Improved analytical method for adhesive stresses in plated beam: Effect of shear deformation / 7 (3) , 151
3	(2015) Advances in nano research Dynamic analysis of nanosize FG rectangular plates based on simple nonlocal quasi 3D HSDT / 7 (3) , 191
4	(2015) Structural engineering and mechanics : An international journal Influence of shear preload on wave propagation in small-scale plates with nanofibers / 70 (4) , 407
5	(2015) 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
3	(2015) 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	(2015) Structural monitoring and maintenance Finite element formulation and vibration of nonlocal refined metal foam beams with symmetric and non-symmetric porosities / 6 (2) , 147
7	(2015) European physical journal Plus h-p finite element vibration analysis of side cracked rectangular nano-plates based on nonlocal elasticity theory / 134 (7) , 336
16	(2015) 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
3	(2015) Iranian journal of science and technology. Transactions of mechanical engineering Investigating Instability Regions of Harmonically Loaded Refined Shear Deformable Inhomogeneous Nanoplates / 43 (3) , 393
9	(2019) Materials research express Post-buckling analysis of honeycomb core sandwich panels with geometrical imperfection and graphene reinforced nano-composite face sheets / 6 (9) , 095017
1	(2015) Engineering research express Buckling analysis of porous FGM sandwich nanoplates due to heat conduction via nonlocal strain gradient theory / 1 (1) , 015022
5	(2019) Advances in nano research Vibration analysis of nonlocal porous nanobeams made of functionally graded material / 7 (5) , 351
10	(2019) European physical journal Plus Nonlinear forced vibrations of sandwich smart nanobeams with two-phase piezo-magnetic face sheets / 134 (10) , 508
1	(2015) Steel & Composite structures : an international journal Effect of nonlocal parameter on nonlocal thermoelastic solid due to inclined load / 33 (1) , 123
1	(2019) Steel & Composite structures : an international journal Static stability analysis of axially functionally graded tapered micro columns with different boundary conditions / 33 (1) , 133
1	(2015) Structural engineering and mechanics : An international journal Frequency response of initially deflected nanotubes conveying fluid via a nonlinear NSGT model / 72 (1) , 71
4	(2015) Computers & concrete Influences of porosity on dynamic response of FG plates resting on Winkler/Pasternak/Kerr foundation using quasi 3D HSDT / 24 (4) , 347
2	(2015) Steel & Composite structures : an international journal On axial buckling and post-buckling of geometrically imperfect single-layer graphene sheets / 33 (2) , 261
None	(2015) 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	(2015) Advances in nano research Effect of nano glass cenosphere filler on hybrid composite eigenfrequency responses - An FEM approach and experimental verification / 7 (6) , 419
6	(2015) Advances in nano research The nano scale bending and dynamic properties of isolated protein microtubules based on modified strain gradient theory / 7 (6) , 443
12	(2015) European physical journal Plus Dynamic modeling of a multi-scale sandwich composite panel containing flexible core and MR smart layer / 134 (12) , 622
4	(2015) Strojnícky &ccaron;asopis Free Vibration Analysis of Simply Supported P-FGM Nanoplate Using a Nonlocal Four Variables Shear Deformation Plate Theory / 69 (4) , 9
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
2	(2015) European physical journal Plus Hygrothermal postbuckling analysis of smart multiscale piezoelectric composite shells / 135 (2) , 242
6	(2015) Steel & Composite structures : an international journal Effect of grading pattern and porosity on the eigen characteristics of porous functionally graded structure / 33 (6) , 865
6	(2015) Wind & structures On the modeling of dynamic behavior of composite plates using a simple nth-HSDT / 29 (6) , 371
2	(2020) Structural engineering and mechanics : An international journal Transfer matrix formulations and single variable shear deformation theory for crack detection in beam-like structures / 73 (2) , 109
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
5	(2020) Steel & Composite structures : an international journal Three dimensional free vibration analysis of functionally graded nano cylindrical shell considering thickness stretching effect / 34 (5) , 657
2	(2015) Advances in aircraft and spacecraft science Mechanical-hygro-thermal vibrations of functionally graded porous plates with nonlocal and strain gradient effects / 7 (2) , 169
1	(2015) Advances in materials research : AMR A review of effects of partial dynamic loading on dynamic response of nonlocal functionally graded material beams / 9 (1) , 33
1	(2020) Structural monitoring and maintenance A numerical method for dynamic characteristics of nonlocal porous metal-ceramic plates under periodic dynamic loads / 7 (1) , 27
None	(2020) Journal of nano research Critical Buckling Load of Triple-Walled Carbon Nanotube Based on Nonlocal Elasticity Theory / 62 (None) , 108
3	(2015) 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	(2015) Smart structures and systems Thermal flexural analysis of anti-symmetric cross-ply laminated plates using a four variable refined theory / 25 (4) , 409
3	(2015) Structural engineering and mechanics : An international journal Time harmonic interactions in non local thermoelastic solid with two temperatures / 74 (3) , 341
3	(2020) Coupled systems mechanics Vibration analysis of nonlocal strain gradient porous FG composite plates coupled by visco-elastic foundation based on DQM / 9 (3) , 201
3	(2015) Coupled systems mechanics Mixture rule for studding the environmental pollution reduction in concrete structures containing nanoparticles / 9 (3) , 281
3	(2015) Engineering with computers Thermal vibration analysis of embedded graphene oxide powder-reinforced nanocomposite plates / 36 (3) , 879
4	(2015) 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	(2015) 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
9	(2015) Proceedings of the Institution of Mechanical Engineers. Part L, Journal of materials, design and applications Nonlocal vibration analysis of the three-layered FG nanoplates subjected to applied electric potential considering thickness stretching effect / 234 (9) , 1183
4	(2015) Engineering with computers Wave dispersion characteristics of fluid-conveying magneto-electro-elastic nanotubes / 36 (4) , 1687
5	(2020) Coupled systems mechanics Thermomechanical interactions in a non local thermoelastic model with two temperature and memory dependent derivatives / 9 (5) , 397
None	(2015) Journal of nano research Free Vibration Analysis of Functionally Graded FG Nano-Plates with Porosities / 64 (None) , 61
1	(2015) Advances in nano research Size dependent vibration of embedded functionally graded nanoplate in hygrothermal environment by Rayleigh-Ritz method / 10 (1) , 25
3	(2021) Steel & Composite structures : an international journal Buckling treatment of piezoelectric functionally graded graphene platelets micro plates / 38 (3) , 337
None	(2015) Composite structures State of the art in functionally graded materials / 262 (None) , 113596
6	(2015) The journal of sandwich structures & materials On vibration of functionally graded sandwich nanoplates in the thermal environment / 23 (6) , 2217
4	(2015) Waves in random and complex media Wave dispersion of nanobeams incorporating stretching effect / 31 (4) , 639
1	(2021) Advances in nano research Size-dependent vibration response of porous graded nanostructure with FEM and nonlocal continuum model / 11 (1) , 1