[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.12989/sss.2017.19.2.115

A nonlocal quasi-3D theory for bending and free flexural vibration behaviors of functionally graded nanobeams

Bouafia, Khadra (Laboratoire de Modelisation et Simulation Multi-echelle, Departement de Physique, Faculte des Sciences Exactes, Departement de Physique, Universite de Sidi Bel Abbes)
Kaci, Abdelhakim (Laboratoire des Materiaux et Hydrologie, Universite de Sidi Bel Abbes, Faculte de Technologie, Departement de genie civil)
Houari, Mohammed Sid Ahmed (Laboratoire des Materiaux et Hydrologie, Universite de Sidi Bel Abbes, Faculte de Technologie, Departement de genie civil)
Benzair, Abdelnour (Laboratoire de Modelisation et Simulation Multi-echelle, Departement de Physique, Faculte des Sciences Exactes, Departement de Physique, Universite de Sidi Bel Abbes)
Tounsi, Abdelouahed (Laboratoire de Modelisation et Simulation Multi-echelle, Departement de Physique, Faculte des Sciences Exactes, Departement de Physique, Universite de Sidi Bel Abbes)

Publication Information

Smart Structures and Systems / v.19, no.2, 2017 , pp. 115-126 More about this Journal

Abstract

In this paper, size dependent bending and free flexural vibration behaviors of functionally graded (FG) nanobeams are investigated using a nonlocal quasi-3D theory in which both shear deformation and thickness stretching effects are introduced. The nonlocal elastic behavior is described by the differential constitutive model of Eringen, which enables the present model to become effective in the analysis and design of nanostructures. The present theory incorporates the length scale parameter (nonlocal parameter) which can capture the small scale effect, and furthermore accounts for both shear deformation and thickness stretching effects by virtue of a hyperbolic variation of all displacements through the thickness without using shear correction factor. The material properties of FG nanobeams are assumed to vary through the thickness according to a power law. The neutral surface position for such FG nanobeams is determined and the present theory based on exact neutral surface position is employed here. The governing equations are derived using the principal of minimum total potential energy. The effects of nonlocal parameter, aspect ratio and various material compositions on the static and dynamic responses of the FG nanobeam are discussed in detail. A detailed numerical study is carried out to examine the effect of material gradient index, the nonlocal parameter, the beam aspect ratio on the global response of the FG nanobeam. These findings are important in mechanical design considerations of devices that use carbon nanotubes.

Keywords

nanobeam; nonlocal elasticity theory; bending; vibration; stretching effect; functionally graded materials;

Citations & Related Records

Times Cited By KSCI : 31 (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)
6	Hamed SafarPour. (2017) The European Physical Journal Plus Influence of various temperature distributions on critical speed and vibrational characteristics of rotating cylindrical microshells with modified lengthscale parameter / 132 (6)
6	K. Kiani. (2017) Acta Physica Polonica A Nonlocal Timoshenko Beam for Vibrations of Magnetically Affected Inclined Single-Walled Carbon Nanotubes as Nanofluidic Conveyors / 131 (6) , 1439
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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 Temperature and Strain Rate Dependent Mechanical Properties of a Square Nickel Plate with Different Shaped Central Cracks: A Molecular Dynamics Study / 55 (1661-9897) , 32
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
1661-9897	(2018) Journal of Nano Research Buckling Analysis of Orthotropic Nanoscale Plates Resting on Elastic Foundations / 55 (1661-9897) , 42
1435-5663	(2018) Engineering with Computers Numerical evaluation of transient deflection and frequency responses of sandwich shell structure using higher order theory and different mechanical loadings / (1435-5663)
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
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
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
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
1435-5663	(2019) Engineering with Computers On modeling of wave propagation in a thermally affected GNP-reinforced imperfect nanocomposite shell / (1435-5663)
1661-9897	(2018) Journal of Nano Research Vibration Analysis of Nano Beam Using Differential Transform Method Including Thermal Effect / 54 (1661-9897) , 1
8	(2018) Journal of the Brazilian Society of Mechanical Sciences and Engineering Forced vibration analysis of cracked nanobeams / 40 (8)
8	(2018) Microsystem Technologies Axial magnetic field effects on dynamic characteristics of embedded multiphase nanocrystalline nanobeams / 24 (8) , 3521
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)
2	(2017) Computers & concrete Dynamic bending response of SWCNT reinforced composite plates subjected to hygro-thermo-mechanical loading / 20 (2) , 229
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)
1	(2017) Advances in materials research : AMR Bending and stability analysis of size-dependent compositionally graded Timoshenko nanobeams with porosities / 6 (1) , 45
6	(2017) Structural engineering and mechanics : An international journal A nonlocal zeroth-order shear deformation theory for nonlinear postbuckling of nanobeams / 62 (6) , 695
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
3	(2017) 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
5	(2017) Structural engineering and mechanics : An international journal A simple analytical approach for thermal buckling of thick functionally graded sandwich plates / 63 (5) , 585
3	(2017) 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
3	(2017) Advances in materials research : AMR Elastic analysis of interfacial stress concentrations in CFRP-RC hybrid beams: Effect of creep and shrinkage / 6 (3) , 257
3	(2017) Earthquakes and structures An efficient shear deformation theory for wave propagation in functionally graded material beams with porosities / 13 (3) , 255
3	(2017) Geomechanics & engineering A four variable refined nth-order shear deformation theory for mechanical and thermal buckling analysis of functionally graded plates / 13 (3) , 385
2	(2017) Steel & Composite structures : an international journal A new and simple HSDT for thermal stability analysis of FG sandwich plates / 25 (2) , 157
2	(2017) 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	(2017) 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	(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	(2017) 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 A new nonlocal trigonometric shear deformation theory for thermal buckling analysis of embedded nanosize FG plates / 64 (4) , 391
6	(2017) Structural engineering and mechanics : An international journal A new quasi-3D HSDT for buckling and vibration of FG plate / 64 (6) , 737
6	(2017) 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	(2017) 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	(2017) 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 A nonlocal strain gradient theory for nonlinear free and forced vibration of embedded thick FG double layered nanoplates / 68 (1) , 103
5	(2017) 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	(2017) Advances in nano research Forced vibration analysis of cracked functionally graded microbeams / 6 (1) , 39
6	(2017) Steel & Composite structures : an international journal Post-buckling responses of a laminated composite beam / 26 (6) , 733
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	(2017) Structural engineering and mechanics : An international journal Geometrically nonlinear analysis of a laminated composite beam / 66 (1) , 27
1	(2017) 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	(2017) Structural engineering and mechanics : An international journal Three dimensional dynamic response of functionally graded nanoplates under a moving load / 66 (2) , 249
4	(2017) 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
1	(2017) Geomechanics & engineering Free vibration and buckling analysis of orthotropic plates using a new two variable refined plate theory / 15 (1) , 711
6	(2017) 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	(2017) 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
5	(2018) Computers & concrete Vibration and instability of nanocomposite pipes conveying fluid mixed by nanoparticles resting on viscoelastic foundation / 21 (5) , 569
4	(2017) 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	(2017) Steel & Composite structures : an international journal Large deflection analysis of a fiber reinforced composite beam / 27 (5) , 567
5	(2017) Steel & Composite structures : an international journal A novel four-unknown quasi-3D shear deformation theory for functionally graded plates / 27 (5) , 599
2	(2017) 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 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	(2017) 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	(2017) Steel & Composite structures : an international journal A size-dependent quasi-3D model for wave dispersion analysis of FG nanoplates / 28 (1) , 99
1	(2017) 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	(2017) 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	(2017) Steel & Composite structures : an international journal Forced vibration response in nanocomposite cylindrical shells - Based on strain gradient beam theory / 28 (3) , 381
3	(2017) Structural engineering and mechanics : An international journal A novel shear and normal deformation theory for hygrothermal bending response of FGM sandwich plates on Pasternak elastic foundation / 67 (3) , 219
3	(2017) Structural engineering and mechanics : An international journal Single variable shear deformation model for bending analysis of thick beams / 67 (3) , 291
2	(2017) Earthquakes and structures Nonlinear analysis of damaged RC beams strengthened with glass fiber reinforced polymer plate under symmetric loads / 15 (2) , 113
5	(2017) 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	(2017) 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
4	(2017) Wind & structures An analytical solution for free vibration of functionally graded beam using a simple first-order shear deformation theory / 27 (4) , 247
3	(2017) 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	(2017) Earthquakes and structures Dynamic analysis of immersion concrete pipes in water subjected to earthquake load using mathematical methods / 15 (4) , 361
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	(2017) 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
6	(2017) 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	(2017) 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
1	(2017) 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	(2017) 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	(2017) Wind & structures Dynamic investigation of porous functionally graded beam using a sinusoidal shear deformation theory / 28 (1) , 19
1	(2017) Wind & structures Dynamic and wave propagation investigation of FGM plates with porosities using a four variable plate theory / 28 (1) , 49
1	(2017) Advances in concrete construction Dynamic analysis of concrete column reinforced with Sio<SUB>2</SUB> nanoparticles subjected to blast load / 7 (1) , 51
2	(2017) 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	(2017) 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	(2017) Advances in nano research Thermal buckling analysis of SWBNNT on Winkler foundation by non local FSDT / 7 (2) , 89
6	(2017) Structural engineering and mechanics : An international journal Vibration analysis of different material distributions of functionally graded microbeam / 69 (6) , 637
3	(2017) Smart structures and systems Nonlocal strain gradient model for thermal stability of FG nanoplates integrated with piezoelectric layers / 23 (3) , 215
None	(2017) Journal of nano research Postbuckling of Curved Carbon Nanotubes Using Energy Equivalent Model / 57 (None) , 136
None	(2017) Journal of nano research Participation Factor and Vibration of Carbon Nanotube with Vacancies / 57 (None) , 158
None	(2017) 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
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
3	(2017) Advances in nano research Dynamic analysis of nanosize FG rectangular plates based on simple nonlocal quasi 3D HSDT / 7 (3) , 191
5	(2017) 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
5	(2017) 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
4	(2017) Structural engineering and mechanics : An international journal Influence of shear preload on wave propagation in small-scale plates with nanofibers / 70 (4) , 407
2	(2017) Geomechanics & engineering The effect of parameters of visco-Pasternak foundation on the bending and vibration properties of a thick FG plate / 18 (2) , 161
6	(2019) Wind & structures Conformable solution of fractional vibration problem of plate subjected to in-plane loads / 28 (6) , 347
7	(2019) European physical journal Plus Stability analysis of embedded graphene platelets reinforced composite plates in thermal environment / 134 (7) , 349
16	(2017) 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
15	(2017) Molecules Nonlocal Buckling Analysis of Composite Curved Beams Reinforced with Functionally Graded Carbon Nanotubes / 24 (15) , 2750
17	(2017) Applied sciences Free Vibration Analysis of Triclinic Nanobeams Based on the Differential Quadrature Method / 9 (17) , 3517
3	(2017) Advances in materials research : AMR Analyzing nonlinear mechanical-thermal buckling of imperfect micro-scale beam made of graded graphene reinforced composites / 8 (3) , 219
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	(2017) Advances in nano research Size-dependent vibration analysis of laminated composite plates / 7 (5) , 337
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	(2017) Structural engineering and mechanics : An international journal Frequency response of initially deflected nanotubes conveying fluid via a nonlinear NSGT model / 72 (1) , 71
1	(2019) Structural engineering and mechanics : An international journal Assessment of porosity influence on dynamic characteristics of smart heterogeneous magneto-electro-elastic plates / 72 (1) , 113
4	(2017) 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	(2017) Journal of nano research A Non-Linear Spring Model for Predicting Modal Behavior of Oscillators Built from Double Walled Carbon Nanotubes / 60 (None) , 21
None	(2017) 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	(2017) 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	(2017) European physical journal Plus Dynamic modeling of a multi-scale sandwich composite panel containing flexible core and MR smart layer / 134 (12) , 622
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	(2017) 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	(2017) European physical journal Plus Hygrothermal postbuckling analysis of smart multiscale piezoelectric composite shells / 135 (2) , 242
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) Structural monitoring and maintenance A numerical method for dynamic characteristics of nonlocal porous metal-ceramic plates under periodic dynamic loads / 7 (1) , 27
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
1	(2020) Steel & Composite structures : an international journal Buckling response of smart plates reinforced by nanoparticles utilizing analytical method / 35 (1) , 1
1	(2020) Structural engineering and mechanics : An international journal A refined HSDT for bending and dynamic analysis of FGM plates / 74 (1) , 105
3	(2017) Advances in nano research Bending analysis of magneto-electro piezoelectric nanobeams system under hygro-thermal loading / 8 (3) , 203
4	(2017) Smart structures and systems Thermal flexural analysis of anti-symmetric cross-ply laminated plates using a four variable refined theory / 25 (4) , 409
5	(2020) Structural and multidisciplinary optimization : journal of the International Society for Structural and Multidisciplinary Optimization Two new indices for structural optimization of free vibration suppression / 61 (5) , 2057
5	(2017) 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
5	(2017) 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	(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	(2017) Coupled systems mechanics Mixture rule for studding the environmental pollution reduction in concrete structures containing nanoparticles / 9 (3) , 281
6	(2017) Smart structures and systems Dynamic behavior of axially functionally graded simply supported beams / 25 (6) , 669
6	(2017) Steel & Composite structures : an international journal Static analysis of multilayer nonlocal strain gradient nanobeam reinforced by carbon nanotubes / 36 (6) , 643
6	(2017) Steel & Composite structures : an international journal Dynamics of graphene-nanoplatelets reinforced composite nanoplates including different boundary conditions / 36 (6) , 689
3	(2017) Smart structures and systems Exact solution for nonlinear vibration of clamped-clamped functionally graded buckled beam / 26 (3) , 361
4	(2017) Engineering with computers Wave dispersion characteristics of fluid-conveying magneto-electro-elastic nanotubes / 36 (4) , 1687
7	(2017) Applied sciences Buckling Analysis of CNTRC Curved Sandwich Nanobeams in Thermal Environment / 11 (7) , 3250
4	(2017) Waves in random and complex media Wave dispersion of nanobeams incorporating stretching effect / 31 (4) , 639
1	(2017) Advances in nano research Mechanical analysis of bi-functionally graded sandwich nanobeams / 11 (1) , 55
6	(2017) The journal of sandwich structures & materials Mass density effect on vibration of zigzag and chiral SWCNTs: A theoretical study / 23 (6) , 2245