[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.12989/sem.2016.58.3.397

Thermal stability of functionally graded sandwich plates using a simple shear deformation theory

Bouderba, Bachir (Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes)
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)
Tounsi, Abdelouahed (Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes)
Mahmoud, S.R. (Department of Mathematics, Faculty of Science, King Abdulaziz University)

Publication Information

Structural Engineering and Mechanics / v.58, no.3, 2016 , pp. 397-422 More about this Journal

Abstract

In the present work, a simple first-order shear deformation theory is developed and validated for a variety of numerical examples of the thermal buckling response of functionally graded sandwich plates with various boundary conditions. Contrary to the conventional first-order shear deformation theory, the present first-order shear deformation theory involves only four unknowns and has strong similarities with the classical plate theory in many aspects such as governing equations of motion, and stress resultant expressions. Material properties and thermal expansion coefficient of the sandwich plate faces are assumed to be graded in the thickness direction according to a simple power-law distribution in terms of the volume fractions of the constituents. The core layer is still homogeneous and made of an isotropic material. The thermal loads are considered as uniform, linear and non-linear temperature rises within the thickness direction. The results reveal that the volume fraction index, loading type and functionally graded layers thickness have significant influence on the thermal buckling of functionally graded sandwich plates. Moreover, numerical results prove that the present simple first-order shear deformation theory can achieve the same accuracy of the existing conventional first-order shear deformation theory which has more number of unknowns.

Keywords

plate theory; thermal buckling; functionally graded plate; sandwich plate; volume fraction index;

Citations & Related Records

Times Cited By KSCI : 47 (Citation Analysis)

Reference
Cited By KSCI

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06	(2018) International Journal of Applied Mechanics Impulsive Response of Rectangular Metal Sandwich Plate with a Graded Foam Core / 10 (06) , 1850064
9	(2018) Materials Research Express Nonlocal three-dimensional theory of elasticity for buckling behavior of functionally graded porous nanoplates using volume integrals / 5 (9) , 095006
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
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6	(2016) Steel & Composite structures : an international journal Hygrothermal effects on buckling of composite shell-experimental and FEM results / 22 (6) , 1445
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
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	(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
4	(2016) Structural engineering and mechanics : An international journal Rotating effects on hygro-mechanical vibration analysis of FG beams based on Euler-Bernoulli beam theory / 63 (4) , 471
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
1	(2016) Structural engineering and mechanics : An international journal Vibro-acoustic analysis of un-baffled curved composite panels with experimental validation / 64 (1) , 93
1	(2016) Structural engineering and mechanics : An international journal Dynamic characteristics of curved inhomogeneous nonlocal porous beams in thermal environment / 64 (1) , 121
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
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	(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	(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
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 Enhancement of thermal buckling strength of laminated sandwich composite panel structure embedded with shape memory alloy fibre / 20 (5) , 595
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) 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	(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) 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 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	(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
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
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) Structural engineering and mechanics : An international journal Analytical investigation of bending response of FGM plate using a new quasi 3D shear deformation theory: Effect of the micromechanical models / 66 (3) , 317
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
3	(2016) Structural engineering and mechanics : An international journal A unified formulation for modeling of inhomogeneous nonlocal beams / 66 (3) , 369
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
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6	(2016) Steel & Composite structures : an international journal Thermal buckling of FGM beams having parabolic thickness variation and temperature dependent materials / 27 (6) , 777
2	(2016) Advances in nano research A new nonlocal HSDT for analysis of stability of single layer graphene sheet / 6 (2) , 147
6	(2016) Steel & Composite structures : an international journal Quasi-3D static analysis of two-directional functionally graded circular plates / 27 (6) , 789
6	(2016) Structural engineering and mechanics : An international journal Study on thermal buckling and post-buckling behaviors of FGM tubes resting on elastic foundations / 66 (6) , 729
6	(2018) Structural engineering and mechanics : An international journal Mechanical buckling analysis of hybrid laminated composite plates under different boundary conditions / 66 (6) , 761
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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
2	(2016) Structural engineering and mechanics : An international journal The critical buckling load of reinforced nanocomposite porous plates / 67 (2) , 115
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
1	(2018) Smart structures and systems Eigenfrequencies of advanced composite plates using an efficient hybrid quasi-3D shear deformation theory / 22 (1) , 121
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 A novel shear and normal deformation theory for hygrothermal bending response of FGM sandwich plates on Pasternak elastic foundation / 67 (3) , 219
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3	(2018) Structural engineering and mechanics : An international journal Numerical study for vibration response of concrete beams reinforced by nanoparticles / 67 (3) , 311
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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
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	(2016) Earthquakes and structures Dynamic analysis of immersion concrete pipes in water subjected to earthquake load using mathematical methods / 15 (4) , 361
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
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
5	(2018) Wind & structures Dynamic and bending analysis of carbon nanotube-reinforced composite plates with elastic foundation / 27 (5) , 311
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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
4	(2016) Advances in nano research Critical buckling loads of carbon nanotube embedded in Kerr's medium / 6 (4) , 339
6	(2018) Steel & Composite structures : an international journal Numerical approaches for vibration response of annular and circular composite plates / 29 (6) , 759
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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
1	(2016) Earthquakes and structures Finite element solution of stress and flexural strength of functionally graded doubly curved sandwich shell panel / 16 (1) , 55
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
2	(2019) Geomechanics & engineering Analyzing post-buckling behavior of continuously graded FG nanobeams with geometrical imperfections / 17 (2) , 175
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
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
6	(2016) Structural engineering and mechanics : An international journal Vibration analysis of different material distributions of functionally graded microbeam / 69 (6) , 637
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4	(2016) Nonlinearity The (small) vibrations of thin plates / 32 (4) , 1175
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	(2016) Advances in nano research Dynamic analysis of nanosize FG rectangular plates based on simple nonlocal quasi 3D HSDT / 7 (3) , 191
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
5	(2016) Structural engineering and mechanics : An international journal Vibration of sandwich plates considering elastic foundation, temperature change and FGM faces / 70 (5) , 601
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
7	(2016) European physical journal Plus Dynamic analysis of multi-layered composite beams reinforced with graphene platelets resting on two-parameter viscoelastic foundation / 134 (7) , 339
5	(2019) Advances in nano research Vibration analysis of nonlocal porous nanobeams made of functionally graded material / 7 (5) , 351
1	(2019) Structural engineering and mechanics : An international journal Static analysis of monoclinic plates via a three-dimensional model using differential quadrature method / 72 (1) , 131
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
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
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
1	(2019) International journal of mechanical and materials engineering An analytical investigation of elastic-plastic deformation of FGM hollow rotors under a high centrifugal effect / 14 (1) , 16
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	(2020) Steel & Composite structures : an international journal Vibration of angle-ply laminated composite circular and annular plates / 34 (1) , 141
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
2	(2016) 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	(2016) 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
4	(2020) Journal of nanoparticle research : an interdisciplinary forum for nanoscale science and technology Buckling response of functionally graded nanoplates under combined thermal and mechanical loadings / 22 (4) , 92
1	(2020) Structural engineering and mechanics : An international journal Effect of material transverse distribution profile on buckling of thick functionally graded material plates according to TSDT / 74 (1) , 83
1	(2020) Structural engineering and mechanics : An international journal A refined HSDT for bending and dynamic analysis of FGM plates / 74 (1) , 105
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
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	(2016) Coupled systems mechanics Mixture rule for studding the environmental pollution reduction in concrete structures containing nanoparticles / 9 (3) , 281
2	(2016) Structural monitoring and maintenance Dynamic response of size-dependent porous functionally graded beams under thermal and moving load using a numerical approach / 7 (2) , 69
3	(2016) Engineering with computers Thermal vibration analysis of embedded graphene oxide powder-reinforced nanocomposite plates / 36 (3) , 879
1	(2016) Mechanics based design of structures and machines Elasticity formulation for motion equations of couple stress based micro-rotating disks with varying speeds / 49 (1) , 1
3	(2016) Engineering with computers Application of Chebyshev-Ritz method for static stability and vibration analysis of nonlocal microstructure-dependent nanostructures / 36 (3) , 953
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1	(2021) Archive of applied mechanics : Ingenieur-Archiv Higher-order semi-layerwise models for doubly curved delaminated composite shells / 91 (1) , 61
None	(2016) Shock and vibration Geometrical Influences on the Vibration of Layered Plates / 2021 (None) , 1
3	(2016) The journal of sandwich structures & materials Dynamic and stability analysis of functionally graded material sandwich plates in hygro-thermal environment using a simple higher shear deformation theory / 23 (3) , 814
5	(2016) Proceedings of the Institution of Mechanical Engineers. Part L, Journal of materials, design and applications Buckling and free vibration characteristics of embedded inhomogeneous functionally graded elliptical plate in hygrothermal environment / 235 (5) , 1046
4	(2016) Waves in random and complex media Modeling of memory-dependent derivative in a functionally graded plate / 31 (4) , 618
4	(2016) Waves in random and complex media Wave dispersion of nanobeams incorporating stretching effect / 31 (4) , 639
2	(2021) Advances in nano research Free vibration analysis of carbon nanotube RC nanobeams with variational approaches / 11 (2) , 157
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