[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.12989/sem.2016.60.2.313

On thermal stability of plates with functionally graded coefficient of thermal expansion

Bousahla, Abdelmoumen Anis (Centre Universitaire de Relizane)
Benyoucef, Samir (Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes)
Tounsi, Abdelouahed (Laboratoire de Modelisation et Simulation Multi-echelle, Universite de Sidi Bel Abbes)
Mahmoud, S.R. (Department of Mathematics, Faculty of Science, King Abdulaziz University)

Publication Information

Structural Engineering and Mechanics / v.60, no.2, 2016 , pp. 313-335 More about this Journal

Abstract

In this article, a four-variable refined plate theory is presented for buckling analysis of functionally graded plates subjected to uniform, linear and non-linear temperature rises across the thickness direction. The theory accounts for parabolic distribution of the transverse shear strains, and satisfies the zero traction boundary conditions on the surfaces of the plate without using shear correction factor. Young's modulus and Poisson ratio of the FGM plates are assumed to remain constant throughout the entire plate. However, the coefficient of thermal expansion of the FGM plate varies according to a power law form through the thickness coordinate. Equilibrium and stability equations are derived based on the present theory. The influences of many plate parameters on buckling temperature difference such ratio of thermal expansion, aspect ratio, side-to-thickness ratio and gradient index will be investigated.

Keywords

thermal properties; buckling; refined plate theory; functionally graded material; thermal expansion ratio; analytical modeling;

Citations & Related Records

Times Cited By KSCI : 37 (Citation Analysis)

Reference
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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 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
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
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	(2016) 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	(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
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 materials research : AMR Dynamic analysis for anti-symmetric cross-ply and angle-ply laminates for simply supported thick hybrid rectangular plates / 7 (2) , 119
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 Thermal buckling of FGM beams having parabolic thickness variation and temperature dependent materials / 27 (6) , 777
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
1	(2018) Computers & concrete Technical and economical assessment of applying silica nanoparticles for construction of concrete structures / 22 (1) , 117
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
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 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
4	(2016) Structural engineering and mechanics : An international journal A new plate model for vibration response of advanced composite plates in thermal environment / 67 (4) , 369
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	(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
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
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
8	(2016) Journal of thermal stresses Thermal stress induced by electric current in the vicinity of an elliptic inclusion in an infinite plate / 42 (8) , 976
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) Wind & structures Dynamic and wave propagation investigation of FGM plates with porosities using a four variable plate theory / 28 (1) , 49
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
3	(2016) Structural engineering and mechanics : An international journal Hygrothermal effects on the behavior of reinforced-concrete beams strengthened by bonded composite laminate plates / 69 (3) , 327
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
None	(2019) Results in physics Experimental method for obtaining the elastic properties of components of a laminated composite / 12 (None) , 1500
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
None	(2016) Nano hybrids and composites Free Vibration Analysis of Composite Material Plates "Case of a Typical Functionally Graded FG Plates Ceramic/Metal" with Porosities / 25 (None) , 69
4	(2016) Nonlinearity The (small) vibrations of thin plates / 32 (4) , 1175
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
5	(2016) European physical journal Plus Vibration analysis of graphene oxide powder-/carbon fiber-reinforced multi-scale porous nanocomposite beams: A finite-element study / 134 (5) , 225
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
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
6	(2016) Materials research express Nonlinear bending and thermal post-buckling behavior of functionally graded piezoelectric nanosize beams using a refined model / 6 (6) , 065065
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	(2019) Structural engineering and mechanics : An international journal Robust quasi 3D computational model for mechanical response of FG thick sandwich plate / 70 (5) , 571
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
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
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
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
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
4	(2016) Structural engineering and mechanics : An international journal Investigation on thermal buckling of porous FG plate resting on elastic foundation via quasi 3D solution / 72 (4) , 513
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
10	(2016) International journal of applied mechanics Interaction Between Thermal Field and Two-Dimensional Functionally Graded Materials: A Structural Mechanical Example / 11 (10) , 1950099
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	(2020) Journal of vibration and control : JVC Vibration analysis of functionally graded circular plates of variable thickness under thermal environment by generalized differential quadrature method / 26 (1) , 73
1	(2016) Structural engineering and mechanics : An international journal Variational approximate for high order bending analysis of laminated composite plates / 73 (1) , 97
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
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	(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
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 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	(2016) Steel & Composite structures : an international journal Transversely isotropic thin circular plate with multi-dual-phase lag heat transfer / 35 (3) , 343
3	(2016) Coupled systems mechanics Mixture rule for studding the environmental pollution reduction in concrete structures containing nanoparticles / 9 (3) , 281
3	(2016) Engineering with computers Thermal vibration analysis of embedded graphene oxide powder-reinforced nanocomposite plates / 36 (3) , 879
6	(2016) Structural engineering and mechanics : An international journal On scale-dependent stability analysis of functionally graded magneto-electro-thermo-elastic cylindrical nanoshells / 75 (6) , 659
3	(2016) Engineering with computers Application of Chebyshev-Ritz method for static stability and vibration analysis of nonlocal microstructure-dependent nanostructures / 36 (3) , 953
5	(2020) Structural engineering and mechanics : An international journal Optimization of flexure stiffness of FGM beams via artificial neural networks by mixed FEM / 75 (5) , 633
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
None	(2016) Journal of computational and applied mathematics Fractional derivative for interpolation in <SUP> R n </SUP> and SO(n) applications in functionally graded materials and rigid body transformations / 378 (None) , 112937
3	(2021) The journal of sandwich structures & materials Bending and free vibration analysis of functionally graded sandwich plates: An assessment of the Refined Zigzag Theory / 23 (3) , 760
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