[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.12989/sss.2016.18.4.755

Hygro-thermo-mechanical bending of S-FGM plates resting on variable elastic foundations using a four-variable trigonometric plate theory

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

Publication Information

Smart Structures and Systems / v.18, no.4, 2016 , pp. 755-786 More about this Journal

Abstract

The hygro-thermo-mechanical bending behavior of sigmoid functionally graded material (S-FGM) plate resting on variable two-parameter elastic foundations is discussed using a four-variable refined plate theory. The material characteristics are distributed within the thickness direction according to the two power law variation in terms of volume fractions of the constituents of the material. By employing a four variable refined plate model, both a trigonometric distribution of the transverse shear strains within the thickness and the zero traction boundary conditions on the top and bottom surfaces of the plate are respected without utilizing shear correction factors. The number of independent variables of the current formulation is four, as against five in other shear deformation models. The governing equations are deduced based on the four-variable refined plate theory incorporating the external load and hygro-thermal influences. The results of this work are compared with those of other shear deformation models. Various numerical examples introducing the influence of power-law index, plate aspect ratio, temperature difference, elastic foundation parameters, and side-to-thickness ratio on the static behavior of S-FGM plates are investigated.

Keywords

refined plate theory; moisture concentration; thermal effect; functionally graded plate; variable elastic foundation;

Citations & Related Records

Times Cited By KSCI : 39 (Citation Analysis)

Reference
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1435-5663	(2019) Engineering with Computers On modeling of wave propagation in a thermally affected GNP-reinforced imperfect nanocomposite shell / (1435-5663)
1793-6764	(2019) International Journal of Structural Stability and Dynamics Exact solution for Free Vibration and Buckling of sandwich S-FGM Plates on Pasternak Elastic Foundation with Various Boundary Conditions / (1793-6764)
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
1661-9897	(2018) Journal of Nano Research Buckling Analysis of Orthotropic Nanoscale Plates Resting on Elastic Foundations / 55 (1661-9897) , 42
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1530-7972	(2018) Journal of Sandwich Structures & Materials Nonlinear static response analysis of sandwich beams using the Refined Zigzag Theory / (1530-7972) , 109963621879538
8	(2018) Microsystem Technologies Axial magnetic field effects on dynamic characteristics of embedded multiphase nanocrystalline nanobeams / 24 (8) , 3521
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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)
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
8	(2018) Journal of Thermal Stresses Thermodynamic effect on the bending response of elastic foundation FG plate by using a novel four variable refined plate theory / 41 (8) , 1042
2191-4281	(2019) Arabian Journal for Science and Engineering Field Study on the Soil Water Characteristics of Shallow Layers on Red Clay Slopes and Its Application in Stability Analysis / (2191-4281)
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
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 Nonlocal thermo-electro-mechanical vibration analysis of smart curved FG piezoelectric Timoshenko nanobeam / 20 (3) , 351
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
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
5	(2016) Earthquakes and structures A simple quasi-3D sinusoidal shear deformation theory with stretching effect for carbon nanotube-reinforced composite beams resting on elastic foundation / 13 (5) , 509
4	(2017) 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
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
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
2	(2016) Geomechanics & engineering Vibration analysis of thick orthotropic plates using quasi 3D sinusoidal shear deformation theory / 16 (2) , 141
5	(2016) Structural engineering and mechanics : An international journal Post-buckling analysis of shear-deformable composite beams using a novel simple two-unknown beam theory / 65 (5) , 621
1	(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	(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
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) Steel & Composite structures : an international journal Nonlocal free vibration analysis of a doubly curved piezoelectric nano shell / 27 (4) , 479
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
4	(2018) Structural engineering and mechanics : An international journal Three dimensional finite elements modeling of FGM plate bending using UMAT / 66 (4) , 487
5	(2016) Steel & Composite structures : an international journal Large deflection analysis of a fiber reinforced composite beam / 27 (5) , 567
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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	(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
6	(2018) Smart structures and systems Localisation of embedded water drop in glass composite using THz spectroscopy / 21 (6) , 751
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
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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
6	(2018) Structural engineering and mechanics : An international journal Nonlinear finite element solutions of thermoelastic flexural strength and stress values of temperature dependent graded CNT-reinforced sandwich shallow shell structure / 67 (6) , 565
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
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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
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5	(2018) Wind & structures Dynamic and bending analysis of carbon nanotube-reinforced composite plates with elastic foundation / 27 (5) , 311
7	(2019) Journal of thermal stresses Thermo-hygro-mechanical bending and vibration of functionally graded material microbeams with microporosity defect / 42 (7) , 815
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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
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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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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
4	(2016) Structural engineering and mechanics : An international journal Influence of shear preload on wave propagation in small-scale plates with nanofibers / 70 (4) , 407
3	(2016) Advances in concrete construction Improved analytical method for adhesive stresses in plated beam: Effect of shear deformation / 7 (3) , 151
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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
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
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10	(2016) Journal of the Brazilian Society of Mechanical Sciences and Engineering Bending, buckling and vibration of shear deformable beams made of three-dimensional graphene foam material / 41 (10) , 422
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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
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
24	(2019) Arabian journal of geosciences Effect of variable elastic foundations on static behavior of functionally graded plates using sinusoidal shear deformation / 12 (24) , 809
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
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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) Steel & Composite structures : an international journal Investigation of thermal buckling properties of ceramic-metal FGM sandwich plates using 2D integral plate model / 33 (6) , 805
6	(2016) Wind & structures On the modeling of dynamic behavior of composite plates using a simple nth-HSDT / 29 (6) , 371
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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
1	(2016) Journal of vibration engineering & technologies Nonlinear Vibration Analysis of Sigmoid Functionally Graded Sandwich Plate with Ceramic-FGM-Metal Layers / 8 (1) , 67
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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
1	(2020) Steel & Composite structures : an international journal Thermal buckling of nonlocal clamped exponentially graded plate according to a secant function based refined theory / 35 (1) , 147
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) Coupled systems mechanics Mixture rule for studding the environmental pollution reduction in concrete structures containing nanoparticles / 9 (3) , 281
6	(2016) Smart structures and systems Active vibration control of nonlinear stiffened FG cylindrical shell under periodic loads / 25 (6) , 643
6	(2016) Smart structures and systems Dynamic behavior of axially functionally graded simply supported beams / 25 (6) , 669
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
3	(2016) Smart structures and systems Exact solution for nonlinear vibration of clamped-clamped functionally graded buckled beam / 26 (3) , 361
11	(2016) European physical journal Plus 2D magnetic field effect on the thermal buckling of metal foam nanoplates reinforced with FG-GPLs lying on Pasternak foundation in humid environment / 135 (11) , 910
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
3	(2016) The journal of sandwich structures & materials Thermodynamic behavior of functionally graded sandwich plates resting on different elastic foundation and with various boundary conditions / 23 (3) , 1028
None	(2016) Nano hybrids and composites Stress Distribution on the Cracked Sandwich Plate with Non Linear Thermal and Moisture Concentration / 32 (None) , 45
5	(2021) The journal of sandwich structures & materials Analysis of porosity effect on free vibration and buckling responses for sandwich sigmoid function based functionally graded material plate resting on Pasternak foundation using Galerkin Vlasov’ / 23 (5) , 1717
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
3	(2016) Steel & Composite structures : an international journal Dispersion of waves characteristics of laminated composite nanoplate / 40 (3) , 355