[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.12989/sem.2016.57.5.837

An efficient shear deformation theory for wave propagation of functionally graded material plates

Boukhari, Ahmed (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department)
Atmane, Hassen Ait (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)
Adda Bedia, E.A. (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

Structural Engineering and Mechanics / v.57, no.5, 2016 , pp. 837-859 More about this Journal

Abstract

An efficient shear deformation theory is developed for wave propagation analysis of an infinite functionally graded plate in the presence of thermal environments. By dividing the transverse displacement into bending and shear parts, the number of unknowns and governing equations of the present theory is reduced, and hence, makes it simple to use. The thermal effects and temperature-dependent material properties are both taken into account. The temperature field is assumed to be a uniform distribution over the plate surface and varied in the thickness direction only. Material properties are assumed to be temperature-dependent, and graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents. The governing equations of the wave propagation in the functionally graded plate are derived by employing the Hamilton's principle and the physical neutral surface concept. There is no stretching.bending coupling effect in the neutral surface-based formulation, and consequently, the governing equations and boundary conditions of functionally graded plates based on neutral surface have the simple forms as those of isotropic plates. The analytic dispersion relation of the functionally graded plate is obtained by solving an eigenvalue problem. The effects of the volume fraction distributions and temperature on wave propagation of functionally graded plate are discussed in detail. It can be concluded that the present theory is not only accurate but also simple in predicting the wave propagation characteristics in the functionally graded plate. The results carried out can be used in the ultrasonic inspection techniques and structural health monitoring.

Keywords

wave propagation; functionally graded plate; thermal effects; efficient shear deformation theory; neutral surface position;

Citations & Related Records

Times Cited By KSCI : 37 (Citation Analysis)

Reference
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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 Free vibrations of laminated composite plates using a novel four variable refined plate theory / 24 (5) , 603
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
4	(2017) Structural engineering and mechanics : An international journal An original single variable shear deformation theory for buckling analysis of thick isotropic plates / 63 (4) , 439
5	(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
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
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	(2016) Advances in nano research Forced vibration analysis of cracked functionally graded microbeams / 6 (1) , 39
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
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
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
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
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 Large deflection analysis of a fiber reinforced composite beam / 27 (5) , 567
5	(2016) Steel & Composite structures : an international journal A novel four-unknown quasi-3D shear deformation theory for functionally graded plates / 27 (5) , 599
6	(2018) Structural engineering and mechanics : An international journal Mechanical buckling analysis of hybrid laminated composite plates under different boundary conditions / 66 (6) , 761
6	(2018) Structural engineering and mechanics : An international journal A new quasi-3D higher shear deformation theory for vibration of functionally graded carbon nanotube-reinforced composite beams resting on elastic foundation / 66 (6) , 771
1	(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
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
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	(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	(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) 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
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
4	(2016) Advances in nano research Critical buckling loads of carbon nanotube embedded in Kerr's medium / 6 (4) , 339
None	(2016) Shock and vibration A Semianalytical Three-Dimensional Elasticity Solution for Vibrations of Orthotropic Plates with Arbitrary Boundary Conditions / 2019 (None) , 1
1	(2016) 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
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
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
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) Journal of nano research Static and Dynamic Behavior of Nanotubes-Reinforced Sandwich Plates Using (FSDT) / 57 (None) , 117
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
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
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
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
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	(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
5	(2019) Advances in nano research Vibration analysis of nonlocal porous nanobeams made of functionally graded material / 7 (5) , 351
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
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
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) 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
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) 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) Structural engineering and mechanics : An international journal A refined HSDT for bending and dynamic analysis of FGM plates / 74 (1) , 105
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
3	(2016) Engineering with computers Thermal vibration analysis of embedded graphene oxide powder-reinforced nanocomposite plates / 36 (3) , 879
3	(2016) Engineering with computers Application of Chebyshev-Ritz method for static stability and vibration analysis of nonlocal microstructure-dependent nanostructures / 36 (3) , 953
4	(2016) Engineering with computers Wave dispersion characteristics of fluid-conveying magneto-electro-elastic nanotubes / 36 (4) , 1687
4	(2016) Waves in random and complex media Modeling of memory-dependent derivative in a functionally graded plate / 31 (4) , 618
2	(2021) Advances in nano research Free vibration analysis of carbon nanotube RC nanobeams with variational approaches / 11 (2) , 157
10	(2021) Journal of thermal stresses Guided wave propagation of porous functionally graded plates: The effect of thermal loadings / 44 (10) , 1289