[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.12989/scs.2016.20.4.889

Mechanical and hygrothermal behaviour of functionally graded plates using a hyperbolic shear deformation theory

Laoufi, Imene (Laboratoire des Materiaux et Hydrologie, Universite de Sidi Bel Abbes)
Ameur, Mohammed (Laboratoire des Materiaux et Hydrologie, Universite de Sidi Bel Abbes)
Zidi, Mohamed (Laboratoire des Materiaux et Hydrologie, Universite de Sidi Bel Abbes)
Bedia, El Abbes Adda (Laboratoire des Materiaux et Hydrologie, Universite de Sidi Bel Abbes)
Bousahla, Abdelmoumen Anis (Laboratoire des Materiaux et Hydrologie, Universite de Sidi Bel Abbes)

Publication Information

Steel and Composite Structures / v.20, no.4, 2016 , pp. 889-911 More about this Journal

Abstract

Using the hyperbolic shear deformation plate model and including plate-foundation interaction (Winkler and Pasternak model), an analytical method in order to determine the deflection and stress distributions in simply supported rectangular functionally graded plates (FGP) subjected to a sinusoidal load, a temperature and moisture fields. The present theory exactly satisfies stress boundary conditions on the top and the bottom of the plate. No transversal shear correction factors are needed because a correct representation of the transversal shearing strain is given. Materials properties of the plate (elastic, thermal and moisture expansion coefficients) 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. Numerical examples are presented and discussed for verifying the accuracy of the present theory in predicting the bending response of FGM plates under sinusoidal load and a temperature field as well as moisture concentration. The effects of material properties, temperature, moisture, plate aspect ratio, side-to-thickness ratio, ratio of elastic coefficients (ceramic-metal) and three distributions for both temperature and moisture on deflections and stresses are investigated.

Keywords

FG plates; elastic foundation; hyperbolic shear deformation; hygro-thermal load;

Citations & Related Records

Times Cited By KSCI : 5 (Citation Analysis)

Reference
Cited By KSCI

1	Ait Amar Meziane, M., Abdelaziz, H.H. and Tounsi, A. (2014), "An efficient and simple refined theory for buckling and free vibration of exponentially graded sandwich plates under various boundary conditions", J. Sandw. Struct. Mater., 16(3), 293-318. DOI
2	Ait Atmane, H., Tounsi, A. and Bernard, F. (2016), "Effect of thickness stretching and porosity on mechanical response of a functionally graded beams resting on elastic foundations", Int. J. Mech. Mater. Des. [In Press]
3	Ait Yahia, S., Ait Atmane, H., Houari, M.S.A. and Tounsi, A. (2015), "Wave propagation in functionally graded plates with porosities using various higher-order shear deformation plate theories", Struct. Eng. Mech., Int. J., 53(6), 1143-1165. DOI
4	Bahrami, A. and Nosier, A. (2007), "Interlaminar hygrothermal stresses in laminated plates", Int. J. Solids Struct., 44(25-26), 8119-8142. DOI
5	Belabed, Z., Houari, M.S.A., Tounsi, A., Mahmoud, S.R. and Anwar Beg, O. (2014), "An efficient and simple higher order shear and normal deformation theory for functionally graded material (FGM) plates", Composites: Part B, 60, 274-283. DOI
6	Benachour, A., Tahar, H.D., Ait Atmane, H., Tounsi, A. and Meftah, S.A. (2011), "A four variable refined plate theory for free vibrations of functionally graded plates with arbitrary gradient", Composites, Part B, 42(6), 1386-1394. DOI
7	Bennoun, M., Houari, M.S.A. and Tounsi, A. (2016), "A novel five variable refined plate theory for vibration analysis of functionally graded sandwich plates", Mech. Adv. Mater. Struct., 23(4), 423-431. DOI
8	Benkhedda, A., Tounsi, A. and Adda bedia, E.A. (2008), "Effect of temperature and humidity on transient hygrothermal stresses during moisture desorption in laminated composite plates", Compos. Struct., 82(4), 629-635. DOI
9	Bessaim, A., Houari, M.S.A., Tounsi, A., Mahmoud, S.R. and Adda Bedia, E.A. (2013), "A new higherorder shear and normal deformation theory for the static and free vibration analysis of sandwich plates with functionally graded isotropic face sheets", J. Sandw. Struct. Mater., 15(6), 671-703. DOI
10	Birman, V. and Byrd, L.W. (2007), "Modeling and analysis of functionally graded materials and structures", Appl. Mech. Rev., 60(1-6), 195-216. DOI
11	Bouchafa, A., Bachir Bouiadjra, M., Houari, M.S.A. and Tounsi, A. (2015), "Thermal stresses and deflections of functionally graded sandwich plates using a new refined hyperbolic shear deformation theory", Steel Compos. Struct., Int. J., 18(6), 1493-1515. DOI
12	Bouderba, B., Houari, M.S.A. and Tounsi, A. (2013), "Thermomechanical bending response of FGM thick plates resting on Winkler-Pasternak elastic foundations", Steel Compos. Struct., Int. J., 14(1), 85-104. DOI
13	Bourada, M., Tounsi, A., Houari, M.S.A. and Adda Bedia, E.A. (2012), "A new four-variable refined plate theory for thermal buckling analysis of functionally graded sandwich plates", J. Sandw. Struct. Mater., 14(1), 5-33. DOI
14	Bourada, M., Kaci, A., Houari, M.S.A. and Tounsi, A. (2015), "A new simple shear and normal deformations theory for functionally graded beams", Steel Compos. Struct., Int. J., 18(2), 409-423. DOI
15	Hamidi, A., Houari, M.S.A., Mahmoud, S.R. and Tounsi, A. (2015), "A sinusoidal plate theory with 5-unknowns and stretching effect for thermomechanical bending of functionally graded sandwich plates", Steel Compos. Struct., Int. J., 18(1), 235-253. DOI
16	Bousahla, A.A., Houari, M.S.A., Tounsi, A. and Adda Bedia, E.A. (2014), "A novel higher order shear and normal deformation theory based on neutral surface position for bending analysis of advanced composite plates", Int. J. Comput. Method., 11(6), 1350082. DOI
17	Dai, K.Y., Liu, G.R., Han, X. and Lim, K.M. (2005), "Thermomechanical analysis of functionally graded material (FGM) plates using element-free Galerkin method", Comput. Struct., 83(17-18), 1487-1502. DOI
18	Fekrar, A., Houari, M.S.A., Tounsi, A. and Mahmoud, S.R. (2014), "A new five-unknown refined theory based on neutral surface position for bending analysis of exponential graded plates", Meccanica, 49(4), 795-810. DOI
19	Hebali, H., Tounsi, A., Houari, M.S.A., Bessaim, A. and Adda Bedia, E.A. (2014), "A new quasi-3D hyperbolic shear deformation theory for the static and free vibration analysis of functionally graded plates", ASCE J. Eng. Mech., 140(2), 374-383. DOI
20	Houari, M.S.A., Tounsi, A. and Anwar Beg, O. (2013), "Thermoelastic bending analysis of functionally graded sandwich plates using a new higher order shear and normal deformation theory", Int. J. Mech. Sci., 76, 467-479.
21	Javaheri, R. and Eslami, M.R. (2002), "Thermal buckling of functionally graded plates", AIAA J., 40 162-168. DOI
22	Khalfi, Y., Houari, M.S.A. and Tounsi, A. (2014), "A refined and simple shear deformation theory for thermal buckling of solar functionally graded plates on elastic foundation", Int. J. Comput. Method., 11(5), 1350077. DOI
23	Liu, G.R., Han, X. and Lam, K.Y. (2001), "An integration technique for evaluating confluent hypergeometric functions and its application to functionally graded materials", Comput. Struct., 79(10), 1039-1047. DOI
24	Koizumi, M. (1993), "The concept of FGM, ceramic transactions", Function. Grad. Mater., 34, 3-10.
25	Liu, G.R. and Tani, J. (1994), "Surface-waves in functionally gradient piezoelectric plates", J. Vib. Acoust., 116(4), 440-448. DOI
26	Liu, G.R., Han, X. and Lam, K.Y. (1999), "Stress waves in functionally gradient materials and its use for material characterization", Compos. Part B-Eng., 30(4), 383-394. DOI
27	Liu, G.R., Dai, K.Y., Han, X. and Ohyoshi, T. (2003), "Dispersion of waves and characteristic wave surfaces in functionally graded piezoelectric plates", J. Sound Vib., 268(1), 131-147. DOI
28	Lo, S.H., Zhen, W., Cheung, Y.K. and Wanji, C. (2010), "Hygrothermal effects on multilayered composite plates using a refined higher order theory", Compos. Struct., 92(3), 633-646. DOI
29	Mahi, A., Adda Bedia, E.A. and Tounsi, A. (2015), "A new hyperbolic shear deformation theory for bending and free vibration analysis of isotropic, functionally graded, sandwich and laminated composite plates", Appl. Math. Model., 39(9), 2489-2508. DOI
30	Patel, B.P., Ganapathi, M. and Makhecha, D.P. (2002), "Hygrothermal effects on the structural behavior of thick composite laminates using higher-order theory", Compos. Struct., 56(1), 25-34. DOI
31	Rao, V.V.S. and Sinha, P.K. (2004), "Bending characteristic of thick multidirectional composite plates under hygrothermal environment", J. Reinf. Plast. Compos., 23(14), 1481-1495. DOI
32	Suresh, S. and Mortensen, A. (1998), Fundamentals of Functionally Graded Materials, Institute of Materials (IOM) Communications Limited, London, UK.
33	Reddy, J.N. (2000), "Analysis of functionally graded plates", Int. J. Numer. Method. Eng., 47(1-3), 663-684. DOI
34	Said, A., Ameur, M., Bousahla, A.A. and Tounsi, A. (2014), "A new simple hyperbolic shear deformation theory for functionally graded plates resting on Winkler-Pasternak elastic foundations", Int. J. Comput. Methods, 11(6), 1350098. DOI
35	Shen, H.S. (2001), "Hygrothermal effects on the postbuckling of shear deformable laminated plates", Int. J. Mech. Sci., 43(5), 1259-1281. DOI
36	Tani, J. and Liu, G.R. (1993), "SH surface-waves in functionally gradient piezoelectric plates", JSME Int. J Series A-Mech. Mater. Eng., 36(2), 152-155. DOI
37	Thai, H.T. and Choi, D.H. (2013), "A simple first-order shear deformation theory for the bending and free vibration analysis of functionally graded plates", Compos. Struct., 101, 332-340. DOI
38	Tounsi, A., Houari, M.S.A., Benyoucef, S. and Adda Bedia, E.A. (2013), "A refined trigonometric shear deformation theory for thermoelastic bending of functionally graded sandwich plates", Aerosp. Sci. Technol., 24(1), 209-220. DOI
39	Wang, X., Dong, K. and Wang, X.Y. (2005), "Hygrothermal effect on dynamic interlaminar stresses in laminated plates with piezoelectric actuators", Compos. Struct., 71(2), 220-228. DOI
40	Whitney, J.M. and Ashton, J.E. (1971), "Effect of environment on the elastic response of layered composite plates", AIAA J., 9(9), 1708-1713. DOI
41	Zidi, M., Tounsi, A., Houari, M.S.A., Adda Bedia, E.A. and Anwar Beg, O. (2014), "Bending analysis of FGM plates under hygro-thermo-mechanical loading using a four variable refined plate theory", Aerosp. Sci. Technol., 34, 24-34. DOI
42	Zenkour, A.M. (2006), "Generalized shear deformation theory for bending analysis of functionally graded plates", Appl. Math. Model., 30(1), 67-84. DOI
43	Zenkour, A.M. (2010), "Hygro-thermo-mechanical effects on FGM plates resting on elastic foundations", Compos. Struct., 93, 234-238. DOI
44	Zhang, W., Hao, Y.X. and Yang, J. (2012), "Nonlinear dynamics of FGM circular cylindrical shell with clamped-clamped edges", Compos. Struct., 94(3), 1075-1086. DOI

4	Youcef Beldjelili. (2016) Smart Structures and Systems Hygro-thermo-mechanical bending of S-FGM plates resting on variable elastic foundations using a four-variable trigonometric plate theory / 18 (4) , 755
2	Hayat Saidi. (2016) Geomechanics and Engineering A simple hyperbolic shear deformation theory for vibration analysis of thick functionally graded rectangular plates resting on elastic foundations / 11 (2) , 289
1	Merbouha Barka. (2016) Steel and Composite Structures Thermal post-buckling behavior of imperfect temperature-dependent sandwich FGM plates resting on Pasternak elastic foundation / 22 (1) , 91
3	(2016) Advances in materials research : AMR An analytical approach for buckling of functionally graded plates / 5 (3) , 141
1	(2016) Geomechanics & engineering A novel quasi-3D hyperbolic shear deformation theory for functionally graded thick rectangular plates on elastic foundation / 12 (1) , 9
3	(2016) Steel & Composite structures : an international journal Non-linear study of mode II delamination fracture in functionally graded beams / 23 (3) , 263
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
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	(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
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
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
2	(2016) Geomechanics & engineering Vibration analysis of thick orthotropic plates using quasi 3D sinusoidal shear deformation theory / 16 (2) , 141
6	(2016) Geomechanics & engineering Novel quasi-3D and 2D shear deformation theories for bending and free vibration analysis of FGM plates / 14 (6) , 519
5	(2019) Coupled systems mechanics Hygro-thermal post-buckling analysis of a functionally graded beam / 8 (5) , 459
1	(2016) Wind & structures Dynamic and wave propagation investigation of FGM plates with porosities using a four variable plate theory / 28 (1) , 49
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
5	(2019) Steel & Composite structures : an international journal Thermoelastic static and vibrational behaviors of nanocomposite thick cylinders reinforced with graphene / 31 (5) , 529
1	(2020) Computers & concrete A study on the structural behaviour of functionally graded porous plates on elastic foundation using a new quasi-3D model: Bending and free vibration analysis / 25 (1) , 37
3	(2020) Coupled systems mechanics Bending behaviour of FGM plates via a simple quasi-3D and 2D shear deformation theories / 9 (3) , 237
1	(2016) Applied sciences 3D Stress Analysis of Multilayered Functionally Graded Plates and Shells under Moisture Conditions / 12 (1) , 512