Hygro-thermo-mechanical effects on FGM plates resting on elastic foundations

A hygrothermal bending analysis is presented for a functionally graded material (FGM) plate resting on elastic foundations. The elastic coefficients, thermal coefficient and moisture expansion coefficient of the plate are assumed to be graded in the thickness direction. The equilibrium equations are given and a number of examples are solved to illustrate bending response of Titanium/Zirconia plates subjected to hygro-thermo-mechanical effects and resting on elastic foundations. The influences played by many parameters are investigated.

[1]  A. Bahrami,et al.  Interlaminar hygrothermal stresses in laminated plates , 2007 .

[2]  Hui-Shen Shen.  Nonlinear bending of Reissner–Mindlin plates with free edges under transverse and in-plane loads and resting on elastic foundations , 1999 .

[3]  Ryszard Buczkowski,et al.  Finite element modelling of thick plates on two‐parameter elastic foundation , 2001 .

[4]  A. El-Zafrany,et al.  A new fundamental solution for boundary element analysis of thin plates on Winkler foundation , 1995 .

[5]  James M. Whitney,et al.  Effect of Environment on the Elastic Response of Layered Composite Plates , 1971 .

[6]  Ashraf M. Zenkour,et al.  The refined sinusoidal theory for FGM plates on elastic foundations , 2009 .

[7]  A. Zenkour.  Generalized shear deformation theory for bending analysis of functionally graded plates , 2006 .

[8]  F.-L. Liu,et al.  Rectangular thick plates on winkler foundation : differential quadrature element solution , 2000 .

[9]  S. Lo,et al.  Hygrothermal effects on multilayered composite plates using a refined higher order theory , 2010 .

[10]  Keiichiro Sonoda,et al.  Rectangular mindlin plates on elastic foundations , 1989 .

[11]  George Z. Voyiadjis,et al.  THICK RECTANGULAR PLATES ON AN ELASTIC FOUNDATION , 1986 .

[12]  A. Tounsi,et al.  Effect of temperature and humidity on transient hygrothermal stresses during moisture desorption in laminated composite plates , 2008 .

[13]  G. Bezine,et al.  A new boundary element method for bending of plates on elastic foundations , 1988 .

[14]  Somchai Chucheepsakul,et al.  Plates on two-parameter elastic foundations with nonlinear boundary conditions by the boundary element method , 2003 .

[15]  B. P. Patel,et al.  Hygrothermal effects on the structural behaviour of thick composite laminates using higher-order theory , 2002 .