Buckling analysis of functionally graded plates under thermal loadings using the finite strip method

In the present article, a finite strip method is applied for analyzing the buckling behavior of rectangular functionally graded plates (FGPs) under thermal loadings. The material properties of FGPs are assumed to vary continuously through the thickness of the plate, according to the simple power law distribution. Derivations of equations are based on the classical plate theory (CPT). The fundamental equations for rectangular plates of functionally graded material (FGM) are obtained by discretizing the plate into some finite strips. The solution is obtained by the minimization of the total potential energy and solving the corresponding eigenvalue problem. In addition, numerical results for a variety of functionally graded plates with different boundary conditions are presented and compared with those available in the literature. Moreover, the effects of geometrical parameters and material properties on the FGPs' buckling temperature difference are determined and discussed.

[1]  S. Sridharan,et al.  A finite strip method for the buckling of plate structures under arbitrary loading , 1978 .

[2]  J. Loughlan,et al.  The buckling performance of composite stiffened panel structures subjected to combined in-plane compression and shear loading , 1994 .

[3]  K. Y. Dai,et al.  A meshfree radial point interpolation method for analysis of functionally graded material (FGM) plates , 2004 .

[4]  R J Plank,et al.  Critical Buckling of Some Stiffened Panels in Compression, Shear and Bending , 1974 .

[5]  J. Loughlan The buckling of composite stiffened box sections subjected to compression and bending , 1996 .

[6]  Jie Yang,et al.  Postbuckling of piezoelectric FGM plates subject to thermo-electro-mechanical loading , 2003 .

[7]  Hamid Reza Ovesy,et al.  An exact finite strip for the calculation of relative post-buckling stiffness of isotropic plates , 2009 .

[8]  W. J. Stroud,et al.  Buckling loads of stiffened panels subjected to combined longitudinal compression and shear: Results obtained with PASCO, EAL, and STAGS computer programs , 1984 .

[9]  A. Naderi,et al.  On pre-buckling configuration of functionally graded Mindlin rectangular plates , 2010 .

[10]  Hamid Reza Ovesy,et al.  An exact finite strip for the calculation of relative post-buckling stiffness of I-section struts , 2008 .

[11]  R. J. Plank,et al.  Buckling under combined loading of thin, flat‐walled structures by a complex finite strip method , 1974 .

[12]  H. Ovesy,et al.  The application of an exact finite strip to the buckling of symmetrically laminated composite rectangular plates and prismatic plate structures , 2009 .

[13]  Wing Kam Liu,et al.  Reproducing Kernel Particle Methods for large deformation analysis of non-linear structures , 1996 .

[14]  Romesh C. Batra,et al.  TRANSIENT THERMOELASTIC DEFORMATIONS OF A THICK FUNCTIONALLY GRADED PLATE , 2004 .

[15]  Hui-Shen Shen,et al.  Non-linear analysis of functionally graded plates under transverse and in-plane loads , 2003 .

[16]  M. Niino,et al.  Overview of FGM Research in Japan , 1995 .

[17]  M. A. McCarthy,et al.  Analysis of thick functionally graded plates by using higher-order shear and normal deformable plate theory and MLPG method with radial basis functions , 2007 .

[18]  Wolfgang A. Kaysser,et al.  FGM Research Activities in Europe , 1995 .

[19]  W. Hao,et al.  Numerical simulations of large deformation of thin shell structures using meshfree methods , 2000 .

[20]  Oden,et al.  An h-p adaptive method using clouds , 1996 .

[21]  Shaker A. Meguid,et al.  Thermomechanical postbuckling analysis of moderately thick functionally graded plates and shallow shells , 2005 .

[22]  A. Saidi,et al.  Thermal buckling analysis of moderately thick functionally graded annular sector plates , 2010 .

[23]  Y. K. Cheung,et al.  FINITE STRIP METHOD IN STRUCTURAL ANALYSIS , 1976 .

[24]  H. Ovesy,et al.  LARGE DEFLECTION FINITE STRIP ANALYSIS OF FUNCTIONALLY GRADED PLATES UNDER PRESSURE LOADS , 2007 .

[25]  T. Belytschko,et al.  Analysis of thin shells by the Element-Free Galerkin method , 1996 .

[26]  M. R. Eslami,et al.  Buckling of Functionally Graded Plates under In-plane Compressive Loading , 2002 .

[27]  V. Birman Buckling of Functionally Graded Hybrid Composite Plates , 1995 .

[28]  D. J. Dawe,et al.  A note on finite strip buckling analysis of composite plate structures , 1996 .

[29]  M. Sobhy,et al.  Thermal buckling of various types of FGM sandwich plates , 2010 .

[30]  Jacob Aboudi,et al.  Buckling analysis of functionally graded plates subjected to uniaxial loading , 1997 .

[31]  Abdullah H. Sofiyev,et al.  Buckling analysis of FGM circular shells under combined loads and resting on the Pasternak type elastic foundation , 2010 .

[32]  M. R. Eslami,et al.  THERMAL BUCKLING OF FUNCTIONALLY GRADED PLATES BASED ON HIGHER ORDER THEORY , 2002 .

[33]  K. M. Liew,et al.  Thermal Post-Buckling of Laminated Plates Comprising Functionally Graded Materials With Temperature-Dependent Properties , 2004 .

[34]  Hamid Reza Ovesy,et al.  Geometric non-linear analysis of composite laminated plates with initial imperfection under end shortening, using two versions of finite strip method , 2005 .

[35]  M. Koizumi FGM activities in Japan , 1997 .