Differential quadrature thermal buckling analysis of general quadrilateral orthotropic auxetic FGM plates on elastic foundations

Abstract

Majority of the available research on buckling analysis of the plates, has been devoted to plates with well-behaved configurations, e.g., rectangular or circular geometries. In the present research, thermal buckling of general quadrilateral plates fabricated from heterogeneous, orthotropic, and auxetic (with negative Poisson ratio) materials resting on elastic Winkler-Pasternak elastic media is investigated. Edges of the plate may be either simply supported or clamped. Thus, the problem is a quite general one, from the material, boundary conditions, and to some extent, geometry points of view and may cover wide ranges of the practical applications, as special cases. The stability equations are derived through transformation of the governing equations of the plate from the geometric rectangular Cartesian coordinates to the computational natural coordinates and discretization of the resulting equations by means of the differential quadratic method. Buckling analysis has been accomplished through investigation of the pre-buckling and buckling onset situations. Finally, effects of the skew angles of the general quadrilateral plate, heterogeneity index, orthotropy angle, edge condition, foundation stiffness, and auxeticity of the material on the buckling temperature rises are investigated comprehensively.