Postbuckling analysis of functionally graded plates subject to compressive and thermal loads
Postbuckling analysis of functionally graded ceramicmetal plates under edge compression and temperature field conditions is presented using the element-free kp-Ritz method. The first-order shear deformation plate theory is employed to account for the transverse shear strains, and the von Krmn-type nonlinear straindisplacement relationship is adopted. The effective material properties of the functionally graded plates are assumed to vary through their thickness direction according to the power-law distribution of the volume fractions of the constituents. The displacement fields are approximated in terms of a set of mesh-free kernel particle functions. Bending stiffness is estimated using a stabilised conforming nodal integration approach, and, to eliminate the membrane and shear locking effects for thin plates, the shear and membrane terms are evaluated using a direct nodal integration technique. The solutions are obtained using the arclength iterative algorithm in combination with the modified NewtonRaphson method. The effects of the volume fraction exponent, boundary conditions and temperature distribution on postbuckling behaviour are examined.
functionally graded plates functionally graded materials thermal and postbuckling analysis ritz method von krmn plates