Thermomechanically induced post-buckling analysis of functionally graded material plates with circular cut-outs resting on elastic foundations

Abstract

Post-buckling analysis of functionally graded material (FGM) plates resting on Winkler and Pasternak elastic foundations subjected to thermomechanical loadings with circular cut-outs at centre and random material properties is presented. The material properties of each constituent’s materials, volume fraction index, thermal expansion coefficients, foundation stiffness parameters and thermal conductivities are taken as independent basic random input variables. The basic formulation is based on applying Reddy’s higher order shear deformation theory, which requires C1 continuous element approximation. A modified form C0 continuity is applied in the present investigation. A serum-free expansion medium with mean-centred first-order regular perturbation technique for composite plates is extended for FGM plates to solve the random eigenvalue problem. Typical numerical results are presented to examine the second-order statistics for effect of the volume fractions index, plate length-to-thickness ratios, plate aspect ratios, types of loadings, amplitude ratios, support conditions and various shape and size of holes with random thermomechanical properties. The results obtained by the present solution approach are validated with published papers and the robust method of simulation. It is found that the laminates with round cuts (FGM plates resting on Winkler and Pasternak elastic foundations) have a significant influence on the post-buckling response under Thermomechanical loading conditions. Present investigations are useful for the applications and further research.

Nonlinear thermomechanical buckling of sandwich FGM oblique stiffened plates with nonlinear effect of elastic foundation

“…Substituting equation (27) into the first equations of equation ( 26), the load-deflection relation is received by…”

“…Using the quasi-3D shear deformation theories, Zarga et al 24 and Mahmoudi et al 25 discussed the thermomechanical behavior of sandwich FGM plates with and without the Pasternak’s elastic foundation. Effect of hygrothermal environment on the dynamic stability behavior of sandwich FGM plates was investigated by Hellal et al 26 Kumar 27 presented the thermomechanical postbuckling behavior of FGM plates with random material properties and circular cutouts at center, taking into account the plate–foundation interaction modeled by Pasternak’s elastic foundation model.…”