Static and Stability Characteristics of Geometrically Imperfect FGM Plates Resting on Pasternak Elastic Foundation with Microstructural Defect

摘要

The static and stability characteristics of geometrically imperfect functionally graded material (FGM) plate with a microstructural defect (porosity) resting on Pasternak elastic foundation are investigated. The formulations are based on hybrid higher-order shear and normal deformation theory. A new mathematical expression is presented to accomplish the effective material properties of the material with porosity inclusion. A generic function is employed to model various modes of geometric imperfection. The equations of motion are derived using variational principle. Convergence and comparison studies with reported results ensure the reliability and accuracy of the present solution. Influence of geometric imperfection, porosity, foundation parameters, and boundary constraints on the static and stability behavior of FGM plate is examined. The results reflect that the geometric imperfection and porosity have a significant influence on the structural response of FGM plate.