Mechanical and thermal postbuckling of higher order shear deformable functionally graded plates on elastic foundations

• Published in: Composite structures Vol. 93; no. 11; pp. 2874 - 2881
• Main Authors: Duc, Nguyen Dinh, Tung, Hoang Van
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Ltd 01.10.2011; Elsevier
• Subjects: Buckling; Elastic deformation; Elastic foundation; Exact sciences and technology; Foundations; Functionally Graded Materials; Functionally gradient materials; Fundamental areas of phenomenology (including applications); Galerkin methods; Higher order shear deformation theory; Imperfection; Mathematical analysis; Physics; Plates; Postbuckling; Solid mechanics; Static elasticity (thermoelasticity...); Structural and continuum mechanics; Elastic foundation; Imperfection; Higher order shear deformation theory; Functionally Graded Materials; Postbuckling; Form defect; Displacement(deformation); Thick plate; Modeling; Functionnally graded material; Size effect; Buckling; Elastic foundations; Power law; Geometrical properties; Thermomechanical properties; Simple support; Thermal load; Stress path; Exact solution; Critical load; Galerkin method; Von Kárman equation; Non linear effect; Pasternak foundation
• ISSN: 0263-8223; 1879-1085
• DOI: 10.1016/j.compstruct.2011.05.017

This paper presents an analytical investigation on the buckling and postbuckling behaviors of thick functionally graded plates resting on elastic foundations and subjected to in-plane compressive, thermal and thermomechanical loads. Material properties are assumed to be temperature independent, and graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of constituents. The formulations are based on higher order shear deformation plate theory taking into account Von Karman nonlinearity, initial geometrical imperfection and Pasternak type elastic foundation. By applying Galerkin method, closed-form relations of buckling loads and postbuckling equilibrium paths for simply supported plates are determined. Analysis is carried out to show the effects of material and geometrical properties, in-plane boundary restraint, foundation stiffness and imperfection on the buckling and postbuckling loading capacity of the plates.