3D energy-based finite element elasticity approach for shear postbuckling analysis of functionally graded plates on elastic foundations. (15th September 2016)

• Record Type: Journal Article
• Authors: Shariyat, M.; Asemi, K.
• Is Part Of: Composite structures. Volume 152(2016)
• Page Start: 579
• Page End: 591
• Publication Date: 2016-09-15
• Subjects: Shear post-buckling -- Three-dimensional finite element -- Theory of elasticity -- FGM plate -- Elastic foundation -- Arc length method; Composite construction -- Periodicals; Composites -- Périodiques; 624.18
• DOI: 10.1016/j.compstruct.2016.05.057
• Languages: English
• ISSNs: 0263-8223

Abstract

Abstract: In the present paper, the shear post-buckling behavior of the FGM rectangular plates is analyzed, for the first time. Furthermore, effects of the elastic foundation on the post-buckling deformation/distortion patterns and strengths are investigated. The exact energy-based 3D theory of elasticity is implemented through incorporation of the general form of Green's strain tensor. A fully consistent 3D Hermitian element with up to the second-order mixed derivatives continuity is utilized to satisfy continuity of the stress and distortion components at the mutual nodes of the adjacent elements. The post-buckling equilibrium paths are traced using an arc-length solution scheme in conjunction with the modified Newton–Raphson method. A comprehensive sensitivity analysis is accomplished to evaluate effects of the heterogeneity index, elastic foundation stiffness, aspect ratio, and the considered two types of practical boundary conditions on the post-buckling deformation patterns, mode jumping, and equilibrium paths. Results obtained based on post-buckling observations of properly adopted reference points reveal that mode jumping and larger distortions may occur due to increasing the post-buckling loads, the elastic foundation leads to larger number of the local deformation regions, and the buckling strengths reduce remarkably when two opposite edges are clamped.