Elasto-plastic pre- and post-buckling analysis of functionally graded beams under mechanical loading. (April 2015)

• Record Type: Journal Article
• Authors: Alijani, A; Darvizeh, M; Darvizeh, A; Ansari, R
• Is Part Of: Proceedings of the Institution of Mechanical Engineers. Volume 229:Number 2(2015:Apr.)
• Page Start: 146
• Page End: 165
• Publication Date: 2015-04
• Subjects: Elasto-plastic analysis -- post-buckling -- functionally graded materials -- continuum-based finite element; Materials -- Periodicals; Engineering design -- Periodicals; 620.11
• DOI: 10.1177/1464420713502908
• Languages: English
• ISSNs: 1464-4207

Abstract

In this paper, the elasto-plastic pre- and post-buckling behavior of beams made of functionally graded materials subjected to mechanical loading is investigated. A continuum-based finite element formulation is developed to determine the major characteristics of buckling. The arc-length algorithm is employed to analyze the stability problem. A plane stress von Mises model with isotropic hardening is utilized for the elasto-plastic nonlinear analysis of the beam. Basic idea in geometric and material nonlinear analysis of functionally graded material beams is to use the plasticity capacity of metal phase as a ductile material during loading. The influences of number of axial modes, material index, geometrical parameters and boundary conditions on the critical buckling point, pre- and post-buckling paths, plastic bifurcation point and stress distribution are fully studied. A good agreement between generated results and existing data in the literature is observed.