Elastic-plastic deformation of a beam, composed of layers with material orthotropic in elastic and plastic domains, is analyzed in this paper. The first material direction of each layer is inclined at an angle (+ α and - α successively) with respect to the beam axis. The yield condition represents a generalization of the Hill's criterion to include the material hardening. The derived incremental relations for stress calculation are based on the governing parameter method (GPM), developed by the first author, where the problem of implicit integration of inelastic constitutive relations is reduced to solution of one governing nonlinear equation. The expressions for tangent elastic-plastic moduli are also given. One solved numerical example demonstrates the main characteristics of the developed algorithm, suitable for a general elastic-plastic analysis of composite beams.
ASJC Scopus subject areas
- Civil and Structural Engineering
- Modeling and Simulation
- Materials Science(all)
- Mechanical Engineering
- Computer Science Applications