Elastoplastic analysis of frames composed of softening materials by restricted basis linear programming.
- Resource Type
- Article
- Authors
- Mahini, M.R.; Moharrami, H.; Cocchetti, G.
- Source
- Computers & Structures. Jan2014, Vol. 131, p98-108. 11p.
- Subject
- *ELASTOPLASTICITY
*FLOW charts
*LINEAR programming
*BIFURCATION theory
*KINEMATICS
*PROBLEM solving
- Language
- ISSN
- 0045-7949
Abstract: This paper is concerned with nonlinear analysis of frames composed of softening materials. The previously proposed dissipated energy maximization approach is extended to determine non-holonomic solution of such frames. The adopted assumptions are: linear kinematics, lumped plasticity with softening behavior, piecewise-linear yield functions, associate flow rule and isotropic evolution with a three phase linear softening rule. The approach is based on a mathematical programming formulation. The solution procedure is discussed and presented in a comprehensive flowchart. It is shown that this method has the ability of solving and tracing path dependent problems and detecting any possible bifurcation. [Copyright &y& Elsevier]