Failure analysis of anisotropic materials using computational homogenised limit analysis

摘要

This paper presents a computational homogenised limit analysis approach for failure analysis of anisotropic materials governed by Tsai-Wu anisotropic failure criterion. At micro-scale, upper bound theorem is applied in combination with homogenization theory within the framework of a macro-stress control formulation, and the associated yield design problem is formulated in the form of a conic programming. A set of points on the surface of the macroscopic strength domain can be determined directly and rapidly, and Tsai-Wu like effective yield criterion is fitted by using least square technique. Various microscopic heterogeneous materials are examined to study the effects of the plastic behaviour of matrices on the macroscopic yield criterion. Micro-structures with random voids are also investigated. The influence of void distribution on the macroscopic yield criterion is presented, and the inner and outer bounds of the effective strength domain are determined and fitted . (c) 2021 Elsevier Ltd. All rights reserved.