Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 190, Issue 22-23, Pages 2803-2823Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/S0045-7825(00)00367-4
Keywords
microstructural deterioration; heterogeneous materials
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In this paper, we develop a model to characterize the deterioration of mechanical responses of microheterogeneous solids due to progressive microstructural failure with increased loading. In the approach, the effects of microscopic failure, so-called relaxation, are described by a variational boundary value problem with constraints on the microfields. The extent of the relaxation, which is induced by reducing the eigenvalues of the elasticity tensor at a point in the heterogeneous body, is dictated by the condition that the solution must satisfy the equations of equilibrium, and simultaneously the constraints at that point. Theoretical properties of the model are determined and a computational algorithm is developed to simulate the deterioration of the material microstructure. Numerical simulations involving the finite element method are given to illustrate various aspects of the model. (C) 2001 Elsevier Science B.V. All rights reserved.
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