The objective of this paper is to develop a nonlocal constitutive model for damageable brittle and quasi-brittle materials using a predictor-corrector method. The local fields based on a previously developed constitutive model are obtained with an explicit time integration scheme, and then regularized such that the method is generalized standard in a nonlocal manner. The present constitutive model is implemented in a commercial finite element code, Abaqus/Explicit, using user-defined material subroutine VUMAT. Its capability of handling damage anisotropy, complex loading path, and complex loading conditions is verified through modeling a SiC-SiC woven composite in a cyclic unaxial test. Its capability of predicting realistic damage path and the size effect is demonstrated with a three point bending test using the same material. The present model can be used to predict crack initiation and propagation of various heterogeneous materials.
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