An efficient nonlocal treatment for 3D damage modeling based on the background mesh concept

摘要

Nonlocal damage models are introduced to overcome the strain localization and mesh dependence problem. However, the convergence and computational efficiency are a big issue, especially for 3D analysis. To construct an efficient treatment for nonlocal damage modeling, a new integration algorithm is proposed in analogy to meshless methods in the present paper. This algorithm is easy to be implemented into commercial software and can be directly extended for complex material models. An integration algorithm for 3D domains is implemented in the commercial software ABAQUS via UMAT. Crack propagation in cracked specimens under both tension and bending condition is investigated and confirms that with the new algorithm the strain localization is eliminated. 3D modeling of cracking reveals high efficiency in computations. Computational results agree reasonably with experiments.