摘要
A concurrent multiscale method is developed for simulating quasi-static crack propagation in which the failure processes occur in only a small portion of the structure. For this purpose, a multiscale model is adopted and both scales are discretized with finite-element meshes. The extended finite element method is employed to take into account the propagation of discontinuities on the fine-scale subregions. At the same time, for the other subregions, the coarse-scale mesh is employed and is resolved by using the extended multiscale finite element method. Several representative numerical examples are given to verify the validity of the method.
A concurrent multiscale method is developed for simulating quasi-static crack propagation in which the failure processes occur in only a small portion of the structure. For this purpose, a multiscale model is adopted and both scales are discretized with finite-element meshes. The extended finite element method is employed to take into account the propagation of discontinuities on the fine-scale subregions. At the same time, for the other subregions, the coarse-scale mesh is employed and is resolved by using the extended multiscale finite element method. Several representative numerical examples are given to verify the validity of the method.
基金
Project supported by the National Natural Science Foundation of China(Nos.11232003,11072051,11272003 and 91315302)
the 111 Project(No.B08014)
the National Basic Research Program of China(Nos.2010CB832704 and 2011CB013401)
Program for New Century Excellent Talents in University(No.NCET-13-0088)
Ph.D.Programs Foundation of Ministry of Education of China(No.20130041110050)
