Analysis of Fracture Mechanism Using Adaptive Finite Cover Method

Abstract

In this paper, the multi-level finite cover method is extended to adaptive analysis and applied to the fracture analysis. Finite cover method (FCM) employs the concept of mathematical cover from Manifold method, and applied to the voxel analysis. FCM-CLSA enables the multi-level distribution of voxel. For the indicator of sub-division of voxel, a-posteriori error estimation and accuracy of geometric representation is considered. For the representation of crack propagation the removal of te voxel at the area where fracture occurred is proposed and by this approach it was shown that the representation of crack propagation can be carried out much easier than the traditional approach in which geometrical reprenentation of crack is needed, while keeping the necessary accuracy by keeping the size of voxel small enough where fracture occurs. 2 dimensional example of avalanche is shown to demonstrate the capability of the approach.