Abstract
In order to analyze failure phenomena, it is important to use heterogeneous models instead of an ideally homogeneous one since crack path is strongly influenced by the presence of local heterogeneities. Numerical Monte-Carlo simulation is not feasible for such heterogeneous models if each simulation is computationally expensive. The authors are proposing FEM-β to solve this problem. The present paper provides one example of Monte-Carlo simulation of analyzing crack path in heterogeneous models. The probability density functions of the crack paths are obtained, and they are compared with the path of the ideally homogeneous model. The usefulness of the Monte-Carlo simulation of heterogeneous models for failure analysis is discussed.
