Crack propagation by manifold and singular boundary element method

A second-order manifold method has been developed and is described. By means of the manifold method and a singular boundary element method proposed by the author, the failure process of a structure can be numerically analyzed. Mohr Coulomb's law is employed as a criterion for new crack initiation, and maximum circumferential stress theory is used as criterion for the first and mixed mode (opening-shearing and closing-shearing) propagation of existing cracks. Comparison of the computed stress intensity factor with results obtained via the collocation method demonstrates the high predictive accuracy of the present method. Examples of our present method are presented.