Three-dimensioanl dynamic fracture analysis with the dual reciprocity method in Laplace domain

摘要

In this paper, the dual reciprocity boundary element method in the Laplace domain has been developed for the analysis of three dimensional elastodynamci fracture mechanics mixed-mode problems. The boundary element method is used to calculate the unknowns of transformed boundary displacement and traction and the domain integrals in the elastodynamci equation are transformed into boundary integrals by the use of the dual reciprocity method. The transformed dynamic stress intensity factors are determined by the crack opening displacement (COD) directly in the Laplace domain. By using Durbin's inversion technique, the dynamic stress intensity factors in the time domain are obtained. Several numerical examples are presented to demonstrate the good agreement with existing sol unions.