Hybrid boundary element method for two-dimensional linear elastic fracture analysis Conference Paper uri icon


  • In this study, a robust one-step hybrid boundary element method (HBEM) for use in two-dimensional linearly elastic fracture mechanics analyses was developed and validated using well known analytic and numerical solutions. The HBEM is based upon the application of the direct boundary element method (BEM) on regular boundaries and use of the distributed dislocation method to simulate internal cracks. Standard quadratic boundary elements were used to simulate non-degenerate domain boundaries; the Gauss-Chebychev integration technique was used in the evaluation of the singular integrals associated with internal crack boundaries. The HBEM was used to determine very accurate mixed mode stress intensity factors (SIFs) for through slit cracks in multiply connected domains. Using a methodology similar to that presented in this work, it may be possible to develop robust SIF estimates for complex structural components that account for the mechanisms of load transfer and failure throughout the structure. Such studies may facilitate structural analysis and design by providing insight into relationships between material configuration and damage progression that lead to improved damage tolerance characteristics.

author list (cited authors)

  • Yohannes, A., Lacy, T. E., & Youngkeun, H.