A node-centric indirect boundary element method: three-dimensional displacement discontinuities

✍ Scribed by S. Vijayakumar; T.E. Yacoub; J.H. Curran

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 896 KB
• Volume: 74
• Category: Article
• ISSN: 0045-7949
• DOI: 10.1016/s0045-7949(99)00078-4

✦ Synopsis

An indirect boundary element formulation based on unknown physical values, de®ned only at the nodes (vertices) of a boundary discretization of a linear elastic continuum, is introduced. As an adaptation of this general framework, a linear displacement discontinuity density distribution using a ¯at triangular boundary discretization is considered. A uni®ed element integration methodology based on the continuation principle is introduced to handle regular as well as near-singular and singular integrals. The boundary functions that form the basis of the integration methodology are derived and tabulated in the appendix for linear displacement discontinuity densities. The integration of the boundary functions is performed numerically using an adaptive algorithm which ensures a speci®ed numerical accuracy. The applications include veri®cation examples which have closed-form analytical solutions as well as practical problems arising in rock engineering. The node-centric displacement discontinuity method is shown to be numerically ecient and robust for such problems.