|
|||||
|
|
Exact integration in the boundary element method for two-dimensional elastostatic problems |
|
| Authors: | Xiaosong Zhang Xiaoxian Zhang |
| Affiliation: | a Department of Mechanics and Engineering Science, Shijiazhuang Railway Institute, Shijiazhuang 050043, Hebei Province, China b SIMBIOS Center, School of Computing and Advanced Technologies, University of Abertay Dundee, Bell Street, Dundee DD1 1GH, UK |
| Abstract: | This paper derives the exact integrations for the integrals in the boundary element analysis of two-dimensional elastostatics. For facilitation, the derivation is based on the simple forms of the fundamental functions by taking constant, discontinuous linear and discontinuous quadratic elements as examples. The efficiency and accuracy of the derived exact integrations are verified against five benchmark problems; the results indicate that the derived exact integrations significantly reduces the CPU time for forming the matrices of the boundary element analysis and solving the internal displacements. |
| Keywords: | Exact integrations Discontinuous boundary element Fundamental functions Two-dimensional elastostatics |
| 本文献已被 ScienceDirect 等数据库收录！ | |