Abstract
The strain-softening localization problems have been studied intensively using the finite element methods. This paper addresses the localization using the boundary element approach. A plasticity model with yield limit degradation is implemented in a boundary element program to study the fracture behavior of quasi-brittle materials. A special integration algorithm is formulated and applied to deal with the singular integrations encountered in the volume integrals over the internal cells where strain-softening occurs. Strain-softening damage localizations are investigated. It is found that as different cell meshes are used in the analysis, the strain-softening region tends to localize into a zone of one cell width, which leads to incorrect results. A nonlocal strain-softening localization limiter is incorporated into the boundary element analysis to avoid the localization problems and attain realistic results.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 417-424 |
| Number of pages | 8 |
| Journal | Engineering Analysis with Boundary Elements |
| Volume | 26 |
| Issue number | 5 |
| DOIs | |
| State | Published - May 2002 |
Funding
Partial financial support for the research under National Science Foundation Grant No. MSS-9114048 and NASA Contract No. NAG8-1561 with Polytechnic University is gratefully acknowledged. The participation of Z.P. Bažant in this study and a Visiting Scholar appointment of F.B. Lin at Northwestern University were partially supported under National Science Foundation Grant No. CMS-9713944 to Northwestern University.
Keywords
- Boundary element method
- Nonlocal formulation
- Plasticity
- Quasi-brittle materials
- Strain-softening
- Yield limit degradation
ASJC Scopus subject areas
- Analysis
- General Engineering
- Computational Mathematics
- Applied Mathematics