Nonlocal strain-softening model of quasi-brittle materials using boundary element method

Feng Bao Lin*, Geng Yan, Zdeněk P. Bažant, Fangming Ding

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

22 Scopus citations


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 languageEnglish (US)
Pages (from-to)417-424
Number of pages8
JournalEngineering Analysis with Boundary Elements
Issue number5
StatePublished - May 2002


  • Boundary element method
  • Nonlocal formulation
  • Plasticity
  • Quasi-brittle materials
  • Strain-softening
  • Yield limit degradation

ASJC Scopus subject areas

  • Analysis
  • Engineering(all)
  • Computational Mathematics
  • Applied Mathematics


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