Adaptive modeling of damage growth using a coupled FEM/BEM approach

Mostafa E. Mobasher, Haim Waisman

Research output: Contribution to journalArticlepeer-review


We propose a coupled boundary element method (BEM) and a finite element method (FEM) for modelling localized damage growth in structures. BEM offers the flexibility of modelling large domains efficiently, while the non-linear damage growth is accurately accounted by a local FEM mesh. An integral-type nonlocal continuum damage mechanics with adapting FEM mesh is used to model multiple damage zones and follow their propagation in the structure. Strong form coupling, BEM hosted, is achieved using Lagrange multipliers. Because the non-linearity is isolated in the FEM part of the system of equations, the system size is reduced using Schur complement approach, then the solution is obtained by a monolithic Newton method that is used to solve both domains simultaneously. The coupled BEM/FEM approach is verified by a set of convergence studies, where the reference solution is obtained by a fine FEM. In addition, the method is applied to multiple fractures growth benchmark problems and shows good agreement with the literature.

Original languageEnglish (US)
Pages (from-to)599-619
Number of pages21
JournalInternational Journal for Numerical Methods in Engineering
Issue number8
StatePublished - Feb 24 2016


  • Adaptive
  • Boundary element
  • Damage
  • Finite element
  • Non-local

ASJC Scopus subject areas

  • Numerical Analysis
  • General Engineering
  • Applied Mathematics


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