Crack propagation using the continuum strong discontinuity approach by the BEM: some numerical remarks

  • Tiago S. MendonçaEmail author
  • Rodrigo G. Peixoto
  • Gabriel O. Ribeiro
Technical Paper


Some numerical remarks regarding the crack evolution in failure analysis by the BEM using cells with embedded strong discontinuities are addressed in this work. A comparative study between the generation of these cells at any iteration or only after a step convergence is firstly performed. Moreover, an analysis is carried out related to the cells size growth throughout the iterative-incremental process. As reference, some classical problems whose experimental results are available in the literature are used for the numerical analysis which is performed considering the implicit formulation of the boundary element method together with the continuum strong discontinuity approach. It was verified that the results are coincident for different numbers of steps considered in the simulations when cells are generated during any iteration, showing step size independence in this case, while the same is not true for the case of cells generated only after step convergence, in which a large number of steps are required for a good accuracy. Finally, it is shown that a small increase in cell size throughout the analysis contributes to the reduction in numerical processing time without significantly affecting the results accuracy.


Implicit boundary element method Continuum strong discontinuity approach Failure mechanics Step size dependence 



The authors would like to acknowledge CNPq (National Council of Scientific and Technological Development), CAPES (Coordination of Improvement of Higher Education Personnel) and FAPEMIG (Minas Gerais State Research Foundation) for financial supports.


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Copyright information

© The Brazilian Society of Mechanical Sciences and Engineering 2018

Authors and Affiliations

  1. 1.Departamento de Engenharia de EstruturasUniversidade Federal de Minas GeraisBelo HorizonteBrazil

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