Efficient simulation of inclusions and reinforcement bars with the isogeometric Boundary Element method

Gernot Beer*, Christian Dünser, Eugenio Ruocco, Vincenzo Mallardo

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The paper is concerned with the development of efficient and accurate solution procedures for the isogeometric boundary element method (BEM) when applied to problems that contain inclusions that have elastic properties different to the computed domain. This topic has been addressed in previous papers but the approach presented here is a considerable improvement in terms of efficiency and accuracy. One innovation is that initial stresses instead of body forces are used, resulting in discretised equations that can be written using matrix–vector multiplications. This allowed a one step solution to be implemented for elastic inclusions. In addition, a novel approach is used for the computation of strains, that avoids the use of highly singular fundamental solutions. Finally, a new type of inclusion is presented that can be used to model reinforcement bars or rock bolts and where analytical integration can be used. Test examples, where results are compared with Finite Element simulations, show that the proposed approach is sound.

Original languageEnglish
Article number113409
JournalComputer Methods in Applied Mechanics and Engineering
Publication statusPublished - 1 Dec 2020


  • BEM
  • Elasticity
  • Elasto-plasticity
  • Inclusions
  • Isogeometric analysis

ASJC Scopus subject areas

  • Computational Mechanics
  • Computer Science Applications

Fields of Expertise

  • Sustainable Systems

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