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

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. • A novel approach to deal with inclusions. • Computation of strains inside the inclusion using strain recovery to avoid highly singular integration. • Introduction of a new inclusion type that is able to represent reinforcement bars or rock bolts, where the integrals can be solved analytically. • Introduction of a one step solution for the case where the inclusions are elastic. [ABSTRACT FROM AUTHOR]