Isogeometric Boundary Element Analysis with elasto-plastic inclusions. Part 1: Plane problems
For computational mechanics researchers, this offers a novel method for modeling inclusions with inelastic behavior without cell discretization, but it is incremental as it extends existing isogeometric BEM approaches.
The paper introduces an isogeometric Boundary Element method for domains with elasto-plastic inclusions, avoiding cell discretization for volume integrals and using lower-singularity kernels. Verification on simple examples and a geomechanics application is provided.
In this work a novel approach is presented for the isogeometric Boundary Element analysis of domains that contain inclusions with different elastic properties than the ones used for computing the fundamental solutions. In addition the inclusion may exhibit inelastic material behavior. In this paper only plane stress/strain problems are considered. In our approach the geometry of the inclusion is described using NURBS basis functions. The advantage over currently used methods is that no discretization into cells is required in order to evaluate the arising volume integrals. The other difference to current approaches is that Kernels of lower singularity are used in the domain term. The implementation is verified on simple finite and infinite domain examples with various boundary conditions. Finally a practical application in geomechanics is presented.