Remeshing techniques for r-adaptive and combined h/r-adaptive analysis with application to 2D/3D crack propagation

摘要

Remeshing strategies are formulated for r-adaptive and h/r-adaptive analysis\udof crack propagation. The relocation of the nodes, which typifies r-adaptivity, is a very\udcheap method to optimize a given discretisation since the element connectivity remains\udunaltered. However, the applicability is limited. To further improve the finite element\udmesh, a combined h/r-adaptive method is proposed in which h-adaptivity is applied whenever\udr-adaptivity is not capable of further improving the discretisation. Two and threedimensional\udexamples are presented. It is shown that the r-adaptive approach can optimize\uda discretisation at minimal computational costs. Further, the combined h/r-adaptive approach\udimproves the performance of a fully r-adaptive technique while the computational\udcosts are lower than that of a fully h-adaptive approach. Thus, the combined h/r-adaptive\udmethod combines the advantages of r-adaptivity and h-adaptivity.