Effects of arbitrary holes/voids on crack growth using local mesh refinement adaptive XIGA

Abstract

This paper is devoted to numerical investigation of holes/voids effects on crack growth in solids using a locally refined (LR) B-splines extended isogeometric analysis (XIGA). We particularly focus our attention on crack-hole interaction analysis. Special enrichment functions captured discontinuity and singularity are used, by which the computational mesh is thus independent of both cracks and holes, eliminating re-meshing when modeling crack growth. Geometries of arbitrary shaped cracks and holes are accurately described with the NURBS curves, and the coordinates of control points and weights of the NURBS curves are produced from the iges file of Rhino. An efficient stress recovery based error estimator in combination with the structured mesh refinement strategy is adopted to conduct local mesh refinement. The interaction integral method is applied to evaluate the stress intensity factors (SIFs), and the direction of crack growth is determined with the maximum circumferential stress criterion. Analysis of crack-hole interaction is examined through several numerical examples, and computed results are validated with respect to reference solutions.