Material point method modeling of crack propagation for interacting and intersecting explicit cracks
Keywords: Cracks, MPM, Fracture Mechanics, J Integral
TL;DR: Extended MPM modeling of explicit cracks to include interacting and intersecting cracks
Abstract: Numerical crack propagation modeling of multiple, explicit cracks requires methods that can resolve interacting, and potentially intersecting, cracks as well as methods to calculate crack-tip parameters with sufficient accuracy for predicting when and where cracks will grow. The material point method (MPM) can solve interacting crack problems using the CRAMP method (for CRacks in MPM), but J integral calculations needed to predict crack propagation have to be modified whenever other cracks intersect the J contour of a propagating crack. If the tip of an intersecting crack is inside the J contour, the contour has to be adapted to avoid that tip. This talk will describe robust J calculations for interacting and intersecting cracks. Several examples show that the revised J methods are accurate even when J contours are intersected. Selected crack propagation examples show the new methods have sufficient accuracy for interacting crack propagation calculations. The calculations work with a regular background MPM grid without any need to remesh or to highly refine crack-tip regions.
Submission Number: 5
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