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Geophysics Department Seminar - Adrian Lew: High-Fidelity Methods for Brittle Fracture Propagation

Date and Time: 
January 18, 2018 - 12:00pm to 1:15pm
Mitchell 350/372
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Event Sponsor: 
Geophysics Department

Speaker: Adrian Lew

Associate Professor, Department of Mechanical Engineering and the Institute for Computational and Mathematical Engineering at Stanford University

We describe our approach to simulating curvilinear brittle fractures. Key to our approach is the ability to compute the values of the stress intensity factors around the crack tip with high order of accuracy, in practice fourth or sixth order. The practical consequences of this feature are that (a) converged crack paths can be obtained with relatively coarse meshes and, more importantly, (b) it is not necessary to refine the mesh around the tip at each crack step, except perhaps, around high curvature regions of the crack paths. The ability to compute accurate stress intensity factors relies on two novel developments in my group: (a) the use of Universal Meshes to deform an underlying mesh so that it precisely matches the geometry of the fracture as it evolves, and (b) the computation of high-order solutions to elasticity problems with singularities. We will describe both, and illustrate the effectiveness of our approach through the computation of a large region of the phase space for crack patterns in rapidly-quenched hot plates, and the propagation of hydraulic fractures in two-dimensions