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By Mr (m: A (r, Michael J. (-tx-cpe) Verhoosel, Clemens V. (nl-eind-me, Michael A. (-tx-cpe) Hughes and Thomas J. R. (-tx-cpe

Abstract

A phase-field description of dynamic brittle fracture. (English summary) Comput. Methods Appl. Mech. Engrg. 217/220 (2012), 77–95. Summary: “In contrast to discrete descriptions of fracture, phase-field descriptions do not require numerical tracking of discontinuities in the displacement field. This greatly reduces implementation complexity. In this work, we extend a phase-field model for quasi-static brittle fracture to the dynamic case. We introduce a phase-field approximation to the Lagrangian for discrete fracture problems and derive the coupled system of equations that govern the motion of the body and evolution of the phase-field. We study the behavior of the model in one dimension and show how it influences material properties. For the temporal discretization of the equations of motion, we present both a monolithic and staggered time integration scheme. We study the behavior of the dynamic model by performing a number of two and three dimensional numerical experiments. We also introduce a local adaptive refinement strategy and study its performance in the context of locally refined T-splines. We show that the combination of the phase-field model and local adaptive refinement provides an effective method for simulating fracture in three dimensions.

Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.352.4665
Provided by: CiteSeerX
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