A phase-field description of dynamic brittle fracture

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• 作者：Michael J. Borden^a ; ^{mborden@ices.utexas.edu} ; Clemens V. Verhoosel^b ; Michael A. Scott^a ; Thomas J.R. Hughes^a ; Chad M. Landis^c
• 关键词：Phase field ; Fracture mechanics ; Isogeometric analysis ; Adaptive refinement ; T-splines
• 刊名：Computer Methods in Applied Mechanics and Engineering
• 出版年：2012
• 期刊代码：27_00457825
• 类别：cp
• 出版时间：1 April, 2012
• 卷：217-220
• 期：Complete
• 页码：77-95
• 文件大小：2196 K

摘要

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.