Thermodynamically consistent algorithms for a finite‐deformation phase‐field approach to fracture
Thermodynamically consistent algorithms for a finite‐deformation phase‐field approach to fracture
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DOI：
10.1002/nme.4709
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发表时间：
2014-09
影响因子：
2.9
通讯作者：
C. Hesch;K. Weinberg
中科院分区：
文献类型：
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作者：
C. Hesch;K. Weinberg
相场方法断裂提供了新的观点，对裂纹扩展的数值解。本文介绍了有限变形和一般非线性材料模型的相场方法，该方法使用一种新的主拉伸的乘法分裂来解释拉伸和压缩下断裂的不同行为。发展了一个能量动量一致积分器，并将其应用于非线性耦合相场模型.这种方法在热力学第一定律满足耗散函数的意义上是热力学一致的。所提出的方法的能力和性能证明在几个有代表性的例子。版权所有© 2014约翰威利父子有限公司.
Phase‐field approaches to fracture offer new perspectives toward the numerical solution of crack propagation. In this paper, a phase‐field method for finite deformations and general nonlinear material models is introduced using a novel multiplicative split of the principal stretches to account for the different behavior of fracture in tension and compression. An energy‐momentum consistent integrator is developed and applied to the arising nonlinear coupled phase‐field model. This approach is thermodynamically consistent in the sense that the first law of thermodynamics if fulfilled with respect to the dissipation function. The capabilities and the performance of the proposed approach is demonstrated in several representative examples. Copyright © 2014 John Wiley & Sons, Ltd.