A regularization framework for damage-plasticity models via gradient enhancement of the free energy
A regularization framework for damage-plasticity models via gradient enhancement of the free energy
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DOI：
10.1002/cnm.1350
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发表时间：
2011-08-01
影响因子：
2.1
通讯作者：
Hackl, K.
中科院分区：
文献类型：
--
作者：
Dimitrijevic, B. J.;Hackl, K.
我们提出了一个框架，通过梯度增强的亥姆霍兹自由能函数的耦合损伤塑性模型的正则化。这种增强是通过引入新的变量来实现的，这些变量与非弹性变量的梯度相耦合，从而使模型正则化。该模型的变分形式归结为一个纯最小化问题，数值算例表明了该梯度增强模型的性能。结果表明，病态的耦合非弹性模型的网格依赖有效地消除，连同软化范围内的数值计算的困难。版权所有（C）2009约翰威利父子有限公司
We present a framework for the regularization of coupled damage-plasticity models through gradient enhancement of the Helmholtz-free-energy function. This enhancement is achieved introducing new variables, coupled to the gradients of the inelastic variables and thus regularizing the model. The variational formulation of the model results in a pure minimization problem.Numerical examples, which show the performance of the proposed gradient-enhanced model, are presented. It is shown that the pathological mesh dependence of the coupled inelastic model is efficiently removed, together with the difficulties of numerical calculations in the softening range. Copyright (C) 2009 John Wiley & Sons, Ltd.