Associated computational plasticity schemes for nonassociated frictional materials
Associated computational plasticity schemes for nonassociated frictional materials
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DOI：
10.1002/nme.3358
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发表时间：
2012-06-01
影响因子：
2.9
通讯作者：
Sloan, S. W.
中科院分区：
文献类型：
--
作者：
Krabbenhoft, K.;Karim, M. R.;Sloan, S. W.
提出了一种计算非相关摩擦材料塑性的新方法。新方法的灵感来自于摩擦的微观力学起源，并得出了一套类似于标准相关塑性的控制方程。因此，先前为相关塑性制定的程序只需稍加修改即可适用。这是由标准隐式格式的适应说明。此外，控制方程可以用变分原理来表示，离散化后用新开发的二阶锥规划算法求解。结合变形的局部化讨论了非结合性的影响，并通过一组全面的例子加以说明。版权所有：John Wiley & Sons， Ltd。
A new methodology for computational plasticity of nonassociated frictional materials is presented. The new approach is inspired by the micromechanical origins of friction and results in a set of governing equations similar to those of standard associated plasticity. As such, procedures previously developed for associated plasticity are applicable with minor modification. This is illustrated by adaptation of the standard implicit scheme. Moreover, the governing equations can be cast in terms of a variational principle, which after discretization is solved by means of a newly developed second-order cone programming algorithm. The effects of nonassociativity are discussed with reference to localization of deformations and illustrated by means of a comprehensive set of examples. Copyright (c) 2012 John Wiley & Sons, Ltd.