Quasistatic Evolution Problems for Linearly Elastic–Perfectly Plastic Materials
Quasistatic Evolution Problems for Linearly Elastic–Perfectly Plastic Materials
复制标题
线弹性完美塑性材料的准静态演化问题
DOI：
10.1007/s00205-005-0407-0
复制
发表时间：
2004
影响因子：
2.5
通讯作者：
M. G. Mora
中科院分区：
文献类型：
--
作者：
G. Maso;A. DeSimone;M. G. Mora
在速率无关过程变分理论的框架下研究了小应变关联弹塑性的准静态演化问题。通过使用有界变形函数空间中的增量变分问题来证明解的存在性。该方法为准静态演化问题的解提供了新的近似结果，该结果在时间上是绝对连续的。推导了该问题的四种等价的速率形式公式。通过引入塑性应变奇异集上的应力的精确定义，获得了流动规则的强大公式。
The problem of quasistatic evolution in small strain associative elastoplasticity is studied in the framework of the variational theory for rate-independent processes. Existence of solutions is proved through the use of incremental variational problems in spaces of functions with bounded deformation. This approach provides a new approximation result for the solutions of the quasistatic evolution problem, which are shown to be absolutely continuous in time. Four equivalent formulations of the problem in rate form are derived. A strong formulation of the flow rule is obtained by introducing a precise definition of the stress on the singular set of the plastic strain.