Error estimates in elastoplasticity using a mixed method
Error estimates in elastoplasticity using a mixed method
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DOI：
10.1016/j.apnum.2011.06.001
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发表时间：
2011-10
影响因子：
2.8
通讯作者：
Andreas Schr̈oder;S. Wiedemann
中科院分区：
文献类型：
--
作者：
Andreas Schr̈oder;S. Wiedemann
本文介绍了线性运动硬化弹塑性的混合公式及其离散化。混合公式依赖于拉格朗日乘子的引入来解决塑性功函数的不可微性。主要重点是基于一般离散化空间的先验和后验误差估计的推导。将估计结果应用于几个低阶有限元。特别是，后验估计是用标准残差估计来表示的。数值实验验证了后验估计在自适应过程中的适用性。
In this paper, a mixed formulation and its discretization are introduced for elastoplasticity with linear kinematic hardening. The mixed formulation relies on the introduction of a Lagrange multiplier to resolve the non-differentiability of the plastic work function. The main focus is on the derivation of a priori and a posteriori error estimates based on general discretization spaces. The estimates are applied to several low-order finite elements. In particular, a posteriori estimates are expressed in terms of standard residual estimates. Numerical experiments are presented, confirming the applicability of the a posteriori estimates within an adaptive procedure.