Convergence analysis of discrete approximations of problems in hardening plasticity

Weimin Han; B. Daya Reddy

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Convergence analysis of discrete approximations of problems in hardening plasticity

机译：硬化性问题离散离散近似的收敛性分析

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摘要

The initial boundary value problem of quasistatic elastoplasticity is considered here as a variational inequality and equation in the displacement and stress. A variational inequality for the stress only may be obtained by eliminating the displacement. Semidiscrete approximations of the stress problem and fully discrete finite element approximations of the full problem are considered under assumptions of minimum regularity of the solution. It is shown that the resulting families of approximations converge to the solution of the original Problem.

机译：准静态弹塑性的初始边值问题在这里被视为位移和应力的变分不等式和方程。通过消除位移可以仅获得应力的变化不等式。在解的最小规则性假设下，考虑了应力问题的半离散近似和整个问题的完全离散有限元近似。结果表明，所得的近似族收敛于原始问题的解。

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《Computer Methods in Applied Mechanics and Engineering》 |1999年第4期|327-340|共14页
作者
Weimin Han; B. Daya Reddy;
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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类自动化基础理论;工程基础科学;
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Convergence analysis of discrete approximations of problems in hardening plasticity

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