弹塑性平面应力问题的求积元分析
首发时间:2021-03-17
摘要:材料非线性问题是工程结构分析中的重点。本文将求积元法与增量变分原理相结合,采用隐式的返回映射算法积分本构关系,开发了一种用于分析弹塑性平面应力问题的新方法。应用该方法对理想弹塑性和各向同性硬化两种非线性材料本构模型进行了数值模拟。数值结果表明求积元法不仅可用于分析弹塑性平面应力问题,而且能够较为准确的预测结构极限状态。
关键词: 求积元法 增量变分原理 返回映射算法 材料非线性 平面应力
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Quadrature element analysis of elastoplastic plane stress problems
Abstract:Material nonlinearity analysis is one of the key problems for engineering structures. In this paper, the quadrature element method is combined with the incremental variational principle, and the implicit return-mapping algorithm is adopted for the integration of the constitutive relation. A new method for solving elastoplastic plane stress problems is proposed. It is used to simulate ideal and isotropic hardening elastoplastic models. The results show that the quadrature element method can not only be applicable to the elastoplastic plane stress problem, but also predict the limit state of the structure accurately.
Keywords: quadrature element method incremental variational principle return mapping algorithm material nonlinearity plane stress
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