A Novel Static-Implicit Finite Element Formulation for Large Deformation Analysis Based on the Incremental Equilibrium Equation
A Novel Static-Implicit Finite Element Formulation for Large Deformation Analysis Based on the Incremental Equilibrium Equation
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基于增量平衡方程的大变形分析的新型静态隐式有限元公式
DOI：
10.11345/nctam.61.135
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
Kenji AMAYA
中科院分区：
文献类型：
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作者：
Yuki ONISHI;Kenji AMAYA
本文提出了一种新的基于增量平衡方程（IEE）的静力隐式大变形有限元列式，该列式是最近在无网格法中发展起来的。由于IEE是一个半经验方程，至今没有任何数学推导，IEE的数学推导从率形式的虚功方程。精确地描述了所提出的静态隐式有限元公式，并阐明了我们的方法与重新分区技术相结合的潜在优势。几个大变形分析的例子表明，所提出的公式具有足够的精度与标准公式。
A novel static-implicit finite element formulation based on the incremental equilibrium equation (IEE), which has been recently developed in the meshfree method, for the large deformation analysis is proposed. As the IEE is a semi-empirical equation without any mathematical derivation so far, a mathematical derivation of the IEE from the virtual work equation in rate form is presented. The proposed static-implicit FE formulation is precisely described, and the prospective advantage of our method combined with rezoning technique is clarified. A few examples of the large deformation analysis are presented to show that the proposed formulation has enough accuracy comparable to the standard formulation.