主要期刊论文

A Key-node Finite Element Method and Its Application to Porous Materials




作者: Y. L. Chen, C. Z. Tian and L. X. Li*
发表/完成日期: 2015-05-01
期刊名称: Computer Physics Communications
期卷:
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论文简介
Due to the complex microstructures of porous materials, the conventional finite element method is often inefficient when simulating their mechanical responses. In this paper, a key-node finite element method is proposed. First, the concept of key-node is introduced over the element level, and then the governing equations are theoretically derived and corresponding boundary conditions for shape functions of key-node finite element are prescribed. The key-node finite element method is finally established by following the procedure of conventional finite element method to numerically solve the shape functions. Including the information of micro-structures and physical details in shape functions, the key-node finite element is more efficient when preserving a high accuracy, which is validated by typical applications to elastic and elasto-plastic analyses of porous materials. It is straightforward to extend the present method to the three-dimensional case or to solving more challengeable problems such as dynamical responses with high frequencies.