Tetrahedral Finite Element with Rotational Degrees of Freedom for Cosserat and Cauchy Continuum Problems

被引：3

作者：

Zhou, Xinwei ^{[1
]}

Cusatis, Gianluca ^{[2
]}

机构：

[1] ES3, San Diego, CA 92101 USA

[2] Northwestern Univ, 2145 N Sheridan Rd, Evanston, IL 60208 USA

来源：

JOURNAL OF ENGINEERING MECHANICS | 2015年 / 141卷 / 02期

关键词：

Cosserat elasticity; Finite element; Rotational degrees of freedom; SOLID ELEMENTS; FORMULATION;

D O I：

10.1061/(ASCE)EM.1943-7889.0000868

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

This study formulates a simple tetrahedral finite element equipped with rotational degrees of freedom that can be used effectively to solve problems for both Cosserat and Cauchy continua. The formulation makes no assumption regarding the symmetry of the stress tensor, and such symmetry is achieved at convergence for the Cauchy problems. The numerical implementation of the new element is straightforward, and numerical tests demonstrate second-order accuracy in the case of both Cosserat and Cauchy elasticity. (C) 2014 American Society of Civil Engineers.

引用

页数：4

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