计算力学学报2017，Vol.34Issue(6)：690-697,8.DOI:10.7511/jslx201706003
隐格式近似不可压四面体4节点大变形单元
A large-strain nearly incompressible implicit 4-node tetrahedron
摘要
Abstract
This paper presents a new 4-node tetrahedral element for large-strain nearly incompressible implicit applications.The proposed element is based on the work of Bonet and Burton (1998).The contribution of the paper is the derivation of the exact consistent tangent matrix,the key component of an implicit finite element,by accurate directional derivatives of the averaged element pressure with regard to displacement increment.In contrast to the standard linear tetrahedron element,there is a coupling among degrees of freedom (DOFs) of neighboring elements.This leads to an increased number of nonzero entries in the global tangent matrix,but it has no effect on the total number of DOFs and hence the cost in solving linear equations.Numerical tests were carried out to compare the element with its two popular counterparts,the reduced integrated 8-node hexahedron element and the standard 4-node tetrahedron element.It has been demonstrated that the proposed tetrahedron can avoid volumetric locking and show comparable performance with the afore-mentioned hexahedron element in all the examples tested.关键词
隐式有限元/四面体单元/大应变/近似不可压/体积自锁Key words
implicit finite element/tetrahedron element/large strain/nearly incompressible/volumetric locking分类
数理科学引用本文复制引用
肖桂仲,陈成军,肖世富,田荣..隐格式近似不可压四面体4节点大变形单元[J].计算力学学报,2017,34(6):690-697,8.基金项目
国家重点研发计划(2016YFB0201004) （2016YFB0201004）
国家自然科学基金重大研究计划(91530319) （91530319）
国家自然科学基金项目(11472256)资助项目. （11472256）
