A weak form quadrature element formulation of geometrically exact shells incorporating drilling degrees of freedom

被引：12

作者：

Zhang, Run ^{[1
]}

Zhong, Hongzhi ^{[2
]}

Yao, Xiaohu ^{[1
]}

机构：

[1] South China Univ Technol, Sch Civil & Transportat Engn, Dept Engn Mech, Guangzhou 510641, Guangdong, Peoples R China

[2] Tsinghua Univ, Dept Civil Engn, Beijing 100084, Peoples R China

来源：

COMPUTATIONAL MECHANICS | 2019年 / 63卷 / 04期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

Geometrically exact shell; Drilling degrees of freedom; Polar decomposition of deformation; Weak form quadrature element method; SHEAR;

D O I：

10.1007/s00466-018-1615-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Geometrically nonlinear analysis of shell structures is conducted using weak form quadrature elements. A new geometrically exact shell formulation incorporating drilling degrees of freedom is established wherein rotation quaternions in combination with a total Lagrange updating scheme are employed for rotation description. An extended kinematic condition to serve as the drilling rotation constraint, derived from polar decomposition of modified mid-surface deformation gradient, is exactly satisfied in the formulation. Several benchmark examples are presented to illustrate the versatility and robustness of the present formulation.

引用

页码：663 / 679

页数：17

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