ON SEVERAL NEW METHODS TO POLAR DECOMPOSITION COMPUTATION

作     者：Huang, MJ Li, M Fu, MF 

作者机构：Nanchang Univ Inst Engn Mech Nanchang 330029 Peoples R China 

出 版 物：《Acta Mechanica Solida Sinica》 (固体力学学报（英文版）)

年 卷 期：1998年第11卷第4期

页      面：329-340页

核心收录：

学科分类：08[工学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：the National Natural Science Foundation of China the Natural Science Foundation of Jiangxi of China in 1998 

主　　题：polar decomposition deformation gradient stretch tensor rotation tensor large deformation and large rotation 

摘      要：In this paper, the polar decomposition of a deformation gradient tensor is analyzed in detail. The four new methods for polar decompositioncomputation are given: (1) the iterated method, (2) the principal invariant s method, (3) the principal rotation axis s method, (4) the coordinate transformation s method. The iterated method makes it possible to establish the nonlinear finite element method based on polar decomposition. Furthermore, the material time derivatives of the stretch tensor and the rotation tensor are obtained by explicit and simple expressions.