极分解计算的非线性消除法  

NONLINEAR ELIMINATION COMPUTATION METHOD FOR POLAR DECOMPOSITION

作　　者：沈少峰[1] 

机构地区：[1]江苏信息职业技术学院,无锡214153

出　　处：《固体力学学报》2008年第2期212-216,共5页Chinese Journal of Solid Mechanics

摘　　要：变形梯度的极分解在平面问题中得到了很好解决,在三维空间问题中一直认为是相当困难,利用Cayley-Hamilton公式和U的三个不变量求解是目前普遍采用的方法,文章利用正交矩阵的特性,介绍了非线性逐次消除的方法,给出了右极分解的计算式.Polar decomposition of deformation gradient in three dimensional states is often rather dif ficult, although it has already been solved success fully for plane problems. It is a commonly used technique to obtain the solutions through Cayley Hamilton formula and three invariables of U. The paper introduces a nonlinear elimination method by use of orthogonal matrixes property, and gives a computation formula for polar decomposition.

关 键 词：变形梯度 极分解 伸长张量 转动张量 非线性消除 

分 类 号：O316[理学—一般力学与力学基础]