On the direct determination of the rotation tensor from the deformation gradient

被引：8

作者：

Lu, J

Papadopoulos, P

机构：

[1] Department of Mechanical Engineering, University of California at Berkeley, Berkeley

来源：

MATHEMATICS AND MECHANICS OF SOLIDS | 1997年 / 2卷 / 01期

关键词：

D O I：

10.1177/108128659700200102

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

An explicit representation of the rotation tensor is given in terms of the deformation gradient. The derivation does not require the a priori determination of the stretch tenser. Instead, it relies on systematic use of the Cayley-Hamilton theorem and basic properties of proper orthogonal tensors.

引用

页码：17 / 26

页数：10

共 11 条

[1]

Abramowitz M., 1970, HDB MATH FUNCTIONS F

[2]

GOLDSTEIN H, 1980, CLASSICAL MECHANICS

[3]

Guo Z.-H., 1981, SOLID MECH ARCH, V6, P451

[4] DETERMINATION OF THE STRETCH AND ROTATION IN THE POLAR DECOMPOSITION OF THE DEFORMATION GRADIENT [J].