Relation between corotational and polar rotations

被引：0

作者：

Dahan, N ^{[1
]}

Nefussi, G ^{[1
]}

机构：

[1] Univ Paris 06, CNRS, ENS Cachan, LMT, F-94235 Cachan, France

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II FASCICULE B-MECANIQUE PHYSIQUE ASTRONOMIE | 1998年 / 326卷 / 12期

关键词：

large deformation; corotational frame; polar frame;

D O I：

10.1016/S1251-8069(99)80032-5

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Rate constitutive laws are easy to use and well adapted for large deformation analyses. The principle of objectivity requires the introduction of Lagrangian operators obtained by isometric transformations (rotations). Most usual rotations are the corotational and the polar ones. This paper shows that they are connected in a simple way. This new relation gives the best method to obtain the corotational frame, since it only involves operators in the reference space. Moreover, it is possible to transform a Lagrangian model into an Eulerian one, by using the polar rotation. (C) Academie des Sciences/Elsevier, Paris.

引用

页码：811 / 814

页数：4

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