Some topics on a new class of elastic bodies

被引：41

作者：

Bustamante, Roger ^{[1
]}

机构：

[1] Univ Chile, Dept Ingn Mecan, Santiago 6511261, Chile

来源：

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2009年 / 465卷 / 2105期

关键词：

weak formulation; elasticity; Green elastic material; constraints;

D O I：

10.1098/rspa.2008.0427

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：

In this paper, we study the problem of prescribing deformation as a function of stresses. For the particular case of small deformations, we find a weak formulation, from which we de. ne the constitutive equation of a Green-like material, where an energy function that depends on the Cauchy stress tensor is proposed. Constraints on the deformation are studied for this new class of elastic bodies.

引用

页码：1377 / 1392

页数：16

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