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
收藏
页码:1377 / 1392
页数:16
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