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.
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页码：1377 / 1392
页数：16
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