Residual stresses for a new class of transversely isotropic nonlinear elastic solid

被引：0
|
作者：
Bustamante, Roger [1 ]
Rajagopal, Kumbakonam R. [2 ]
Wineman, Alan [3 ]
机构：
[1] Univ Chile, Dept Ingn Mecan, Beauchef 851,Santiago Ctr, Santiago 837044, Chile
[2] Univ Texas A&M, Dept Mech Engn, College Stn, TX USA
[3] Univ Michigan, Dept Mech Engn, Ann Arbor, MI USA
来源：
MATHEMATICS AND MECHANICS OF SOLIDS | 2024年
基金：
美国国家科学基金会;
关键词：
Non-Green elastic solid; residually stressed hollow sphere; residual stresses for a cylindrical annulus; large elastic deformations; restrictions on residual stresses;
D O I：
10.1177/10812865241250006
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We study the response of a class of transversely elastic bodies, wherein the Green-Saint Venant strain tensor is a function of the second Piola-Kirchhoff stress tensor, when the body is residually stressed. The notion of such non-Cauchy elastic bodies being transversely isotropic is defined in Rajagopal (Mech. Res. Commun. 64, 2015, 38-41), and by a body being residually stressed, we mean the interior of the body is not in a stress-free state although the boundary is free of traction as considered by Coleman and Noll (Arch. Ration. Mech. Anal. 15, 1964, 87-111) and by Hoger (Arch. Ration. Mech. Anal. 88, 1985, 271-289).
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页数：9
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