Residual stresses for a new class of transversely isotropic nonlinear elastic solid-Reference-Cited by-同舟云学术

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

Published:2024-06-10 Issue: Volume: Page:
ISSN:1081-2865
Container-title:Mathematics and Mechanics of Solids
language:en
Short-container-title:Mathematics and Mechanics of Solids

Author:

Bustamante Roger¹^ORCID,Rajagopal Kumbakonam R²^ORCID,Wineman Alan³^ORCID

Affiliation:

1. Departamento de Ingeniería Mecánica, Universidad de Chile, Santiago, Chile

2. Department of Mechanical Engineering, University of Texas A&M, College Station, TX, USA

3. Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI, USA

Abstract

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).

Publisher

SAGE Publications

Link

https://journals.sagepub.com/doi/pdf/10.1177/10812865241250006

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