Asymptotic shapes of inflated noncircular elastic rings-Reference-Cited by-同舟云学术

Asymptotic shapes of inflated noncircular elastic rings

Published:1985-03 Issue:2 Volume:97 Page:357-379
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Antman Stuart S.,Calderer M. Carme

Abstract

In this paper we study the asymptotic behaviour of large deformations of nonlinearly elastic, noncircular rings under internal hydrostatic pressure. These rings can undergo flexure, extension, and shear. Their governing equations are the same as those for the inflation of cylindrical shells.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference11 articles.

1. A. van der Heijden. On the influence of the bending stiffness in cable analysis;M;Koninkl. Nederl. Akad. v. Wetensch.,1973

2. Singularly perturbed boundary value problems for nonlinear systems, including a challenging problem for a nonlinear beam

3. Qualitative behavior of buckled nonlinearly elastic arches

4. Multiple Equilibrium States of Nonlinearly Elastic Strings

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Circumferentially flexible vascular grafts1;Journal of Biomechanics;1998-08

2. A Simplified Model of Fabric Drape Based on Ring Theory;Textile Research Journal;1996-08

3. A justification of nonlinear properly invariant plate theories;Archive for Rational Mechanics and Analysis;1993

4. Torsionless, Axisymmetric Motion of Shells of Revolution (Axishells);The Nonlinear Theory of Elastic Shells;1988

5. Corrigenda;Mathematical Proceedings of the Cambridge Philosophical Society;1987-03