Implications of rank one convexity

J. Sivaloganathan

doi:10.1016/S0294-1449(16)30351-1

Implications of rank one convexity

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we study some of the implications for stability of equilibria in nonlinear elastostatics of assuming that the stored energy function is rank one convex.

Original language	English
Pages (from-to)	99-118
Number of pages	20
Journal	Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire
Volume	5
Issue number	2
DOIs	https://doi.org/10.1016/S0294-1449(16)30351-1
Publication status	Published - 1 Mar 1988

Funding

Thanks to John Ball, Rick James, Robin Knops and John Toland for their comments and interest in this work. Special thanks to Gareth Parry for many sustaining and stimulating discussions. This work was begun whilst visiting the I.M.A. at the University of Minesota and supported in part by a travel grant from the Royal Society.

Keywords

nonlinear elasticity
one parameter family of equilibria
Rank one convexity

ASJC Scopus subject areas

Analysis
Mathematical Physics
Applied Mathematics

Access to Document

10.1016/S0294-1449(16)30351-1

Cite this

@article{11a7f9319a2b4cf6af3b5e6dc9743c6e,

title = "Implications of rank one convexity",

abstract = "In this paper we study some of the implications for stability of equilibria in nonlinear elastostatics of assuming that the stored energy function is rank one convex.",

keywords = "nonlinear elasticity, one parameter family of equilibria, Rank one convexity",

author = "J. Sivaloganathan",

year = "1988",

month = mar,

day = "1",

doi = "10.1016/S0294-1449(16)30351-1",

language = "English",

volume = "5",

pages = "99--118",

journal = "Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire",

issn = "0294-1449",

publisher = "European Mathematical Society Publishing House",

number = "2",

}

TY - JOUR

T1 - Implications of rank one convexity

AU - Sivaloganathan, J.

PY - 1988/3/1

Y1 - 1988/3/1

N2 - In this paper we study some of the implications for stability of equilibria in nonlinear elastostatics of assuming that the stored energy function is rank one convex.

AB - In this paper we study some of the implications for stability of equilibria in nonlinear elastostatics of assuming that the stored energy function is rank one convex.

KW - nonlinear elasticity

KW - one parameter family of equilibria

KW - Rank one convexity

UR - http://www.scopus.com/inward/record.url?scp=0039389381&partnerID=8YFLogxK

U2 - 10.1016/S0294-1449(16)30351-1

DO - 10.1016/S0294-1449(16)30351-1

M3 - Article

AN - SCOPUS:0039389381

SN - 0294-1449

VL - 5

SP - 99

EP - 118

JO - Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire

JF - Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire

IS - 2

ER -

Implications of rank one convexity

Abstract

Funding

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this