A VARIATIONAL DEFINITION OF THE STRAIN-ENERGY FOR AN ELASTIC STRING

被引：146

作者：

ACERBI, E

BUTTAZZO, G

PERCIVALE, D

机构：

[1] UNIV FERRARA, DIPARTMENTO MATEMAT, I-44100 FERRARA, ITALY

[2] SCUOLA INT SUPER STUDI AVANZATI, TRIESTE, ITALY

来源：

JOURNAL OF ELASTICITY | 1991年 / 25卷 / 02期

关键词：

D O I：

10.1007/BF00042462

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Using the variational point of view, the constitutive equations of an elastic one-dimensional string are deduced from the stress-strain relations of nonlinear three-dimensional elasticity, by passing to the limit when the other dimensions go to zero. The assumptions made on the three-dimensional model are not very restrictive.

引用

页码：137 / 148

页数：12

共 8 条

[1]

ACERBI E, 1988, J REINE ANGEW MATH, V386, P99

[2]

Ball J. M., 1977, RES NOTES MATH, V17, P187

[3]

BALL JM, 1977, ARCH RATION MECH AN, V63, P337, DOI 10.1007/BF00279992

[4] JUSTIFICATION OF A NON-LINEAR MODEL IN PLATE THEORY [J].

CIARLET, PG ;

DESTUYNDER, P .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1979, 17-8 (JAN) :227-258

[5]

DEGIORGI E, 1983, LECTURE NOTES MATH, V979

[6]

EKELAND I, 1974, ANAL CONVEXE PROBLEM

[7]

KOHN RV, 1985, Q APPL MATH, V43, P1

[8]

TRELOAR LRG, 1975, PHYSICS RUBBER ELAST

← 1 →