The Lagrange multiplier in incompressible elasticity theory

被引：7

作者：

Fosdick, R ^{[1
]}

Royer-Carfagni, G

机构：

[1] Univ Minnesota, Minneapolis, MN 55455 USA

[2] Univ Parma, Dept Civil Engn, I-43100 Parma, Italy

来源：

JOURNAL OF ELASTICITY | 1999年 / 55卷 / 03期

基金：

美国国家科学基金会;

关键词：

nonlinear incompressible elasticity; Lagrange multiplier;

D O I：

10.1023/A:1007647929053

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The first variation condition for the potential energy in nonlinear elasticity for incompressible materials provides a linear functional which vanishes on an appropriately constrained set of variations. We prove a representation theorem for such linear functionals which forms the basis for the existence of a constraint reaction (Lagrange multiplier) field.

引用

页码：193 / 200

页数：8

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