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

共 50 条

[1] The Lagrange Multiplier in Incompressible Elasticity Theory
Roger Fosdick
Gianni Royer-Carfagni
[J]. Journal of Elasticity, 1999, 55 : 193 - 200
[2] A penalty interpretation for the Lagrange multiplier fields in incompressible multipolar elasticity theory
Fosdick, R
Royer-Carfagni, G
[J]. MATHEMATICS AND MECHANICS OF SOLIDS, 2005, 10 (04) : 389 - 413
[3] The Lagrange multipliers and hyperstress constraint reactions in incompressible multipolar elasticity theory
Fosdick, R
Royer-Carfagni, G
[J]. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2002, 50 (08) : 1627 - 1647
[4] Pseudonormality and a Lagrange multiplier theory for constrained optimization
Bertsekas, DP
Ozdaglar, AE
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2002, 114 (02) : 287 - 343
[5] Pseudonormality and a Lagrange Multiplier Theory for Constrained Optimization
D.P. Bertsekas
A.E. Ozdaglar
[J]. Journal of Optimization Theory and Applications, 2002, 114 : 287 - 343
[6] Is incompressible elasticity a conformal field theory?
Lazar, Markus
Anastassiadis, Charalampos
[J]. COMPTES RENDUS MECANIQUE, 2008, 336 (1-2): : 163 - 169
[7] MINIMIZATION IN INCOMPRESSIBLE NONLINEAR ELASTICITY THEORY
FOSDICK, RL
MACSITHIGH, GP
[J]. JOURNAL OF ELASTICITY, 1986, 16 (03) : 267 - 301
[8] Lagrange multiplier based transport theory for quantum wires
Kosov, DS
[J]. JOURNAL OF CHEMICAL PHYSICS, 2004, 120 (15): : 7165 - 7168
[9] Distributed Lagrange multiplier methods for incompressible viscous flow around moving rigid bodies
Glowinski, R
Pan, TW
Periaux, J
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1998, 151 (1-2) : 181 - 194
[10] A variational approach to sparsity optimization based on Lagrange multiplier theory
Ito, Kazufumi
Kunisch, Karl
[J]. INVERSE PROBLEMS, 2014, 30 (01)

← 1 2 3 4 5 →