ON THE RELATION BETWEEN POLYCONVEXITY AND RANK-ONE CONVEXITY IN NONLINEAR ELASTICITY

被引：18

作者：

ROSAKIS, P ^{[1
]}

SIMPSON, HC ^{[1
]}

机构：

[1] UNIV TENNESSEE,DEPT MATH,KNOXVILLE,TN 37996

来源：

JOURNAL OF ELASTICITY | 1995年 / 37卷 / 02期

关键词：

D O I：

10.1007/BF00040941

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

For elastic stored energy functions we examine some of the implications of polyconvexity and rank-one convexity, as well as the connection between the two conditions in the presence of certain additional restrictions.

引用

页码：113 / 137

页数：25

共 26 条

[1] AN EXAMPLE OF A QUASI-CONVEX FUNCTION THAT IS NOT POLYCONVEX IN 2 DIMENSIONS
ALIBERT, JJ
DACOROGNA, B
[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1992, 117 (02) : 155 - 166
[2] ON A COUNTEREXAMPLE OF A RANK-1 CONVEX FUNCTION WHICH IS NOT POLYCONVEX IN THE CASE N = 2
AUBERT, G
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1987, 106 : 237 - 240
[3] DISCONTINUOUS EQUILIBRIUM SOLUTIONS AND CAVITATION IN NON-LINEAR ELASTICITY
BALL, JM
[J]. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1982, 306 (1496): : 557 - 611
[4] DIFFERENTIABILITY PROPERTIES OF SYMMETRIC AND ISOTROPIC FUNCTIONS
BALL, JM
[J]. DUKE MATHEMATICAL JOURNAL, 1984, 51 (03) : 699 - 728
[5] BASIC CALCULUS OF VARIATIONS - REMARKS
BALL, JM
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1985, 116 (01) : 7 - 10
[6] BALL JM, 1977, ARCH RATION MECH AN, V63, P337, DOI 10.1007/BF00279992
[7] FINE PHASE MIXTURES AS MINIMIZERS OF ENERGY
BALL, JM
JAMES, RD
[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1987, 100 (01) : 13 - 52
[8] BERNSTEIN B, 1961, J MATH, V210, P65
[9] SOME EXAMPLES OF RANK ONE CONVEX-FUNCTIONS IN DIMENSION 2
DACOROGNA, B
DOUCHET, J
GANGBO, W
RAPPAZ, J
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1990, 114 : 135 - 150
[10] DACOROGNA B, 1990, DIRECT METHODS CALCU

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