A CONSTITUTIVE EQUATION SATISFYING THE NULL CONDITION FOR NONLINEAR COMPRESSIBLE ELASTICITY 被引量：3

A CONSTITUTIVE EQUATION SATISFYING THE NULL CONDITION FOR NONLINEAR COMPRESSIBLE ELASTICITY

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摘要 This paper constructs a polyconvex stored energy function, satisfying the null condition, for isotropic compressible elastic materials with given Lame constants. The difference between this stored energy function and St Venant-Kirchhoff's is a three order term.

作者 QIN TIEHU

出处《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2002年第4期435-438,共4页 数学年刊（B辑英文版）

基金 Project supported by the National Natural Science of Foundation of China (No. 19871015)

关键词 Compressible elasticity Stored energy function Null condition 结构方程零条件非线性可压缩弹性学储能函数 Lamé常数

分类号 O175.27 [理学—基础数学]

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参考文献1

1XIN JIE Institute of Mathematics, Laboratory of Mathematics for Nonlinear Sciences, Pudan University, Shanghai 200433, China..SOME REMARKS ON THE NULL CONDITION FOR NONLINEAR ELASTODYNAMIC SYSTEM[J].Chinese Annals of Mathematics,Series B,2002,23(3):311-316. 被引量：2

二级参考文献10

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共引文献1

1XINJIE,QINTIEHU.ALMOST GLOBAL EXISTENCE OF DIRICHLETINITIAL-BOUNDARY VALUE PROBLEM FORNONLINEAR ELASTODYNAMIC SYSTEMOUTSIDE A STAR-SHAPED DOMAIN[J].Chinese Annals of Mathematics,Series B,2004,25(4):433-454.

同被引文献4

1XIN JIE Institute of Mathematics, Laboratory of Mathematics for Nonlinear Sciences, Pudan University, Shanghai 200433, China..SOME REMARKS ON THE NULL CONDITION FOR NONLINEAR ELASTODYNAMIC SYSTEM[J].Chinese Annals of Mathematics,Series B,2002,23(3):311-316. 被引量：2
2YAN PING Institute of Mathematics, Fudan University, Shanghai 200433, China.GLOBAL CLASSICAL SOLUTIONS WITH SMALL INITIAL TOTAL VARIATION FOR QUASILINEAR HYPERBOLIC SYSTEMS[J].Chinese Annals of Mathematics,Series B,2002,23(3):335-348. 被引量：5
3WANG LIBINInstitute of Mathematics, Fudan University, Shanghai 200433, China..FORMATION OF SINGULARITIES FOR A KIND OF QUASILINEAR NON-STRICTLY HYPERBOLIC SYSTEM[J].Chinese Annals of Mathematics,Series B,2002,23(4):439-454. 被引量：4
4KONG DEXING (Department of Applied Mathematics, Shanghai Jiaotong University, Shanghai 200030, China.).LIFE-SPAN OF CLASSICAL SOLUTIONSTO QUASILINEAR HYPERBOLIC SYSTEMSWITH SLOW DECAY INITIAL DATALIFE-SPAN OF CLASSICAL SOLUTIONSTO QUASILINEAR HYPERBOLIC SYSTEMSWITH SLOW DECAY INITIAL DATA[J].Chinese Annals of Mathematics,Series B,2000,21(4):413-440. 被引量：14

引证文献3

1XINJIE,QINTIEHU.ALMOST GLOBAL EXISTENCE OF DIRICHLETINITIAL-BOUNDARY VALUE PROBLEM FORNONLINEAR ELASTODYNAMIC SYSTEMOUTSIDE A STAR-SHAPED DOMAIN[J].Chinese Annals of Mathematics,Series B,2004,25(4):433-454.
2徐玉梅.BREAKDOWN OF CLASSICAL SOLUTION TO A KIND OF QUASILINEAR NON-STRICTLY HYPERBOLIC SYSTEMS[J].数学物理学报（A辑）,2006,26(B12):1089-1104.
3WANG LIBINInstitute of Mathematics, Fudan University, Shanghai 200433, China..FORMATION OF SINGULARITIES FOR A KIND OF QUASILINEAR NON-STRICTLY HYPERBOLIC SYSTEM[J].Chinese Annals of Mathematics,Series B,2002,23(4):439-454. 被引量：4

二级引证文献4

1LITATSIEN,WANGLIBIN.GLOBAL EXISTENCE OF WEAKLY DISCONTIN UOUS SOLUTIONS TO THE CAUCHY PROBLEM WITH A KIND OF NON-SMOOTH INITIAL DATA FOR QUASILINEAR HYPERBOLIC SYSTEMS[J].Chinese Annals of Mathematics,Series B,2004,25(3):319-334. 被引量：10
2徐玉梅.BREAKDOWN OF CLASSICAL SOLUTION TO A KIND OF QUASILINEAR NON-STRICTLY HYPERBOLIC SYSTEMS[J].数学物理学报（A辑）,2006,26(B12):1089-1104.
3Guo Fei School of Mathematical Sciences, Fudan University, Shanghai 200433, China,Department of Mathematics, Qufu Normal University, Shandong, 273165, China..GLOBAL EXISTENCE OF WEAKLY DISCONTINUOUS SOLUTIONS TO A KIND OF MIXED INITIAL-BOUNDARY VALUE PROBLEM FOR QUASILINEAR HYPERBOLIC SYSTEMS[J].Applied Mathematics(A Journal of Chinese Universities),2007,22(2):181-200. 被引量：2
4Wei Wei HAN1,2 1. Department of Applied Mathematics, Donghua University, Shanghai 201620, P. R. China,2. School of Mathematical Sciences, Fudan University, Shanghai 200433, P. R. China.Asymptotic Behavior of Global Classical Solutions to the Cauchy Problem on a Semi-Bounded Initial Axis for Quasilinear Hyperbolic Systems[J].Journal of Mathematical Research and Exposition,2010,30(1):41-53. 被引量：1

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Chinese Annals of Mathematics,Series B

2002年第4期

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