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Symmetrizing Nonlinear Elastodynamic System

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Abstract

In this paper, we reduce the nonlinear elastic dynamic system, with a polyconvex stored energy function, to a first order symmetric hyperbolic system in the form of conservation laws.

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References

  1. J.M. Ball, Convexity conditions and existence theorems in nonlinear elasticity, Arch. Rational Mech. Anal. 63(1977) 337-403.

    Article  MATH  ADS  Google Scholar 

  2. P.G. Ciarlet, Mathematical Elasticity, Volume I, Studies in Mathematics and its Applications 20North-Holland, 1988.

  3. E. Godlewski and P-A. Raviart, Numerical approximation of Hyperbolic Systems of Conservation laws, Springer-Verlag, 1996.

  4. S.K. Godounov, Lois de conservation et integrales d'energie des equations hyperboliques, Lecture Notes in Mathematics, vol. 1270, Springer-Verlag (1986) 126-134.

    Google Scholar 

  5. A. Harten and P.D. Lax, Random choice finite difference schemes, SIAM J. Num. Anal. 18(1981) 289-315.

    Article  MATH  MathSciNet  Google Scholar 

  6. F. John, Finite amplitude waves in a homogeneous isotropic elastic solid, Comm. Pure Appl. Math. VXXX(1977) 421-446.

    Google Scholar 

  7. P.D. Lax, Symmetrizing hyperbolic differential equations, Lecture Notes in Mathematics, vol. 1270, Springer-Verlag (1986) 150-151.

    Article  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Fudan University, Shanghai, 200433, P.R. of China

    Qin Tiehu

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  1. Qin Tiehu
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Tiehu, Q. Symmetrizing Nonlinear Elastodynamic System. Journal of Elasticity 50, 245–252 (1998). https://doi.org/10.1023/A:1007488013851

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  • DOI: https://doi.org/10.1023/A:1007488013851

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