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Decomposition of the Elastic-plastic Wave Equation into Advection Equations

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Hyperbolic Problems: Theory, Numerics, Applications

Part of the book series: International Series of Numerical Mathematics ((ISNM,volume 129))

Abstract

In this paper we present a numerical method of high order for solving the multidimensional elastic-plastic wave equation. The basic idea is to decompose the conservation law into advection equations which can be solved numerically. Furthermore, the occurrence of hysteresis makes it necessary to compute numerical approximations of the stress-strain relationship.

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References

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© 1999 Springer Basel AG

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Giese, G. (1999). Decomposition of the Elastic-plastic Wave Equation into Advection Equations. In: Fey, M., Jeltsch, R. (eds) Hyperbolic Problems: Theory, Numerics, Applications. International Series of Numerical Mathematics, vol 129. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8720-5_41

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  • DOI: https://doi.org/10.1007/978-3-0348-8720-5_41

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9742-6

  • Online ISBN: 978-3-0348-8720-5

  • eBook Packages: Springer Book Archive

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