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To the Problem of Constructing Weak Solutions in Dynamic Elastoplasticity

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Free Boundary Problems in Continuum Mechanics

Abstract

On the basis of formulation of elastic-plastic flow theory with isotropic and kinematic hardening in terms of variational inequality the integral generalization has been obtained which allows one to study the class of weak solutions. In the problem of shift waves propagation the comparison of discontinuous solutions for different hardenings has been carried out.

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References

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© 1992 Springer Basel AG

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Sadovskii, V.M. (1992). To the Problem of Constructing Weak Solutions in Dynamic Elastoplasticity. In: Antontsev, S.N., Khludnev, A.M., Hoffmann, KH. (eds) Free Boundary Problems in Continuum Mechanics. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 106. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8627-7_32

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  • DOI: https://doi.org/10.1007/978-3-0348-8627-7_32

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9705-1

  • Online ISBN: 978-3-0348-8627-7

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