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Existence and Uniqueness Results for Viscoelastic Materials

  • Chapter
Crack and Contact Problems for Viscoelastic Bodies

Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 356))

Abstract

In this course some analytical problems present in the mathematical theory of the viscoelasticity will be studied. In particular we consider:

  • the definition of materials with fading memory, without the use of a-priori topologies on the history space, but only impose directly this condition of fading memory on the constitutive functional,

  • the derivation of free energies for the linear problem and their connection with the norms of history spaces

  • a theorem on the domain of dependence proved by means of the free energies properties; this theorem asserts the finite velocity of the signal and assures the hyperbolicity of the integrodifferential system

  • theorems of existence, uniqueness and asymptotic stability for the quasi-static and dynamical problem of linear viscoelasticity.

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Author information

Authors and Affiliations

  1. University of Bologna, Bologna, Italy

    M. Fabrizio

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  1. M. Fabrizio
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Editor information

Editors and Affiliations

  1. Simon Fraser University, Canada

    G. A. C. Graham

  2. Texas A & M University, USA

    J. R. Walton

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© 1995 Springer-Verlag Wien

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Fabrizio, M. (1995). Existence and Uniqueness Results for Viscoelastic Materials. In: Graham, G.A.C., Walton, J.R. (eds) Crack and Contact Problems for Viscoelastic Bodies. International Centre for Mechanical Sciences, vol 356. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2694-3_2

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  • DOI: https://doi.org/10.1007/978-3-7091-2694-3_2

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-82686-7

  • Online ISBN: 978-3-7091-2694-3

  • eBook Packages: Springer Book Archive

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