Abstract
In this course some analytical problems present in the mathematical theory of the viscoelasticity will be studied. In particular we consider:
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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,
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the derivation of free energies for the linear problem and their connection with the norms of history spaces
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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
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theorems of existence, uniqueness and asymptotic stability for the quasi-static and dynamical problem of linear viscoelasticity.
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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
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