Abstract
In this paper, we face the question of describing the incremental motion of pre-stressed isotropic homogeneous compressible viscoelastic materials of differential type. We obtain a set of linear evolution equations which generalizes the previous mathematical description of the problem. Well-posedeness of the associated Cauchy problems and dissipation properties are established as well. In the final part, a reduction to a unique equation of the sixth order is derived, and a physical example is exhibited.
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Colonnelli, S., Mugnai, D. & Salvatori, M.C. Incremental equations for pre-stressed compressible viscoelastic materials. Z. Angew. Math. Phys. 64, 679–703 (2013). https://doi.org/10.1007/s00033-012-0254-4
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DOI: https://doi.org/10.1007/s00033-012-0254-4