Published Paper
Inserted: 30 may 2022
Last Updated: 28 oct 2023
Journal: Milan Journal of Mathematics
Year: 2022
Doi: 10.1007/s00032-023-00384-3
Links:
Open access
Abstract:
In this paper we introduce a model of dynamic crack growth in viscoelastic material, where the damping term depends on the history of the deformation. The model is based on a dynamic energy dissipation balance and on a maximal dissipation condition. Our main result is an existence theorem in dimension two under some a priori regularity constraints on the cracks.
Keywords: elastodynamics, Viscoelasticity, crack growth, evolution problems with memory
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