In this paper we introduce a model of dynamic crack growth in viscoelastic materials, 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.
Dynamic Crack Growth in Viscoelastic Materials with Memory / Cianci, Federico. - In: MILAN JOURNAL OF MATHEMATICS. - ISSN 1424-9286. - 91:2(2023), pp. 331-351. [10.1007/s00032-023-00384-3]
Dynamic Crack Growth in Viscoelastic Materials with Memory
Cianci, Federico
2023-01-01
Abstract
In this paper we introduce a model of dynamic crack growth in viscoelastic materials, 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.File in questo prodotto:
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