Dynamic crack growth in viscoelastic materials with memory
arXiv:2510.20599 · doi:10.1007/s00032-023-00384-3
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.
Published in 2023