# Existence, Energy Identity, and Higher Time Regularity of Solutions to a Dynamic Viscoelastic Cohesive Interface Model

@article{Negri2021ExistenceEI, title={Existence, Energy Identity, and Higher Time Regularity of Solutions to a Dynamic Viscoelastic Cohesive Interface Model}, author={Matteo Negri and Riccardo Scala}, journal={SIAM J. Math. Anal.}, year={2021}, volume={53}, pages={5682-5730} }

We study the dynamics of visco-elastic materials coupled by a common cohesive interface (or, equivalently, {two single domains separated by} a prescribed cohesive crack) in the anti-plane setting. We consider a general class of traction-separation laws featuring an activation threshold on the normal stress, softening and elastic unloading. In strong form, the evolution is described by a system of PDEs coupling momentum balance (in the bulk) with transmission and Karush-Kuhn-Tucker conditions…

## One Citation

Shape derivatives of energy and regularity of minimizers for shallow elastic shells with cohesive cracks

- Nonlinear Analysis: Real World Applications
- 2022

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