@article {2020, title = {A dynamic model for viscoelastic materials with prescribed growing cracks}, volume = {199}, year = {2020}, month = {2020/08/01}, pages = {1263 - 1292}, abstract = {

In this paper, we prove the existence of solutions for a class of viscoelastic dynamic systems on time-dependent cracked domains, with possibly degenerate viscosity coefficients. Under stronger regularity assumptions, we also show a uniqueness result. Finally, we exhibit an example where the energy-dissipation balance is not satisfied, showing there is an additional dissipation due to the crack growth.

}, isbn = {1618-1891}, url = {https://doi.org/10.1007/s10231-019-00921-1}, author = {Maicol Caponi and Francesco Sapio} }