%0 Journal Article %D 2020 %T A dynamic model for viscoelastic materials with prescribed growing cracks %A Maicol Caponi %A Francesco Sapio %X

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.

%V 199 %P 1263 - 1292 %8 2020/08/01 %@ 1618-1891 %G eng %U https://doi.org/10.1007/s10231-019-00921-1 %N 4 %! Annali di Matematica Pura ed Applicata (1923 -)