5 citations · 12 across the 5 of their papers we have counts for
6 papers
The viscoelastic paradox in a nonlinear Kelvin-Voigt type model of dynamic fracture
Maicol Caponi, Alessandro Carbotti, Francesco Sapio
In this paper we consider a dynamic model of fracture for viscoelastic materials, in which the constitutive relation, involving the Cauchy stress and the strain tensors, is given i…
Evolution of crystalline thin films by evaporation and condensation in three dimensions
Paolo Piovano, Francesco Sapio
The morphology of crystalline thin films evolving on flat rigid substrates by condensation of extra film atoms or by evaporation of their own atoms in the surrounding vapor is stud…
Quasistatic limit of a dynamic viscoelastic model with memory
Gianni Dal Maso, Francesco Sapio
We study the behaviour of the solutions to a dynamic evolution problem for a viscoelastic model with long memory, when the rate of change of the data tends to zero. We prove that a…
An existence result for the fractional Kelvin-Voigt's model on time-dependent cracked domains
Maicol Caponi, Francesco Sapio
We prove an existence result for the fractional Kelvin-Voigt's model involving Caputo's derivative on time-dependent cracked domains. We first show the existence of a solution to a…
A dynamic model for viscoelasticity in domains with time-dependent cracks
Francesco Sapio
In this paper, we prove the existence of solutions for a class of viscoelastic dynamic systems on time-dependent cracking domains.
A dynamic model for viscoelastic materials with prescribed growing cracks
Maicol Caponi, Francesco Sapio
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. U…