3 papers
math.AP2025
Dimension reduction for time-dependent von Kármán rods
Federico Cianci, Bernd Schmidt
This paper aims to study the convergence of solutions in three-dimensional nonlinear elastodynamics for a thin rod as its cross section shrinks to zero for displacements that are c…
math.AP2025
Dynamic crack growth in viscoelastic materials with memory
Federico Cianci
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 dynam…
math.AP2025
Uniqueness and continuous dependence for a viscoelastic problem with memory in domains with time dependent cracks
Federico Cianci, Gianni Dal Maso
We study some hyperbolic partial integro-differential systems in domains with time dependent cracks. In particular, we give conditions on the cracks which imply the uniqueness of t…