4 papers
A direct method for doubly nonlinear equations via convexification in spaces of measures and duality
Alessandro Pinzi, Filippo Riva, Giuseppe Savaré
Existence of solutions to doubly nonlinear equations in reflexive Banach spaces is established by resorting to a global-in-time variational approach inspired by De Giorgi's princip…
From cohesive to brittle debonding: the quasistatic framework
Filippo Riva
The approximation of brittle laws via steeper and steeper cohesive profiles is validated within the mechanical setting of debonding models, which describe the detachment process of…
The effects of pressure loads in the dimension reduction of elasticity models
Martin Kružík, Filippo Riva
We study the dimensional reduction from three to two dimensions in hyperelastic materials subject to a live load, modeled as a constant pressure force. Our results demonstrate that…
Potential-based versus non potential-based cohesive models accounting for loading and unloading with application to sliding elastic laminates
Francesco Freddi, Filippo Riva
A rigorous unified perspective of cohesive zone models is presented, including and comparing potential-based and non potential-based formulations, and encompassing known examples s…