16 citations · 28 across the 7 of their papers we have counts for
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math.AP2019
A quasi-static model for craquelure patterns
Matteo Negri
We consider the quasi-static evolution of a brittle layer on a stiff substrate; adhesion between layers is assumed to be elastic. Employing a phase-field approach we obtain the qua…
math.AP2019
Weak solutions for gradient flows under monotonicity constraints
Matteo Negri, Masato Kimura
We consider the gradient flow of a quadratic non-autonomous energy under monotonicity constraint in time and natural regularity assumptions. We provide first a notion of weak solut…
math.AP2019★ 11 cited
Analysis of staggered evolutions for nonlinear energies in phase field fracture
Stefano Almi, Matteo Negri
We consider a class of separately convex phase field energies employed in fracture mechanics, featuring non-interpenetration and a general softening behavior. We analyze the time-d…