8 citations · 9 across the 3 of their papers we have counts for
3 papers
math.NA2020
A Dimension-Reduction Model for Brittle Fractures on Thin Shells with Mesh Adaptivity
Stefano Almi, Sandro Belz, Stefano Micheletti +1
In this paper we derive a new two-dimensional brittle fracture model for thin shells via dimension reduction, where the admissible displacements are only normal to the shell surfac…
math.AP2019★ 1 cited
Approximation of the Mumford-Shah Functional by Phase Fields of Bounded Variation
Sandro Belz, Kristian Bredies
In this paper we introduce a new phase field approximation of the Mumford-Shah functional similar to the well-known one from Ambrosio and Tortorelli. However, in our setting the ph…
math.NA2017★ 8 cited
Consistent Finite-Dimensional Approximation of Phase-Field Models of Fracture
Stefano Almi, Sandro Belz
In this paper we focus on the finite-dimensional approximation of quasi-static evolutions of critical points of the phase-field model of brittle fracture. In a space discretized se…