4 papers
Second-Order Gamma Limit for the Cahn-Hilliard Functional with Dirichlet Boundary Conditions
Francesco Colasanto, Pascal Steinke
This paper addresses the asymptotic development of order 2 by Gamma convergence of the Cahn-Hillard functional with Dirichlet boundary conditions, where the potential has subquadra…
Phase-field modelling of cohesive fracture. Part III: From mathematical results to engineering application
Roberto Alessi, Francesco Colasanto, Matteo Focardi
This paper concludes a three-part effort aimed at developing a consistent and unified framework for the phase-field modeling of cohesive fracture. Building on the theoretical found…
Phase-field modelling of cohesive fracture. Part II: Reconstruction of the cohesive law
Roberto Alessi, Francesco Colasanto, Matteo Focardi
This is the second paper of a three-part work the main aim of which is to provide a unified consistent framework for the phase-field modelling of cohesive fracture. Building on the…
Phase-field modelling of cohesive fracture. Part I: -convergence results
Roberto Alessi, Francesco Colasanto, Matteo Focardi
The main aim of this three-part work is to provide a unified consistent framework for the phase-field modeling of cohesive fracture. In this first paper we establish the mathematic…