3 papers
cond-mat.mtrl-sci2026
A Correction Method for Crack Area Overestimation in Phase-Field Fracture
M. Castillón, J. Segurado, I. Romero
Phase-field fracture models are known to overestimate the crack area, a discrepancy that compromises the accuracy of fracture predictions. This issue stems from the diffuse crack r…
math.NA2026
Proximal Galerkin for Phase Field Fracture
Miguel Castillón, Biswajit Khara, Jørgen S. Dokken +3
The phase-field method has emerged as a powerful tool for simulating fracture mechanics, yet it presents significant numerical challenges, particularly regarding the enforcement of…
cond-mat.mtrl-sci2025
A Phase-Field Approach to Fracture and Fatigue Analysis: Bridging Theory and Simulation
M. Castillón, I. Romero, J. Segurado
This article presents a novel, robust and efficient framework for fatigue crack-propagation that combines the principles of Linear Elastic Fracture Mechanics (LEFM) with phase-fiel…