Letture consigliate
R. Alessi, F. Colasanto, and M. Focardi, Phase-Field Modeling of Cohesive Fracture. Part I: Gamma-Convergence Results, SIAM Journal on Mathematical Analysis, 58(1): 513 - 546.
Bourdin, B., Marigo, J.-J., Maurini, C., Zolesi, C. (2025). A variational approach to fracture incorporating any convex strength criterion. arXiv preprint arXiv:2506.22558.
A. Braides, Gamma-Convergence for Beginners. Meccanica, 2007.
J.S. Dokken, et al., The FEniCSx Tutorial. Web (2023): https://jsdokken.com/dolfinx-tutorial/
L. De Lorenzis, T. Gerasimov (2020), Numerical Implementation of Phase-Field Models of Brittle Fracture. In: Modeling in Engineering Using Innovative Numerical Methods for Solids and Fluids, CISM – International Center for Mechanical Sciences – Courses and Lectures, 599: 75-101.
J.S. Hale, et al. “FEniCSx examples at CISM 2024”. Web (last updated 2026) https://jhale.github.io/cism-2024-varfrac-code
León Baldelli, A. A., Maurini, C. (2021). Numerical bifurcation and stability analysis of variational gradient-damage models for phase-field fracture. JMPS, 152, 104424.
Marigo, J.-J., Maurini, C., Pham, K. (2016). An overview of the modelling of fracture by gradient damage models. Meccanica, 51(12), 3107–3128.
Tanné, E., Li, T., Bourdin, B., Marigo, J.-J., Maurini, C. (2018). Crack nucleation in variational phase-field models of brittle fracture. JMPS, 110, 80–99.
F. Vicentini, J. Heinzmann, P. Carrara, L. De Lorenzis (2026), Variational phase-field modeling of cohesive fracture with flexibly tunable strength surface. Journal of the Mechanics and Physics of Solids, 207:106424.
F. Vicentini, C. Zolesi, P. Carrara, C. Maurini, L. De Lorenzis (2024). On the energy decomposition in variational phase-field models for brittle fracture under multi-axial stress states. International Journal of Fracture, 247: 291-317.