Prof. Matteo Negri Università degli Studi di Pavia Dipartimento di Matematica Via Ferrata 1 - 27100 Pavia - Italy Ufficio E21 email matteo {dot} negri [at] unipv {dot} it email prof {dot} matteo {dot} negri [at] universitadipavia {dot} it

Corsi a.a. 2024/25

• Analisi Matematica 1 (Laurea in Matematica e in Fisica)
  
• Analisi Funzionale ed Equazioni Differenziali (Laurea Magistrale in Matematica)

Ricevimento studenti: su appuntamento.

Research

• Field: Calculus of Variations.
• Subjects: Free Discontinuity Problems, Γ- convergence, BV and BD spaces, Rate-Independent Evolutions, Gradient Flows, Finite Element Methods.
• Applications: Fracture Mechanics, Finite and Linearized Elasticity, Image Segmentation.

Recent Publications

• B. Grossman-Ponemon, A. Lew, M. Negri
  Analysis of a Method to Compute Mixed-Mode Stress Intensity Factors for Non-Planar Cracks in Three-Dimensions.
  ESAIM Math. Model. Numer. Anal. 57 (2023) 1195-1223
  [journal]
• L. Greco, A. Patton, M. Negri, A. Marengo, U. Perego, A. Reali
  Higher order phase-field modeling of brittle fracture via Isogeometric Analysis.
  Eng. Comp. (2024)
  [journal]
• M. Negri
  Homogenization of Griffith's Criterion for brittle Laminates.
  Archive Rational Mech. Anal.
  [arXiv] [journal]
• M. Negri
  Modelling paintings on canvas and simulation of local crack patterns.
  Mathematical Modeling in Cultural Heritage. Springer INdAM Series
• B. Grossman-Ponemon, E. Maggiorelli, A.J. Lew, M. Negri
  How do cracks in brittle materials evolve, and how do we compute them?
  IACM Expressions #54
• L. Greco, E. Maggiorelli, M. Negri, A. Patton, A. Reali
  AT1 fourth-order isogeometric phase-field modeling of brittle fracture.
  

Recent and forthcoming conferences

• Stress and crack patterns in paintings on canvas
  MACH23 (Rome, 2023)
• Phase-field evolutions generated by staggered minimization schemes
  Variational Models for Material Failure (Erlangen, 2023)
• Evolutionary Gamma-convergence and homogenization of brittle fracture
  Variational and Geometric Structures for Evolution (Levico Terme, 2023)
• Griffith’s criterion for sharp crack and phase field fracture
  FRASCAL colloquium (online)
• Energy release and Griffith’s criterion for phase field fracture
  Fracture as an emergent phenomenon (Oberwolfach, 2024)
• Fracture Mechanics: from Analysis to Applications
  Spring Workshop COMPMAT (Pavia, 2024)
• Evolutionary Gamma-convergence and effective toughness in brittle periodic laminates
  International Conference on Elliptic and Parabolic Problems (Gaeta, 2024)
• Griffith's criterion for sharp crack and phase field fracture
  Italian-Japanese Workshop on Variational Perspectives for PDEs (Pavia, 2024)
• Rate-independent evolutions in phase-field fracture generated by equilibrium configurations
  Nečas Seminar on Continuum Mechanics (Prague, Charles University, 2024)
• Effective toughness for brittle periodic laminates
  IUTAM - Symposium "Computational Fracture Mechanics in Multi-field Problems" (Bad Honnef, 2024)

A couple of numerical result

Segmentation of a noisy image (a detail from "La dama dell'ermellino" by L. Da Vinci) using Mumford-Shah functional.

Craquelure patterns in pottery (simulations of local qualitative features developed in FreeFem++)