My research interests concern the Calculus of Variations and its application to Materials Science. In particular I have worked on models for quasistatic evolution of elastoplasticity coupled with damage, and of cohesive and brittle fractures. I am interested also in the mathematical treatment of fatigue, that may cause damage and rupture.

Publications and preprints

⁠⁠⁠All preprint versions and my PhD thesis are available on my CVGMT profile (see also Arxiv profile)
  1. A. Chambolle, V. Crismale, Phase-field approximation for a class of cohesive fracture energies with an activation threshold, Submitted
  2. A. Chambolle, V. Crismale, Existence of strong solutions to the Dirichlet problem for the Griffith energy, Accepted for publication on Calc. Var. Partial Differ. Equ.
  3. V. Crismale, Density in SBD and approximation of fracture energies, Accepted for publication on Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.
  4. R. Alessi, V. Crismale, G. Orlando, Fatigue effects in elastic materials with variational damage models: A vanishing viscosity approach, J. Nonlinear Sci. 29, 1041-1094 (2019)
  5. V. Crismale, On the approximation of SBD functions and some applications, Submitted
  6. A. Chambolle, V. Crismale, Compactness and lower semicontinuity in GSBD
    Accepted for publication on J. Eur. Math. Soc. (JEMS)
  7. A. Chambolle, V. Crismale, A density result in GSBDp with applications to the approximation of brittle fracture energies
    Arch. Ration. Mech. Anal. 232, 1329-1378 (2019)
  8. V. Crismale, G. Orlando, A Reshetnyak-type lower semicontinuity result for linearised elasto-plasticity coupled with damage in W1,n, Nonl. Diff. Eqns. Appl. (NoDEA) 25 : Art. 16 (2018)
  9. V. Crismale, G. Lazzaroni, G. Orlando, Cohesive fracture with irreversibility: quasistatic evolution for a model subject to fatigue, Math. Models Methods Appl. Sci. (M3AS) 28, 1371-1412 (2018)
  10. V. Crismale, G. Lazzaroni, Quasistatic crack growth based on viscous approximation: a model with branching and kinking, Nonl. Diff. Eqns. Appl. (NoDEA) 24 : Art. 7 (2017)
  11. V. Crismale, Globally stable quasistatic evolutions for strain gradient plasticity coupled with damage
    Ann. Mat. Pura Appl. 196, 641-685 (2017)
  12. V. Crismale, G. Lazzaroni, Viscous approximation of quasistatic evolutions for a coupled elastoplastic damage model
    Calc. Var. Partial Differ. Equ. 55 : Art. 17 (2016)
  13. V. Crismale, Globally stable quasistatic evolution for a coupled elastoplastic–damage model
    ESAIM Control Optim. Calc. Var. 22, 883-912 (2016)