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, A density result in GSBDp with applications to the approximation of brittle fracture energies, Submitted
  2. V. Crismale, G. Orlando, A Reshetnyak-type lower semicontinuity result for linearised elasto-plasticity coupled with damage in W1,n, Submitted
  3. V. Crismale, G. Lazzaroni, G. Orlando, Cohesive fracture with irreversibility: quasistatic evolution for a model subject to fatigue, Submitted
  4. 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)
  5. V. Crismale, Globally stable quasistatic evolutions for strain gradient plasticity coupled with damage
    Ann. Mat. Pura Appl. 196, 641-685 (2017)
  6. V. Crismale, G. Lazzaroni, Viscous approximation of quasistatic evolutions for a coupled elastoplastic damage model, Calc. Var. Partial Differ. Equ. 55 : Art. 17 (2016)
  7. V. Crismale, Globally stable quasistatic evolution for a coupled elastoplastic–damage model
    ESAIM Control Optim. Calc. Var. 22, 883-912 (2016)