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New ideas for the Variational Approach to Brittle and Cohesive Fracture

Publications

A derivation of Griffith functionals from discrete finite-difference models

Author(s): Crismale, Vito; Scilla, Giovanni; Solombrino, Francesco
Published in: Calculus of Variations and Partial Differential Equations, Issue 59/6, 2020, ISSN 1432-0835
DOI: 10.1007/s00526-020-01858-7

Fatigue Effects in Elastic Materials with Variational Damage Models: A Vanishing Viscosity Approach

Author(s): Roberto Alessi, Vito Crismale, Gianluca Orlando
Published in: Journal of Nonlinear Science, Issue 29/3, 2019, Page(s) 1041-1094, ISSN 0938-8974
DOI: 10.1007/s00332-018-9511-9

A lower semicontinuity result for linearised elasto-plasticity coupled with damage in <i>W</i><sup>1,<i>γ</i></sup>, <i>γ</i> > 1

Author(s): Vito Crismale, Gianluca Orlando
Published in: Mathematics in Engineering, Issue 2/1, 2020, Page(s) 101-118, ISSN 2640-3501
DOI: 10.3934/mine.2020006

Dissipative boundary conditions and entropic solutions in dynamical perfect plasticity

Author(s): Jean-François Babadjian, Vito Crismale
Published in: Journal de Mathématiques Pures et Appliquées, 2021, ISSN 0021-7824
DOI: 10.1016/j.matpur.2021.02.001

Existence of strong solutions to the Dirichlet problem for the Griffith energy

Author(s): Antonin Chambolle, Vito Crismale
Published in: Calculus of Variations and Partial Differential Equations, Issue 58/4, 2019, ISSN 0944-2669
DOI: 10.1007/s00526-019-1571-7

On the Approximation of SBD Functions and Some Applications

Author(s): Vito Crismale
Published in: SIAM Journal on Mathematical Analysis, Issue 51/6, 2019, Page(s) 5011-5048, ISSN 0036-1410
DOI: 10.1137/18m119522x

Compactness and lower semicontinuity in $GSBD$

Author(s): Antonin Chambolle, Vito Crismale
Published in: Journal of the European Mathematical Society, 2021, ISSN 1435-9855
DOI: 10.4171/jems/1021

Equilibrium Configurations for Epitaxially Strained Films and Material Voids in Three-Dimensional Linear Elasticity

Author(s): Vito Crismale, Manuel Friedrich
Published in: Archive for Rational Mechanics and Analysis, Issue 237/2, 2020, Page(s) 1041-1098, ISSN 0003-9527
DOI: 10.1007/s00205-020-01525-3

A Density Result in GSBDp with Applications to the Approximation of Brittle Fracture Energies

Author(s): Antonin Chambolle, Vito Crismale
Published in: Archive for Rational Mechanics and Analysis, Issue 232/3, 2019, Page(s) 1329-1378, ISSN 0003-9527
DOI: 10.1007/s00205-018-01344-7

Density in SBD and approximation of fracture energies

Author(s): Vito Crismale
Published in: Rendiconti Lincei - Matematica e Applicazioni, Issue 30/3, 2019, Page(s) 533-542, ISSN 1120-6330
DOI: 10.4171/rlm/859

Integral representation for energies in linear elasticity with surface discontinuities

Author(s): Vito Crismale, Manuel Friedrich, Francesco Solombrino
Published in: Advances in Calculus of Variations, Issue 0/0, 2020, ISSN 1864-8258
DOI: 10.1515/acv-2020-0047

Phase-field approximation for a class of cohesive fracture energies with an activation threshold

Author(s): Antonin Chambolle, Vito Crismale
Published in: Advances in Calculus of Variations, Issue 0/0, 2020, ISSN 1864-8258
DOI: 10.1515/acv-2019-0018