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Cited article:

Phase-Field Approximation of a Vectorial, Geometrically Nonlinear Cohesive Fracture Energy

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Archive for Rational Mechanics and Analysis 248 (2) (2024)
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Singular limits of a coupled elasto-plastic damage system as viscosity and hardening vanish

Vito Crismale, Giuliano Lazzaroni and Riccarda Rossi
Annali di Matematica Pura ed Applicata (1923 -) 202 (3) 1271 (2023)
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Shape derivatives of energy and regularity of minimizers for shallow elastic shells with cohesive cracks

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Nonlinear Analysis: Real World Applications 65 103505 (2022)
https://doi.org/10.1016/j.nonrwa.2021.103505

Fully discrete approximation schemes for rate-independent crack evolution

Dorothee Knees, Andreas Schröder and Viktor Shcherbakov
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 380 (2236) (2022)
https://doi.org/10.1098/rsta.2021.0361

Balanced Viscosity Solutions to a Rate-Independent Coupled Elasto-plastic Damage System

Vito Crismale and Riccarda Rossi
SIAM Journal on Mathematical Analysis 53 (3) 3420 (2021)
https://doi.org/10.1137/19M1303563

Cohesive Fracture in 1D: Quasi-static Evolution and Derivation from Static Phase-Field Models

Marco Bonacini, Sergio Conti and Flaviana Iurlano
Archive for Rational Mechanics and Analysis 239 (3) 1501 (2021)
https://doi.org/10.1007/s00205-020-01597-1

Existence, Energy Identity, and Higher Time Regularity of Solutions to a Dynamic Viscoelastic Cohesive Interface Model

Matteo Negri and Riccardo Scala
SIAM Journal on Mathematical Analysis 53 (5) 5682 (2021)
https://doi.org/10.1137/20M1355823

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

Antonin Chambolle and Vito Crismale
Advances in Calculus of Variations 14 (4) 475 (2021)
https://doi.org/10.1515/acv-2019-0018

Irreversibility and alternate minimization in phase field fracture: a viscosity approach

Stefano Almi
Zeitschrift für angewandte Mathematik und Physik 71 (4) (2020)
https://doi.org/10.1007/s00033-020-01357-x

Crack growth by vanishing viscosity in planar elasticity

Stefano Almi, Giuliano Lazzaroni and Ilaria Lucardesi
Mathematics in Engineering 2 (1) 141 (2020)
https://doi.org/10.3934/mine.2020008

Energy release rate and stress intensity factors in planar elasticity in presence of smooth cracks

Stefano Almi and Ilaria Lucardesi
Nonlinear Differential Equations and Applications NoDEA 25 (5) (2018)
https://doi.org/10.1007/s00030-018-0536-4

Cohesive fracture with irreversibility: Quasistatic evolution for a model subject to fatigue

Vito Crismale, Giuliano Lazzaroni and Gianluca Orlando
Mathematical Models and Methods in Applied Sciences 28 (07) 1371 (2018)
https://doi.org/10.1142/S0218202518500379

On the Quasistatic Limit of Dynamic Evolutions for a Peeling Test in Dimension One

Giuliano Lazzaroni and Lorenzo Nardini
Journal of Nonlinear Science 28 (1) 269 (2018)
https://doi.org/10.1007/s00332-017-9407-0

Linearly constrained evolutions of critical points and an application to cohesive fractures

Marco Artina, Filippo Cagnetti, Massimo Fornasier and Francesco Solombrino
Mathematical Models and Methods in Applied Sciences 27 (02) 231 (2017)
https://doi.org/10.1142/S0218202517500014