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Quasistatic crack evolution for a cohesive zone model with different response to loading and unloading: a Young measures approach

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posted on 2023-06-08, 18:44 authored by Filippo Cagnetti, Rodica Toader
A new approach to irreversible quasistatic fracture growth is given, by means of Young measures. The study concerns a cohesive zone model with prescribed crack path, when the material gives different responses to loading and unloading phases. In the particular situation of constant unloading response, the result contained in [G. Dal Maso, C. Zanini: Quasi-static crack growth for a cohesive zone model with prescribed crack path. Proc. Roy. Soc. Edinburgh Sect. A, 137A (2007), 253–279.] is recovered. In this case, the convergence of the discrete time approximations is improved.

History

Publication status

  • Published

File Version

  • Accepted version

Journal

ESAIM: Control, Optimisation and Calculus of Variations

ISSN

1292-8119

Publisher

EDP Sciences

Issue

1

Volume

17

Page range

1-27

Department affiliated with

  • Mathematics Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2014-10-20

First Open Access (FOA) Date

2014-10-20

First Compliant Deposit (FCD) Date

2014-10-18

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