| Issue |
ESAIM: COCV
Volume 17, Number 1, January-March 2011
|
|
|---|---|---|
| Page(s) | 1 - 27 | |
| DOI | https://doi.org/10.1051/cocv/2009037 | |
| Published online | 09 October 2009 | |
Quasistatic crack evolution for a cohesive zone model with different response to loading and unloading: a Young measures approach
1
SISSA, via Beirut 2,
34014 Trieste, Italy. cagnetti@sissa.it
2
Univ. Udine,
Dip. Ingegneria Civile, via delle Scienze 208,
33100 Udine, Italy. toader@uniud.it
Received:
8
October
2008
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 and C. Zanini, Proc. Roy. Soc. Edinburgh Sect. A 137 (2007) 253–279] is recovered. In this case, the convergence of the discrete time approximations is improved.
Mathematics Subject Classification: 49K10 / 49Q20
Key words: Variational models / energy minimization / free discontinuity problems / crack propagation / Young measures / quasistatic evolution / rate-independent processes
© EDP Sciences, SMAI, 2009
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.