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

Published online by Cambridge University Press:  09 October 2009

Filippo Cagnetti  and
Rodica Toader
Filippo Cagnetti
Affiliation:
SISSA, via Beirut 2, 34014 Trieste, Italy. cagnetti@sissa.it
Rodica Toader
Affiliation:
Univ. Udine, Dip. Ingegneria Civile, via delle Scienze 208, 33100 Udine, Italy. toader@uniud.it
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Abstract

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. A137 (2007) 253–279] is recovered. In this case, the convergence of the discrete time approximations is improved.

Keywords

Variational modelsenergy minimizationfree discontinuity problemscrack propagationYoung measuresquasistatic evolutionrate-independent processes
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 17 , Issue 1 , January 2011 , pp. 1 - 27
Copyright
© EDP Sciences, SMAI, 2009

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References

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