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Stability of non localized responses for damaging materials
Abstract : This work is devoted to the analysis of the stability of the homogeneous states of a bar made of a brittle strain softening material submitted to a tensile loading. We distinguish two types of damage models: local damage models and gradient damage models. We show that a local damage model necessarily leads to the unstability of the homogeneous response once the first damage threshold is reached. On the contrary, in the case of a gradient damage model, viewed as a regularization of the underlying local model, the homogeneous damage states of “sufficiently small” bars are stable.
Cited literature [16 references]
https://hal-polytechnique.archives-ouvertes.fr/hal-00490540
Contributor : Jean-Jacques Marigo <>
Submitted on : Wednesday, June 9, 2010 - 12:44:53 AM
Last modification on : Friday, March 6, 2020 - 1:04:16 AM
Document(s) archivé(s) le : Friday, October 19, 2012 - 3:46:21 PM
Contributor : Jean-Jacques Marigo <>
Submitted on : Wednesday, June 9, 2010 - 12:44:53 AM
Last modification on : Friday, March 6, 2020 - 1:04:16 AM
Document(s) archivé(s) le : Friday, October 19, 2012 - 3:46:21 PM
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2009-VJM-PhaMar.pdf
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