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.
https://hal-polytechnique.archives-ouvertes.fr/hal-00490540
Contributor : Jean-Jacques Marigo
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Submitted on : Wednesday, June 9, 2010 - 12:44:53 AM
Last modification on : Wednesday, March 27, 2019 - 4:16:23 PM
Long-term archiving on: Friday, October 19, 2012 - 3:46:21 PM
Jean-Jacques Marigo, Kim Pham. Stability of non localized responses for damaging materials. Vietnam Journal of Mechanics, Viện Hàn Lâm Khoa học và Công nghệ Việt Nam, 2010, 30 (4), pp.1-11. ⟨hal-00490540⟩
