Stability of non-localized responses for damaging materials

K. Pham, J. J. Marigo

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.

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DOI: https://doi.org/10.15625/0866-7136/30/4/5636 Display counter: Abstract : 28 views. PDF : 20 views.

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