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Bifurcation and stability issues in gradient theories with softening

Abstract : A bifurcation and stability analysis is carried out here for a bar made of a material obeying a gradient damage model with softening. We show that the associated initial boundary-value problem is ill posed and one should expect mesh sensitivity in numerical solutions. However, in contrast to what happens for the underlying local damage model, the damage localization zone has a finite thickness and stability arguments can help in the selection of solutions.
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Submitted on : Monday, January 3, 2011 - 6:57:59 PM
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Ahmed Benallal, Jean-Jacques Marigo. Bifurcation and stability issues in gradient theories with softening. Modelling and Simulation in Materials Science and Engineering, IOP Publishing, 2007, 15 (1), pp.S283-S295. ⟨10.1088/0965-0393/15/1/S22⟩. ⟨hal-00551073⟩



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