Skip to Main content Skip to Navigation
Journal articles

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.
Complete list of metadatas

Cited literature [18 references]  Display  Hide  Download

https://hal-polytechnique.archives-ouvertes.fr/hal-00551073
Contributor : Jean-Jacques Marigo <>
Submitted on : Monday, January 3, 2011 - 6:57:59 PM
Last modification on : Thursday, March 5, 2020 - 6:25:40 PM
Document(s) archivé(s) le : Monday, April 4, 2011 - 2:45:43 AM

File

msme-benallalmarigo_VR_.pdf
Files produced by the author(s)

Identifiers

Citation

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⟩

Share

Metrics

Record views

357

Files downloads

1066