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A Projection Approach to the Numerical Analysis of Limit Load Problems

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Date
2011
Link to item file
http://hal.archives-ouvertes.fr/hal-00450000/fr/
Dewey
Analyse
Sujet
functions of bounded deformation; penalizations; Nesterov algorithm; Limit load analysis
Journal issue
Mathematical Models and Methods in Applied Sciences
Volume
21
Number
6
Publication date
2011
Article pages
1291-1316
Publisher
World Scientific
DOI
http://dx.doi.org/10.1142/S0218202511005325
URI
https://basepub.dauphine.fr/handle/123456789/3876
Collections
  • CEREMADE : Publications
Metadata
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Author
Peyré, Gabriel
Ionescu, Ioan
Comte, Myriam
Carlier, Guillaume
Type
Article accepté pour publication ou publié
Abstract (EN)
This paper proposes a numerical scheme to approximate the solution of (vectorial) limit load problems. The method makes use of a strictly convex perturbation of the problem, which corresponds to a projection of the deformation field under bounded deformation and incompressibility constraints. The discretized formulation of this perturbation converges to the solution of the original landslide problem when the amplitude of the perturbation tends to zero. The projection is computed numerically with a multi-steps gradient descent on the dual formation of the problem.

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