Applications of conic programming in non-smooth mechanics
BLEYER
Type de document
NOTE INTERNE OU DE TRAVAIL
Langue
anglais
Auteur
BLEYER
Résumé / Abstract
In the ?eld of nonlinear mechanics, many challenging problems (e.g. plasticity, contact, masonry structures, nonlinear membranes) turn out to be ex-pressible as conic programs. In general, such problems are non-smooth in nature (plasticity condition, unilateral condition, etc.), which makes their numerical reso-lution through standard Newton methods quite di?cult. Their formulation as conic programs alleviates this di?culty since large-scale conic optimization problems can now be solved in a very robust and e?cient manner, thanks to the development of dedicated interior-point algorithms. In this contribution, we review old and novel formulations of various non-smooth mechanics problems including associated plas-ticity with nonlinear hardening, nonlinear membranes, minimal crack surfaces and visco-plastic ?uid ?ows.
