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Pré-publication, Document de travail

Applications of conic programming in non-smooth mechanics

Abstract : In the field of nonlinear mechanics, many challenging problems (e.g. plasticity, contact, masonry structures, nonlinear membranes) turn out to be expressible as conic programs. In general, such problems are non-smooth in nature (plasticity condition, unilateral condition, etc.), which makes their numerical resolution through standard Newton methods quite difficult. Their formulation as conic programs alleviates this difficulty since large-scale conic optimization problems can now be solved in a very robust and efficient 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 plasticity with nonlinear hardening, nonlinear membranes, minimal crack surfaces and visco-plastic fluid flows.
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Pré-publication, Document de travail
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https://hal-enpc.archives-ouvertes.fr/hal-03553836
Contributeur : Jérémy Bleyer Connectez-vous pour contacter le contributeur
Soumis le : jeudi 3 février 2022 - 08:45:55
Dernière modification le : mercredi 11 mai 2022 - 03:50:09

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  • HAL Id : hal-03553836, version 1
  • ARXIV : 2202.00928

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Jeremy Bleyer. Applications of conic programming in non-smooth mechanics. 2022. ⟨hal-03553836⟩

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