Beyond Elasticity: Advances and Research Challenges / Au-delà de l'élasticité : avancées dans la recherche et prochains défis

Collection Beyond Elasticity: Advances and Research Challenges / Au-delà de l'élasticité : avancées dans la recherche et prochains défis

Organisateur(s) Bonacini, Marco ; Cristoferi, Riccardo ; Davoli, Elisa ; Morandotti, Marco

Date(s) 16/05/2022 - 20/05/2022

URL associée https://conferences.cirm-math.fr/2535.html

00:00:00 / 00:00:00

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Polycrystals and composites in single-slip crystal plasticity: The interplay of anisotropy and geometry

De Carolin Kreisbeck

This talk revolves around two variational models in finite crystal plasticity where the possible deformations are restricted to plastic glide along one active slip system. In the first model for polycrystals, our focus lies on the set of attainable macroscopic strains, whose analysis is linked to the solvability of an inhomogeneous differential inclusion problem with affine boundary values. We discuss how to estimate this set by exploiting admissible boundary interaction, global compatibility, and the interplay between the slip mechanism and the polycrystalline texture. The second model describes high-contrast composites with periodically arranged layers and gives rise to energy functionals with non-convex differential constraints. We prove homogenization theorems via $\Gamma$-convergence in the Sobolev and BV setting and study the resulting limit models, addressing the uniqueness of minimizers and deriving necessary conditions. These results are joint work with Fabian Christowiak (University of Regensburg), Elisa Davoli (TU Vienna), Dominik Engl (KU Eichstätt-Ingolstadt), and Rita Ferreira (KAUST).

Informations sur la vidéo

Date de captation 16/05/2022
Date de publication 17/06/2022
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs, Doctorants
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.19918403
Citer cette vidéo Kreisbeck, Carolin (16/05/2022). Polycrystals and composites in single-slip crystal plasticity: The interplay of anisotropy and geometry. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19918403
URL https://dx.doi.org/10.24350/CIRM.V.19918403

Domaine(s)

Equations aux dérivées partielles

Bibliographie

ENGL, Dominik et KREISBECK, Carolin. On the interplay of anisotropy and geometry for polycrystals in single-slip crystal plasticity. arXiv preprint arXiv:2109.01022, 2021. - https://arxiv.org/abs/2109.01022
DAVOLI, Elisa, FERREIRA, Rita, et KREISBECK, Carolin. Homogenization in BV of a model for layered composites in finite crystal plasticity. Advances in calculus of variations, 2021, vol. 14, no 3, p. 441-473. - https://doi.org/10.1515/acv-2019-0011
CHRISTOWIAK, Fabian et KREISBECK, Carolin. Homogenization of layered materials with rigid components in single-slip finite crystal plasticity. Calculus of variations and partial differential equations, 2017, vol. 56, no 3, p. 1-28. - https://doi.org/10.1007/s00526-017-1171-3
DAVOLI, Elisa et KREISBECK, Carolin. On static and evolutionary homogenization in crystal plasticity for stratified composites. arXiv preprint arXiv:2108.00038, 2021. - https://arxiv.org/abs/2108.00038

Codes MSC

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