English
Fracture of heterogeneous materials
Multi angle
Auteurs : Bourdin, Blaise (Auteur de la Conférence)
CIRM (Editeur )
74R10 - Brittle fracture
74A45 - Theories of fracture and damage
35Q74 - PDEs in connection with mechanics of deformable solids
CIRM (Editeur )
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Résumé :
'Effective' properties of heterogeneous elastic materials are now well understood, following years of progress in homogenization and calculus of variations. For brittle materials, the situation is quite different. For instance, empirical and experimental evidences of toughening point to a coupling between elastic and fracture properties of heterogeneous materials, which contradicts some mathematical results. In this talk, I will present an attempt at formalizing a concept of effective toughness, to compute it, and to design materials with extreme fracture properties.
Keywords : Brittle fracture; effective properties; phase-fields
Codes MSC : Keywords : Brittle fracture; effective properties; phase-fields
74R10 - Brittle fracture
74A45 - Theories of fracture and damage
35Q74 - PDEs in connection with mechanics of deformable solids
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 17/06/2022 Date de captation : 19/05/2022 Sous collection : Research talks arXiv category : Condensed Matter Domaine : Analysis and its Applications ; Mathematics in Science & Technology Format : MP4 (.mp4) - HD Durée : 00:39:17 Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2022-05-19_Bourdin.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Beyond Elasticity: Advances and Research Challenges / Au-delà de l'élasticité : avancées dans la recherche et prochains défisOrganisateurs de la rencontre : Bonacini, Marco ; Cristoferi, Riccardo ; Davoli, Elisa ; Morandotti, Marco Dates : 16/05/2022 - 20/05/2022 Année de la rencontre : 2022 URL Congrès : https://conferences.cirm-math.fr/2535.html
Données de citation
DOI : 10.24350/CIRM.V.19918203Citer cette vidéo: Bourdin, Blaise (2022). Fracture of heterogeneous materials. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19918203 URI : http://dx.doi.org/10.24350/CIRM.V.19918203 |
Voir aussi
- [Multi angle] Frustration in a spin model: chirality transitions via a variational analysis / Auteur de la Conférence Orlando, Gianluca.
- [Multi angle] Explicit minimizers for a class of nonlocal interaction energies / Auteur de la Conférence Mora, Maria-Giovanna.
- [Multi angle] Polycrystals and composites in single-slip crystal plasticity: The interplay of anisotropy and geometry / Auteur de la Conférence Kreisbeck, Carolin.
- [Multi angle] On the convergence of critical points of the Ambrosio-Tortorelli functional / Auteur de la Conférence Babadjian, Jean-François.
Bibliographie
- BOURDIN, Blaise. mef90/vDef: variational models of defect mechanics, 2019. - https://doi.org/10.5281/zenodo.3242131
- BOURDIN, Blaise, FRANCFORT, Gilles A., et MARIGO, Jean-Jacques. The variational approach to fracture. Journal of elasticity, 2008, vol. 91, no 1, p. 5-148. - https://doi.org/10.1007/s10659-007-9107-3
- BRACH, Stella, HOSSAIN, M. Z., BOURDIN, B., et al. Anisotropy of the effective toughness of layered media. Journal of the Mechanics and Physics of Solids, 2019, vol. 131, p. 96-111. - https://doi.org/10.1016/j.jmps.2019.06.021
- BRODNIK, N. R., BRACH, Stella, LONG, C. M., et al. Fracture Diodes: Directional asymmetry of fracture toughness. Physical Review Letters, 2021, vol. 126, no 2, p. 025503. - https://doi.org/10.1103/PhysRevLett.126.025503
- BRODNIK, Neal R., HSUEH, Chun-Jen, FABER, Katherine T., et al. Guiding and trapping cracks with compliant inclusions for enhancing toughness of brittle composite materials. Journal of Applied Mechanics, 2020, vol. 87, no 3, p. 031018. - https://doi.org/10.1115/1.4045682
- HOSSAIN, M. Z., HSUEH, C.-J., BOURDIN, B., et al. Effective toughness of heterogeneous media. Journal of the Mechanics and Physics of Solids, 2014, vol. 71, p. 15-32. - https://doi.org/10.1016/j.jmps.2014.06.002
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