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Fracture of heterogeneous materials
Multi angle
Authors : Bourdin, Blaise (Author of the conference)
CIRM (Publisher )
74R10 - Brittle fracture
74A45 - Theories of fracture and damage
35Q74 - PDEs in connection with mechanics of deformable solids
CIRM (Publisher )
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Abstract :
'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
MSC Codes : 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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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 17/06/2022 Conference Date : 19/05/2022 Subseries : Research talks arXiv category : Condensed Matter Mathematical Area(s) : Analysis and its Applications ; Mathematics in Science & Technology Format : MP4 (.mp4) - HD Video Time : 00:39:17 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2022-05-19_Bourdin.mp4 
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Information on the Event
Event Title : Beyond Elasticity: Advances and Research Challenges / Au-delà de l'élasticité : avancées dans la recherche et prochains défisEvent Organizers : Bonacini, Marco ; Cristoferi, Riccardo ; Davoli, Elisa ; Morandotti, Marco Dates : 16/05/2022 - 20/05/2022 Event Year : 2022 Event URL : https://conferences.cirm-math.fr/2535.html
Citation Data
DOI : 10.24350/CIRM.V.19918203Cite this video as: 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 |
See Also
- [Multi angle] Frustration in a spin model: chirality transitions via a variational analysis / Author of the conference Orlando, Gianluca.
- [Multi angle] Explicit minimizers for a class of nonlocal interaction energies / Author of the conference Mora, Maria-Giovanna.
- [Multi angle] Polycrystals and composites in single-slip crystal plasticity: The interplay of anisotropy and geometry / Author of the conference Kreisbeck, Carolin.
- [Multi angle] On the convergence of critical points of the Ambrosio-Tortorelli functional / Author of the conference Babadjian, Jean-François.
Bibliography
- 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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