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Fracture of heterogeneous materials

By Blaise Bourdin

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

'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.

Information about the video

Citation data

  • DOI 10.24350/CIRM.V.19918203
  • Cite this video Bourdin, Blaise (19/05/2022). Fracture of heterogeneous materials. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19918203
  • URL https://dx.doi.org/10.24350/CIRM.V.19918203

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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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