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Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 66))

Abstract

Brittle fracture mechanics is classically thought of as operating under various restrictive premises, two of which seem both drastic and unrealistic: no crack will appear unless a crack is already present; cracks propagate along predefined trajectories. Our main goal is to do away with the above, while departing as little as possible from the sanctity of Griffith’s criterion. In a nutshell, the following will be achieved:

  1. 1.

    crack initiation, and its subsequent evolution till complete failure of the loaded sample,

  2. 2.

    complete freedom in the mechanical and geometric characteristics of the sample,

  3. 3.

    boundary cracks,

  4. 4.

    unilateral contact if needed.

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© 1999 Springer Science+Business Media Dordrecht

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Francfort, G.A., Marigo, JJ. (1999). Cracks in Fracture Mechanics : A Time Indexed Family of Energy Minimizers. In: Argoul, P., Frémond, M., Nguyen, Q.S. (eds) IUTAM Symposium on Variations of Domain and Free-Boundary Problems in Solid Mechanics. Solid Mechanics and Its Applications, vol 66. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4738-5_23

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  • DOI: https://doi.org/10.1007/978-94-011-4738-5_23

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5992-3

  • Online ISBN: 978-94-011-4738-5

  • eBook Packages: Springer Book Archive

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