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Stability of Moving Fronts Under Griffith Criterion: A Computational Approach Using Integral Equations and Domain Derivatives

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IUTAM Symposium on Variations of Domain and Free-Boundary Problems in Solid Mechanics

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

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Abstract

PRESENTATION. Consider a linearly elastic body Ω ∈ R 3. Its external boundary is divided into two complementary parts S u (supporting prescribed displacements: u = ū) and S t (supporting prescribed tractions: σ. n = t). Besides, a crack (described by an open surface S across which the displacement is discontinuous: ϕ = u + — u - denotes the crack opening displacement (COD)) is embedded in Ω.

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Author information

Authors and Affiliations

  1. Laboratoire de Mécanique des Solides, Ecole Polytechnique, 91128, Palaiseau cedex, France

    Marc Bonnet

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  1. Marc Bonnet
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Editor information

Editors and Affiliations

  1. Laboratory of Materials and Structures of Civil Engineering, Public Works Research Laboratory and CNRS, Champs-sur-Marne, France

    P. Argoul  & M. Frémond  & 

  2. Laboratory of Solid Mechanics, École Polytechnique, Palaiseau, France

    Q. S. Nguyen

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© 1999 Springer Science+Business Media Dordrecht

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Bonnet, M. (1999). Stability of Moving Fronts Under Griffith Criterion: A Computational Approach Using Integral Equations and Domain Derivatives. 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_32

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  • DOI: https://doi.org/10.1007/978-94-011-4738-5_32

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5992-3

  • Online ISBN: 978-94-011-4738-5

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