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Asymptotic Analysis of a Spontaneous Crack Growth. Application to a Blunt Crack

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IUTAM Symposium on Non-linear Singularities in Deformation and Flow

Abstract

The Griffith criterion is a universal approach to brittle fracture in elastic bodies. It is based on a critical value G c of the energy release rate G defined as the derivative of the potential energy W with respect to the crack length ℓ (the present analysis is restricted to the bidimensional elasticity):

$$ G = - \frac{{\partial W}}{{\partial \ell }} $$

If G reaches the critical value G c = 2γ, where γ is the fracture energy per unit length (surface in 3D), then the criterion predicts crack growth.

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Leguillon, D. (1999). Asymptotic Analysis of a Spontaneous Crack Growth. Application to a Blunt Crack. In: Durban, D., Pearson, J.R.A. (eds) IUTAM Symposium on Non-linear Singularities in Deformation and Flow. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4736-1_16

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  • DOI: https://doi.org/10.1007/978-94-011-4736-1_16

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5991-6

  • Online ISBN: 978-94-011-4736-1

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