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Article Dans Une Revue European Journal of Mechanics - A/Solids Année : 1990

Energy methods in fracture mechanics: stability, bifurcation and second variations

Claude Stolz
Gilles Debruyne
  • Fonction : Auteur
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Résumé

The quasistatic evolution of a system of interacting linear cracks is considered in brittle fracture. Stability and bifurcation criteria are presented in terms of the second variation of the potential energy and with a formulation of the rate boundary value problem following Hill's method. A symmetric description is proposed for this problem involving as principal unknowns the crack propagation velocity and the displacement velocity defined on the current configuration. As a consequence, an explicit expression for the matrix of the second derivatives of energy with respect to the crack length is given in terms of new path-independent integrals. The numerical computation of these path independent integrals by the f.e.m is also considered and illustrated by some simple examples.
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Dates et versions

hal-00091956 , version 1 (25-03-2024)

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  • HAL Id : hal-00091956 , version 1

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Quoc Son Nguyen, Claude Stolz, Gilles Debruyne. Energy methods in fracture mechanics: stability, bifurcation and second variations. European Journal of Mechanics - A/Solids, 1990, 9, pp.157-173. ⟨hal-00091956⟩
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