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Article Dans Une Revue International Journal of Fracture Année : 2010

Generalization of T and A integrals to time-dependent materials: analytical formulations

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Résumé

This paper deals with the generalization of T-integral to crack growth process in viscoelastic materials. In order to implement this expression in a finite element software, a modelling form of this integral, called Aθ, is developed. The analytical formulation is based on conservative law, independent path integral, and a combination of real, virtual displacement fields, and real, virtual thermal fields introducing, in the same time, a bilinear form of free energy density F. According to the generalization of Noether's method, the application of Gauss Ostrogradski's theorem combined with curvilinear cracked contour, T v is obtained. By introducing a volume domain around crack tip, the modelling expression Aθ is also defined.. Finally, the viscoelastic generalization through a thermodynamic approach, called A v , is introduced by using a discretisation of the creep tensor according to a generalized Kelvin Voigt representation.

Dates et versions

hal-00635161 , version 1 (24-10-2011)

Identifiants

Citer

Rostand Moutou Pitti, Frédéric Dubois, Christophe Petit. Generalization of T and A integrals to time-dependent materials: analytical formulations. International Journal of Fracture, 2010, 161 (2), pp.187-198. ⟨10.1007/s10704-010-9453-1⟩. ⟨hal-00635161⟩
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