Second-order coplanar perturbation of a semi-infinite crack in an infinite body - Sorbonne Université Access content directly
Journal Articles Engineering Fracture Mechanics Year : 2012

Second-order coplanar perturbation of a semi-infinite crack in an infinite body

Abstract

There has been considerable interest in recent years in theoretical formulae providing, for various crack configurations, the local variation of the stress intensity factors resulting from some small but otherwise arbitrary coplanar perturbation of the crack front. In this work, we establish the expression of the variation of the mode I stress intensity factor up to second order in the perturbation, in the specific case of a semi-infinite tensile crack embedded in some infinite body. The treatment is basically simple and uses earlier results of Rice (1989). Formulae are given in both the physical space and Fourier's space. They differ from earlier ones established by Adda-Bedia et al. (2006) for the same problem, using a more complex method of solution. Finite element computations performed for sinusoidal perturbations support the new formulae, rather than the older ones. As an application, it is finally shown that the mean value of the energy-release-rate along the front of a perturbed semi-infinite tensile crack is exactly the same, up to second order in the perturbation, as if the front were straight.
Fichier principal
Vignette du fichier
PerturbOrdre2.pdf (252.95 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01436264 , version 1 (16-01-2017)

Identifiers

Cite

Jean-Baptiste Leblond, Sylvain Patinet, Joël Frelat, Veronique Lazarus. Second-order coplanar perturbation of a semi-infinite crack in an infinite body. Engineering Fracture Mechanics, 2012, 90, pp.129 - 142. ⟨10.1016/j.engfracmech.2012.03.002⟩. ⟨hal-01436264⟩
325 View
186 Download

Altmetric

Share

Gmail Facebook X LinkedIn More