title: Second-order variation in elastic fields of a tensile planar crack with a curved front.
abstract: We derive the second-order variation in the local static stress intensity factor of a tensile crack with a curved front. We then discuss the relevance of this result to the stability analysis of such fronts, and propose an equation of motion of planar crack fronts in heterogeneous media that contains two main ingredients--irreversibility of the propagation of the crack front and nonlinear effects.
authors.affiliation: Laboratoire de Physique Statistique de l'Ecole Normale Supérieure, 24 rue Lhomond, F-75231 Paris Cedex 05, France.
authors.forename: M
authors.initials: M
authors.lastname: Adda-Bedia
authors.forename: E
authors.initials: E
authors.lastname: Katzav
authors.forename: D
authors.initials: D
authors.lastname: Vandembroucq