title: Dynamical weight functions for a planar crack
abstract: The stress intensity factors are evaluated for a moving planar crack for loadings which vary arbitrarily in time and three dimensions of space. We exploit the adjoint elasticity equation obeyed by the corresponding weight functions, and a new and more universal Wiener-Hopf factorization of the Rayleigh function, this being the central difficulty in such calculations. For the mode II weight function we give further asymptotic results crucial to a subsequent calculation of crack stability with respect to out-of-plane perturbations.
authors.affiliation: University of Warwick, Coventry CV4 7AL, United Kingdom.
authors.initials: AA
authors.lastname: Al-Falou
authors.initials: RC
authors.lastname: Ball
authors.initials: H
authors.lastname: Larralde