Abstract
The transient response of the surface of a layered isotropic or anisotropic half-space, with two interface cracks, excited by a plane SH-wave is investigated. The incident field is taken as a bulk wave. The governing equations along with boundary, regularity and continuity conditions across the interface are reduced to a coupled set of singular integral equations. Solutions of these equations are obtained by expanding unknown crack opening displacement (COD) in terms of a complete set of Chebyshev polynomials. As sample problems, the surface response of isotropic as well as anisotropic layered half-spaces with and without crack interactions is computed
Résumé
On étudie la réponse transitoire de la surface d'un demi-espace à couches successives isotropes ou anisotrope dans le cas de deux fissures d'interfaces abordées par une onde SH plane. Le champ incident est assimilé à une onde de base. On ramène les équations directrices ainsi que les conditions aux limites, et les conditions de régularité et de continuité, à un jeu d'équations intégrales singulières couplées. Les solutions de ces équations sont obtenues en procédant à une extension d'un COD inconnu sous forme d'un ensemble de polynomes de Chebyshev. A titre d'exemple type, on calcule la réponse de surface de demi-espaces en couches, de caractère isotrope et de caractère non isotrope, avec ou sans interactions de fissures
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Karim, M.R., Kundu, T. Transient surface response of layered isotropic and anisotropic half-spaces with interface cracks: SH case. Int J Fract 37, 245–262 (1988). https://doi.org/10.1007/BF00032532
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DOI: https://doi.org/10.1007/BF00032532