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Asymmetric dynamic green’s functions in a two-layered transversely isotropic half-space / Ali Khojasteh in Journal of engineering mechanics, Vol. 134 n°9 (Septembre 2008) 

Public ISBD [article]  in Journal of engineering mechanics > Vol. 134 n°9 (Septembre 2008) . - pp.777–787. Titre : Asymmetric dynamic green’s functions in a two-layered transversely isotropic half-space Type de document : texte imprimé Auteurs : Ali Khojasteh, Auteur ; Mohammad Rahimian, Auteur ; Ronald Y. S. Pak, Auteur Année de publication : 2008 Article en page(s) : pp.777–787. Note générale : Mécanique appliquée Langues : Anglais (eng) Mots-clés : Greens  function  Layered  systems  Wave  propagation  Elasticity  Anisotropy  Boundaries  Half  space Résumé : By virtue of a complete representation using two displacement potentials, an analytical derivation of the elastodynamic Green’s functions for a transversely isotropic layer underlain by a transversely isotropic half-space is presented. Three-dimensional point-load and patch-load Green’s functions for stresses and displacements are given in the complex-plane line-integral representations. The formulation includes a complete set of transformed stress-potential and displacement-potential relations in the framework of Fourier expansions and Hankel integral transforms, that is useful in a variety of elastodynamic as well as elastostatic problems. For the numerical computation of the integrals, a robust and effective methodology is laid out. Comparisons with the existing numerical solutions for a two-layered transversely isotropic half-space under static surface load, and a homogeneous transversely isotropic half-space subjected to buried time-harmonic load are made to confirm the accuracy of the present solutions. Selected numerical results for displacement and stress Green’s functions are presented to portray the dependence of the response of the two-layered half-space on the frequency of excitation and the role of the upper layer. ISSN : 0733-9399 En ligne : http://ascelibrary.org/doi/abs/10.1061/%28ASCE%290733-9399%282008%29134%3A9%2877 [...] [article] Asymmetric dynamic green’s functions in a two-layered transversely isotropic half-space [texte imprimé] / Ali Khojasteh, Auteur ; Mohammad Rahimian, Auteur ; Ronald Y. S. Pak, Auteur . - 2008 . - pp.777–787. Mécanique appliquée Langues : Anglais (eng) in Journal of engineering mechanics > Vol. 134 n°9 (Septembre 2008) . - pp.777–787. Mots-clés : Greens  function  Layered  systems  Wave  propagation  Elasticity  Anisotropy  Boundaries  Half  space Résumé : By virtue of a complete representation using two displacement potentials, an analytical derivation of the elastodynamic Green’s functions for a transversely isotropic layer underlain by a transversely isotropic half-space is presented. Three-dimensional point-load and patch-load Green’s functions for stresses and displacements are given in the complex-plane line-integral representations. The formulation includes a complete set of transformed stress-potential and displacement-potential relations in the framework of Fourier expansions and Hankel integral transforms, that is useful in a variety of elastodynamic as well as elastostatic problems. For the numerical computation of the integrals, a robust and effective methodology is laid out. Comparisons with the existing numerical solutions for a two-layered transversely isotropic half-space under static surface load, and a homogeneous transversely isotropic half-space subjected to buried time-harmonic load are made to confirm the accuracy of the present solutions. Selected numerical results for displacement and stress Green’s functions are presented to portray the dependence of the response of the two-layered half-space on the frequency of excitation and the role of the upper layer. ISSN : 0733-9399 En ligne : http://ascelibrary.org/doi/abs/10.1061/%28ASCE%290733-9399%282008%29134%3A9%2877 [...]