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]  inJournal 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 [...]

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Elastodynamic potential method for transversely isotropic solid / Mohammad Rahimian in Journal of engineering mechanics, Vol. 133 N°10 (Octobre 2007)  

Public ISBD [article]  inJournal of engineering mechanics > Vol. 133 N°10 (Octobre 2007) . - pp. 1134-1145 Titre : Elastodynamic potential method for transversely isotropic solid Type de document : texte imprimé Auteurs : Mohammad Rahimian, Auteur ; Eskandari-Ghadi, Morteza, Auteur Année de publication : 2007 Article en page(s) : pp. 1134-1145 Note générale : Mécanique appliquée Langues : Anglais (eng) Mots-clés : Wave propagation Half space Elasticity Isotropy Displacement Boundary element method Résumé : A theoretical formulation is presented for the determination of the displacements, strains, and stresses in a three-dimensional transversely isotropic linearly elastic medium. By means of a complete representation using two displacement potentials, it is shown that the governing equations of motion for this class of problems can be uncoupled into a fourth-order and a second-order partial differential equation in terms of the spatial and time coordinate under general conditions. Compatible with Fourier expansions and Hankel transforms in a cylindrical coordinate system, the formulation includes a complete set of transformed displacement-potential, strain-potential, and stress-potential relations that can be useful in a variety of elastodynamic as well as elastostatic problems. As an illustration of the application of the method, the solution for a half-space under the action of arbitrarily distributed, time-harmonic surface traction is derived, including its specialization to uniform patch loads and point forces. To confirm the accuracy of the numerical evaluation of the integrals involved, numerical results are also included for cases of different degree of the material anisotropy, frequency of excitation, and compared with existing solutions. ISSN : 0733-9399 En ligne : http://cedb.asce.org/cgi/WWWdisplay.cgi?160820 [article] Elastodynamic potential method for transversely isotropic solid [texte imprimé] / Mohammad Rahimian, Auteur ; Eskandari-Ghadi, Morteza, Auteur . - 2007 . - pp. 1134-1145. Mécanique appliquée Langues : Anglais (eng) in Journal of engineering mechanics > Vol. 133 N°10 (Octobre 2007) . - pp. 1134-1145 Mots-clés : Wave propagation Half space Elasticity Isotropy Displacement Boundary element method Résumé : A theoretical formulation is presented for the determination of the displacements, strains, and stresses in a three-dimensional transversely isotropic linearly elastic medium. By means of a complete representation using two displacement potentials, it is shown that the governing equations of motion for this class of problems can be uncoupled into a fourth-order and a second-order partial differential equation in terms of the spatial and time coordinate under general conditions. Compatible with Fourier expansions and Hankel transforms in a cylindrical coordinate system, the formulation includes a complete set of transformed displacement-potential, strain-potential, and stress-potential relations that can be useful in a variety of elastodynamic as well as elastostatic problems. As an illustration of the application of the method, the solution for a half-space under the action of arbitrarily distributed, time-harmonic surface traction is derived, including its specialization to uniform patch loads and point forces. To confirm the accuracy of the numerical evaluation of the integrals involved, numerical results are also included for cases of different degree of the material anisotropy, frequency of excitation, and compared with existing solutions. ISSN : 0733-9399 En ligne : http://cedb.asce.org/cgi/WWWdisplay.cgi?160820

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