1977
DOI: 10.1016/b978-0-12-477913-6.50011-5
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The Generalized Ray Theory and Transient Responses of Layered Elastic Solids

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Cited by 89 publications
(64 citation statements)
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“…Others studied multilayered structures, but either missed de Hoop's modification (Pao and Gajewski 1977), or only solved the scalar acoustic case (Aki and Richards 1980), or introduced ap proximations to the method (Wiggins and Helmberger 1974). Of course, there are also many positive aspects to the previously mentioned papers; in fact, we have used them as much as possible; we mention great educational clarity (Aki and Richards 1980), elegant notation (Pao and Gajewski 1977) and a very clear and detailed statement of the results (Johnson 1974, Wig gins andHelmberger 1974). In particular, we shall present the solution to the problem in its simplest form and state its concise solution for the all of these encompassing case of an arbitrarily layered isotropic solid.…”
Section: The Methods Of Solution Employedmentioning
confidence: 99%
“…Others studied multilayered structures, but either missed de Hoop's modification (Pao and Gajewski 1977), or only solved the scalar acoustic case (Aki and Richards 1980), or introduced ap proximations to the method (Wiggins and Helmberger 1974). Of course, there are also many positive aspects to the previously mentioned papers; in fact, we have used them as much as possible; we mention great educational clarity (Aki and Richards 1980), elegant notation (Pao and Gajewski 1977) and a very clear and detailed statement of the results (Johnson 1974, Wig gins andHelmberger 1974). In particular, we shall present the solution to the problem in its simplest form and state its concise solution for the all of these encompassing case of an arbitrarily layered isotropic solid.…”
Section: The Methods Of Solution Employedmentioning
confidence: 99%
“…Different numerical schemes have been discussed by Wiggins & Helmberger (1974) and Vered & Ben Menahem (1974) and a general survey has been made by Pao & Gajewski (1977).…”
Section: The Cagniard Pathmentioning
confidence: 99%
“…Glass capillary break is known to generate step force of relatively high power and short rise time. As theoretical approach, a Green's function for an ideal elastic medium with simple geometry was studied through the utilization of the generalized ray method [9] and numerically calculated through a Fourier inversion method [lO].…”
Section: Introductionmentioning
confidence: 99%