Wave Propagation in Solid and Porous Half-Space Media by Hamid R. Hamidzadeh, Liming Dai, Reza N. Jazar (auth.) PDF
By Hamid R. Hamidzadeh, Liming Dai, Reza N. Jazar (auth.)
ISBN-10: 1461492688
ISBN-13: 9781461492689
ISBN-10: 1461492696
ISBN-13: 9781461492696
This ebook covers complicated themes in dynamic modeling of soil-foundation interplay, in addition to the reaction of elastic semi-infinite media from an purposes standpoint. complex recommendations similar to recommendations for research of elastic semi-infinite mediums, fluid movement in porous media, and nonlinearities in dynamic habit are defined in nice aspect. comparable theories and numerical research for vertical vibration, and rocking vibration of a inflexible oblong mass-less plate, and horizontal vibration of a inflexible mass-less plate are provided. in the course of the booklet, a powerful emphasis is put on purposes, and a laboratory version for elastic half-space medium is provided.
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Get Wave Propagation in Solid and Porous Half-Space Media PDF
This booklet covers complicated issues in dynamic modeling of soil-foundation interplay, in addition to the reaction of elastic semi-infinite media from an purposes point of view. complex strategies reminiscent of suggestions for research of elastic semi-infinite mediums, fluid movement in porous media, and nonlinearities in dynamic habit are defined in nice element.
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Extra resources for Wave Propagation in Solid and Porous Half-Space Media
Example text
Bycroft (1977) later carried out some tests to verify his previous theoretical work. Thomson and Kobori (1963) and Kobori et al. (1966a, b, 1968, 1970, 1971) considered the dynamic response of a rectangular base. 2 Dynamic Response of Foundations 5 contact area of the base and medium. Their analysis was for an elastic half-space, viscoelastic half-space, and layered viscoelastic media. Verruijt (2010) addressed the problems of the line and strip loads on the surface of an elastic half-space and presented analytical solutions to these problems.
C G/ @x . C G/ @" CG @y . 7 Stresses in Terms of Dilatation and Rotation Components In order to get the stresses in terms of the dilatation and rotation components, Eq. 11) can be written as follows: yy D " C 2G"yy D . 55) and, in terms of displacement components, it is yy D . 56) Having substituted derivatives of Eqs. 54) in the above relation, it yields: Â yy D C 2G @2 " 2 @y 2 1 @2 " 2 C 2 2 @x 2 1 2 @2 " 2 C 2 2 @z2 1 2 Ã C Â Â 2 . 60) Shear stresses in the dilatation strain and the elastic rotation components can be obtained as presented in the following.
In their analysis they assumed a nonlinear elastic– plastic model for the soil. Liang et al. (2013) used the indirect-boundary-element method and non-singular Green’s functions of distributed loads to consider the in-plane, dynamic soil–structure interaction for incident-plane P and SV waves for a shear wall on a rigid foundation that was embedded in a soil layer over bedrock. Yang and Hung (2009) presented an extensive study of wave propagation in an elastic half-space medium induced by a moving train.
Wave Propagation in Solid and Porous Half-Space Media by Hamid R. Hamidzadeh, Liming Dai, Reza N. Jazar (auth.)
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