Application of the boundary integral equation method to a discontinuity in bedrock.
Item
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Title
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Application of the boundary integral equation method to a discontinuity in bedrock.
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Identifier
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AAI9605602
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identifier
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9605602
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Creator
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Heymsfield, Ernest.
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Contributor
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Adviser: Carl J. Costantino
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Date
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1995
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Language
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English
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Publisher
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City University of New York.
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Subject
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Engineering, Civil | Geophysics
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Abstract
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The objective of this thesis is to investigate the significance that an inhomogeneity in a rock half-space has on surface amplification. The particular soil-bedrock configuration considered consists of a homogeneous soil layer on a half-space. Included in the half-space is an embedded semi-infinite rock intrusion with its upper surface abutting the soil layer. Materials are considered viscoelastic except for the portion of the half-space below the embedded rock layer. The importance of the rock inclusion is determined by investigating the variation of the amplification of body waves along the ground surface for a range of frequencies and incidence angles. The results of a parametric study are presented indicating the sensitivity of the amplification function to the rock inclusion's thickness and shear wave velocity. Comparisons are made between the results of the parametric study and the standard one-dimensional analysis considering the two soil-rock profiles taken at a far horizontal distance away from the scattering boundary. These comparisons between the one-dimensional and two-dimensional solutions are summarized in scattering limit plots. These plots indicate the horizontal distance from the bedrock discontinuity in which the two-dimensional and one-dimensional surface amplifications are similar. Therefore, limits can be determined for this particular soil-rock configuration within which a one-dimensional solution is deemed inappropriate and therefore requires a two-dimensional solution.;The boundary element method is used for the two-dimensional solution. Included in the investigation was the development of two boundary element codes, one for surface amplification of anti-plane motion and a second for the surface amplification of in-plane motion. Of special interest in the development of the codes is the correction due to the truncation of the infinite regions involved in soil profiles.
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Type
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dissertation
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Source
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PQT Legacy CUNY.xlsx
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degree
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Ph.D.
