Finite-Element Modelling of Unbounded Media

Dynamic Soil Structure Interactions

By: John P. Wolf, Chongmin Song

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Hardcover | 8 August 1996 | Edition Number 1

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Hardcover
352 Pages

Dimensions(cm)
25.75 x 17.45 x 2.46

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Dynamic unbounded medium-structure interactions occur in many fields of engineering and physical science, such as wave propagation in soil-structure and fluid-structure interactions, acoustics and electromagnetism and as diffusion in heat conduction and consolidation. This book presents three novel concepts, based on the finite-element methodology, to model the unbounded medium:<br> * The consistent infinitesimal finite-element cell method, a boundary finite-element procedure, requires the discretization of the structure-medium interface only and is exact in the finite-element sense. It is applied to unbounded media governed by the hyperbolic, parabolic and elliptic differential equations.<br> * The damping-solvent extraction method permits the analysis of a bounded medium only.<br> * The doubly-asymptotic multi-directional transmitting boundary is exact for the low- and high-frequency limits at preselected wave propagation directions.<br> All concepts are explained using simple examples that the reader can follow step by step. A computer program of the consistent infinitesimal finite-element cell method available on disk analyses two- and three-dimensional unbounded and bounded media for the scalar and vector wave equations and the diffusion equation in the frequency and time domains.

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