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Finite-Element Modelling of Unbounded Media, by John P. Wolf, Chongmin Song
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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:
* 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.
* The damping-solvent extraction method permits the analysis of a bounded medium only.
* The doubly-asymptotic multi-directional transmitting boundary is exact for the low- and high-frequency limits at preselected wave propagation directions.
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.
- Sales Rank: #10378848 in Books
- Published on: 1996-08-08
- Original language: English
- Number of items: 1
- Dimensions: 9.88" h x 1.02" w x 7.05" l, 1.74 pounds
- Binding: Hardcover
- 350 pages
From the Publisher
Soil-structure interaction refers to the settlement of a structure caused by the consolidation of soil. This book examines three methods for analyzing dynamic unbounded medium-structure-interaction analysis--the consistent infinitesimal finite-element cell method; the damping-solvent extraction method; and the doubly-asymptotic multi-directional transmitting boundary.
From the Back Cover
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:
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