Finite-Element Modelling of Unbounded Media - Hardcover

Wolf, John P.; Song, Chongmin

Hardcover

ISBN 10: 0471961345 ISBN 13: 9780471961345

Publisher: Wiley, 1996

Synopsis

Dynamic unbounded medium-structure interactions occur in manyfields of engineering and physical science, such as wavepropagation in soil-structure and fluid-structure interactions,acoustics and electromagnetism and as diffusion in heat conductionand consolidation. This book presents three novel concepts, basedon the finite-element methodology, to model the unboundedmedium:
* The consistent infinitesimal finite-element cell method, aboundary finite-element procedure, requires the discretization ofthe structure-medium interface only and is exact in thefinite-element sense. It is applied to unbounded media governed bythe hyperbolic, parabolic and elliptic differentialequations.
* The damping-solvent extraction method permits the analysis of abounded medium only.
* The doubly-asymptotic multi-directional transmitting boundary isexact for the low- and high-frequency limits at preselected wavepropagation directions.
All concepts are explained using simple examples that the readercan follow step by step. A computer program of the consistentinfinitesimal finite-element cell method available on disk analysestwo- and three-dimensional unbounded and bounded media for thescalar and vector wave equations and the diffusion equation in thefrequency and time domains.

About this title

About the Author

John P. Wolf is the author of Finite-Element Modelling of Unbounded Media, published by Wiley. Chongmin Song is the author of Finite-Element Modelling of Unbounded Media, published by Wiley.

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:

1. 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.
2. The damping-solvent extraction method permits the analysis of a bounded medium only.
3. 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.

1. 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.
2. The damping-solvent extraction method permits the analysis of a bounded medium only.
3. 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.

Edition details

• Publisher: Wiley
• Publication date: 1996
• Language: English
• ISBN 10: 0471961345
• ISBN 13: 9780471961345
• Binding: Hardcover
• Edition number: 1
• Number of pages: 352