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Finite-Element Model of Unbounded Media
Hardcover
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ISBN10: 0471961345
ISBN13: 9780471961345
Publisher: John Wiley & Sons
Published: Aug 8 1996
Pages: 352
Weight: 1.74
Height: 1.00 Width: 6.80 Depth: 10.12
Language: English
ISBN13: 9780471961345
Publisher: John Wiley & Sons
Published: Aug 8 1996
Pages: 352
Weight: 1.74
Height: 1.00 Width: 6.80 Depth: 10.12
Language: English
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.
* 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.
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