Finite-element modelling of unbounded media

書誌事項

Finite-element modelling of unbounded media

John P. Wolf and Chongmin Song

Wiley, c1996

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注記

Bibliography: p. [319]-324

Includes index

内容説明・目次

内容説明

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.

目次

Partial table of contents: SIMILARITY-BASED FORMULATION FOR UNIT-IMPULSE RESPONSE AND DYNAMICSTIFFNESS. Displacement, Velocity and Acceleration Unit-Impulse Response withDynamic Stiffness and Rational Approximation. Forecasting Method. Consistent Infinitesimal Finite-Element Cell Method Applied toBounded Medium. DAMPING-SOLVENT EXTRACTION FOR DYNAMIC STIFFNESS AND INTERACTIONFORCE. Fundamentals of Damping-Solvent Extraction Method. DOUBLY-ASYMPTOTIC MULTI-DIRECTIONAL TRANSMITTING BOUNDARY. Concept and Numerical Implementation of Doubly-AsymptoticMulti-Directional Transmitting Boundary. Accuracy and Modelling Procedure of Doubly-AsymptoticMulti-Directional Transmitting Boundary. Appendices. References. Index.

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詳細情報

  • NII書誌ID(NCID)
    BA28195770
  • ISBN
    • 0471961345
  • 出版国コード
    uk
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Chichester
  • ページ数/冊数
    xvii, 331 p.
  • 大きさ
    25 cm
  • 分類
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