Finite-element modelling of unbounded media


Finite-element modelling of unbounded media

John P. Wolf and Chongmin Song

Wiley, c1996

大学図書館所蔵 件 / 29



Bibliography: p. [319]-324

Includes index



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.


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

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  • ISBN
    • 0471961345
  • 出版国コード
  • タイトル言語コード
  • 本文言語コード
  • 出版地
  • ページ数/冊数
    xvii, 331 p.
  • 大きさ
    25 cm
  • 分類