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A Variational Formulation of The Boundary Element Method in Transient Poroelasticity

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Computational Mechanics ’95

Abstract

Poroelasticity is concerned with heterogeneous media consisting of an elastic solid skeleton saturated by a diffusing pore fluid. Its range of application covers a variety of important real-life problems, such as design of nuclear reactor cores, exploitation of oil or gas deposits, simulation of living bone behaviour for orthopedical surgery, control of filtration leakage from reservoirs, and manufacturing process design for composite materials. Poroelasticity is now the subject of a fairly abundant literature, stemming from Terzaghi’s concept of effective stress and Biot’s linear consolidation theory. From a computational mechanics point of view, poroelastic analysis has been conducted using either the finite element method or the traditional (collocation) boundary element method [1–3].

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Author information

Authors and Affiliations

  1. University of Colorado, Boulder, USA

    E. Pan & B. Amadei

  2. Technical University (Politecnico), Milan, Italy

    G. Maier

Authors
  1. E. Pan
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  2. G. Maier
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  3. B. Amadei
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Editor information

Editors and Affiliations

  1. Computational Modeling Center, Georgia Institute of Technology, Atlanta, GA, 30332-0356, USA

    S. N. Atluri

  2. Department of Quantum Engineering & Systems Science, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113, Japan

    G. Yagawa

  3. Department of Mechanical Engineering, Vanderbilt University, P.O. Box 1592, Station B, Nashville, TN, 37235, USA

    Thomas Cruse

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© 1995 Springer-Verlag Berlin Heidelberg

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Pan, E., Maier, G., Amadei, B. (1995). A Variational Formulation of The Boundary Element Method in Transient Poroelasticity. In: Atluri, S.N., Yagawa, G., Cruse, T. (eds) Computational Mechanics ’95. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79654-8_513

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  • DOI: https://doi.org/10.1007/978-3-642-79654-8_513

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-79656-2

  • Online ISBN: 978-3-642-79654-8

  • eBook Packages: Springer Book Archive

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