A comparison of variational formats for porous media subjected to dynamic loading

Authors

  • B. Lenhof,

    Corresponding author
    1. Material and Computational Mechanics, Applied Mechanics, Chalmers University of Technology, Hörsalsvägen 7B, SE-41296 Göteborg, Sweden
    • Material and Computational Mechanics, Applied Mechanics, Chalmers University of Technology, Hörsalsvägen 7B, SE-41296 Göteborg, Sweden
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  • F. Larsson,

    1. Material and Computational Mechanics, Applied Mechanics, Chalmers University of Technology, Hörsalsvägen 7B, SE-41296 Göteborg, Sweden
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  • K. Runesson

    1. Material and Computational Mechanics, Applied Mechanics, Chalmers University of Technology, Hörsalsvägen 7B, SE-41296 Göteborg, Sweden
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Abstract

This paper presents a comparison of two variational formats for fully saturated porous media subjected to dynamic loading, whereby the general situation of relative fluid acceleration is considered: (1) the classical three-field (u, p, w)-format and (2) a novel two-field (u, p)-format, where the seepage velocity w is a spatially ‘local’ field whose treatment resembles that of internal variables in material models. The limited numerical comparison shows that the (u, p)-format competes well with the (u, p, w)-format. Indeed, it is consistent with the general acceleration modeling in the full range of permeabilities. Moreover, in the low permeability regime (where the magnitude of w is insignificant), the new format reflects the situation pertinent to ‘added-mass’ and is more efficient than the classical (u, p, w)-format. Finally, the (u, p)-formatcan conveniently be implemented in existing FE-codes based on the ‘added mass’ formulation. Copyright © 2010 John Wiley & Sons, Ltd.

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