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Advances in Dynamic Systems and Stability pp 35–53Cite as

Dynamic analysis of column and borehole problems in soils and rocks

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Part of the book series: Acta Mechanica ((ACTA MECH.SUPP.,volume 3))

Summary

The one-dimensional dynamic column and borehole problems of soil and rock mechanics are solved analytically-numerically. The poroelastic soil medium obeys the Vardoulakis-Beskos theory, while the poroelastic, fissured rock medium the Aifantis-Beskos theory. The quasi-static counterparts of these problems are analysed as special cases of the dynamic ones. Use of Laplace transform with respect to time reduces the column and borehole problems to ordinary differential equations with constant and variable coefficients, respectively. The transformed solution of these problems is obtained analytically for the column and by finite differences for the borehole problem and after a numerical Laplace transform inversion, produces the time domain response. Viscoelastic material behavior of the solid skeleton is easily treated in the transformed domain with the aid of the correspondence principle. Both a suddenly applied and a harmonically varying with time load are considered. Numerical results are presented in order to assess the significance of various dynamic and material parameters on the response.

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Author information

Authors and Affiliations

  1. Department of Civil Engineering, University of Patras, GR-26110, Patras, Greece

    Prof. D. E. Beskos

  2. Patras, Greece

    I. Vgenopoulou

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  1. Prof. D. E. Beskos
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  2. I. Vgenopoulou
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Editor information

Editors and Affiliations

  1. Department of Civil Engineering, School of Engineering, University of Patras, Patras, Greece

    D. E. Beskos

  2. Institut für Allgemeine Mechanik, Technische Universität Wien, Wien, Austria

    F. Ziegler

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© 1992 Springer-Verlag Wien

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Beskos, D.E., Vgenopoulou, I. (1992). Dynamic analysis of column and borehole problems in soils and rocks. In: Beskos, D.E., Ziegler, F. (eds) Advances in Dynamic Systems and Stability. Acta Mechanica, vol 3. Springer, Vienna. https://doi.org/10.1007/978-3-7091-9223-8_4

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  • DOI: https://doi.org/10.1007/978-3-7091-9223-8_4

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-82368-2

  • Online ISBN: 978-3-7091-9223-8

  • eBook Packages: Springer Book Archive

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