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Dynamics of Hypoplastic Materials: Theory and Numerical Implementation

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Dynamic Response of Granular and Porous Materials under Large and Catastrophic Deformations

Part of the book series: Lecture Notes in Applied and Computational Mechanics ((LNACM,volume 11))

Abstract

The paper presents a theoretical study of the dynamic equations and their solutions for a granular material whose mechanical behaviour is described by a constitutive equation of the hypoplasticity theory. Discussed in the paper are well-posedness of the dynamic problem, cyclic shearing of a granular material, the coupling between the transverse and the longitudinal displacement components in the dynamic solutions, the double-frequency effect as a consequence of this coupling, and liquefaction of a saturated granular solid caused by the dynamic cyclic shearing.

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Author information

Authors and Affiliations

  1. Institute of Soil Mechanics and Rock Mechanics, University of Karlsruhe, Engler-Bunte-Ring 14, 76131, Karlsruhe, Germany

    Vladimir A. Osinov

Authors
  1. Vladimir A. Osinov
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  2. Gerd Gudehus
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Editors and Affiliations

  1. Department of Mechanics, Technical University of Darmstadt, Hochschulstr. 1, D-64289, Darmstadt, Germany

    Kolumban Hutter  & Nina Kirchner  & 

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Osinov, V.A., Gudehus, G. (2003). Dynamics of Hypoplastic Materials: Theory and Numerical Implementation. In: Hutter, K., Kirchner, N. (eds) Dynamic Response of Granular and Porous Materials under Large and Catastrophic Deformations. Lecture Notes in Applied and Computational Mechanics, vol 11. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-36565-5_9

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  • DOI: https://doi.org/10.1007/978-3-540-36565-5_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-05650-5

  • Online ISBN: 978-3-540-36565-5

  • eBook Packages: Springer Book Archive

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