© 2009

Solid-Fluid Mixtures of Frictional Materials in Geophysical and Geotechnical Context

Based on a Concise Thermodynamic Analysis

  • Lukas Schneider
  • Kolumban Hutter

Table of contents

  1. Front Matter
    Pages i-xxiii
  2. Lukas Schneider, Kolumban Hutter
    Pages 1-14
  3. Lukas Schneider, Kolumban Hutter
    Pages 15-27
  4. Lukas Schneider, Kolumban Hutter
    Pages 29-53
  5. Lukas Schneider, Kolumban Hutter
    Pages 55-73
  6. Lukas Schneider, Kolumban Hutter
    Pages 75-89
  7. Lukas Schneider, Kolumban Hutter
    Pages 153-187
  8. Lukas Schneider, Kolumban Hutter
    Pages 189-195
  9. Back Matter
    Pages 1-50

About this book


Mixture concepts are nowadays used in a great number of subjects of the - ological, chemical, engineering, natural and physical sciences (to name these alphabetically) and the theory of mixtures has attained in all these dis- plines a high level of expertise and specialisation. The digression in their development has on occasion led to di?erences in the denotation of special formulations as ‘multi-phase systems’ or ‘non-classical mixtures’, ‘structured mixtures’, etc. , and their representatives or defenders often emphasise the di?erences of these rather than their common properties. Thismonographisanattempttoviewtheoreticalformulationsofprocesses which take place as interactions among various substances that are spatially intermixedandcanbeviewedtocontinuously?llthespacewhichtheyoccupy as mixtures. Moreover, we shall assume that the processes can be regarded to becharacterisedbyvariableswhichobeyacertaindegreeofcontinuityintheir evolution, so that the relevant processes can be described mathematically by balance laws, in global or local form, eventually leading to di?erential and/or integralequations,towhichtheusualtechniquesoftheoreticalandnumerical analysis can be applied. Mixtures are generally called non-classical, if, apart from the physical laws (e. g. balances of mass, momenta, energy and entropy), also further laws are postulated,whicharelessfundamental,butmaydescribesomefeaturesofthe micro-structure on the macroscopic level. In a mixture of ?uids and solids – thesearesometimescalledparticleladensystems–thefractionofthevolume that is occupied by each constituent is a signi?cant characterisation of the micro-structure that exerts some in?uence on the macro-level at which the equations governing the processes are formulated. For solid-?uid mixtures at high solids fraction where particle contact is essential, friction between the particles gives rise to internal stresses, which turn out to be best described by an internal symmetric tensor valued variable.


Debris Flow Hypoplasticity Second Law of Thermodynamics Solid-fluid Mixture density dynamics entropy geotechnical engineering heat phase plasticity quality structure

Editors and affiliations

  • Lukas Schneider
    • 1
  • Kolumban Hutter
    • 2
  1. 1.FG Energie- und KraftwerkstechnikTU DarmstadtDarmstadtGermany
  2. 2.ZürichSwitzerland

Bibliographic information

  • Book Title Solid-Fluid Mixtures of Frictional Materials in Geophysical and Geotechnical Context
  • Book Subtitle Based on a Concise Thermodynamic Analysis
  • Authors Lukas Schneider
    Kolumban Hutter
  • Series Title Advances in Geophysical and Environmental Mechanics and Mathematics
  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2009
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Earth and Environmental Science Earth and Environmental Science (R0)
  • Hardcover ISBN 978-3-642-02967-7
  • Softcover ISBN 978-3-642-26934-9
  • eBook ISBN 978-3-642-02968-4
  • Series ISSN 1866-8348
  • Series E-ISSN 1866-8356
  • Edition Number 1
  • Number of Pages XXIV, 247
  • Number of Illustrations 63 b/w illustrations, 0 illustrations in colour
  • Topics Geophysics/Geodesy
    Classical and Continuum Physics
    Earth Sciences, general
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