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Very Slow Flows of Solids

Basics of Modeling in Geodynamics and Glaciology

  • Book
  • © 1987

Overview

Authors:
  1. Louis A. Lliboutry

    1. University of Grenoble I, Grenoble, France

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Part of the book series: Mechanics of Fluids and Transport Processes (MFTP, volume 7)

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Table of contents (16 chapters)

  1. Front Matter

    Pages I-XIX
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  2. Numerical simulation of very slow flows: an overview

    • Louis A. Lliboutry
    Pages 1-18

  3. Diffusion and advection of heat with a single space variable

    • Louis A. Lliboutry
    Pages 19-36

  4. Rotation and strain. Invariants of stress and of strain rates

    • Louis A. Lliboutry
    Pages 37-62

  5. Microscopic processes of creep

    • Louis A. Lliboutry
    Pages 63-91

  6. Viscosity as a model for rocks creeping at high temperature

    • Louis A. Lliboutry
    Pages 93-129

  7. Stokes’ problems solved with Fourier transforms: isostatic rebound, glacier sliding

    • Louis A. Lliboutry
    Pages 131-165

  8. Open flow in a cylindrical channel of a power-law viscous fluid, and application to temperate valley glaciers

    • Louis A. Lliboutry
    Pages 167-195

  9. Coupled velocity and temperature fields: the ice-sheet problem

    • Louis A. Lliboutry
    Pages 197-227

  10. Thermal convection in an isoviscous layer and in the Earth’s mantle

    • Louis A. Lliboutry
    Pages 229-259

  11. Computation of very slow flows by the finite-difference method

    • Louis A. Lliboutry
    Pages 261-285

  12. Elastostatics

    • Louis A. Lliboutry
    Pages 287-312

  13. Plates and layered media

    • Louis A. Lliboutry
    Pages 313-346

  14. Variational theorems and the finite element method

    • Louis A. Lliboutry
    Pages 347-378

  15. The rigid-plastic model

    • Louis A. Lliboutry
    Pages 379-410

  16. Viscoelasticity and transient creep

    • Louis A. Lliboutry
    Pages 411-444

  17. Homogenization, and the transversely isotropic power-law viscous body

    • Louis A. Lliboutry
    Pages 445-464

  18. Back Matter

    Pages 465-510
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Keywords

About this book

This book is written primarily for Earth scientists faced with problems in thermo­ mechanics such as the flow and evolution of ice-sheets, convection currents in the mantle, isostatic rebound, folding of strata or collapse of cavities in salt domes. Failure, faults, seismic waves and all processes involving inertial terms will not be dealt with. In general such scientists (graduate students beginning a Ph. D. for instance) have too small a background'in continuum mechanics and in numerical computation to model conveniently these problems, which are not elementary at all. Most of them are not linear, and therefore seldom dealt with in treatises. If the study of reality were clearly cut into two successive steps: first to make a physical model, setting up a well-posed problem in thermo-mechanics, and second to solve it, the obvious solution would be to find a specialist in computational mechanics who could spend enough time on a problem which, although maybe crucial for on-going fundamental research, has little practical interest in general, and cannot be considered properly as a noteworthy progress in Mechanics. But this is not the way Science develops. There is a continuous dialectic between the building up of a model and its mathematical treatment. The model should be simple enough to be tractable, but not oversimplified. Its sensitivity to the different components it is made of should be investigated, and more thought is needed when the results contradict hard facts.

Reviews

` ... useful addition to the library of the researcher working on either glaciology or mantle convection. '
Pageoph, Vol.127,No.4.1988

Authors and Affiliations

  • University of Grenoble I, Grenoble, France

    Louis A. Lliboutry

Bibliographic Information

  • Book Title: Very Slow Flows of Solids

  • Book Subtitle: Basics of Modeling in Geodynamics and Glaciology

  • Authors: Louis A. Lliboutry

  • Series Title: Mechanics of Fluids and Transport Processes

  • DOI: https://doi.org/10.1007/978-94-009-3563-1

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Martinus Nijhoff Publishers, Dordrecht 1987

  • Hardcover ISBN: 978-90-247-3482-5Published: 30 June 1987

  • Softcover ISBN: 978-94-010-8094-1Published: 17 October 2011

  • eBook ISBN: 978-94-009-3563-1Published: 06 December 2012

  • Series ISSN: 0921-3805

  • Edition Number: 1

  • Number of Pages: XX, 510

  • Topics: Hydrogeology, Classical Mechanics, Geophysics/Geodesy

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