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Multifield Problems

State of the Art

  • Book
  • © 2000

Overview

Editors:
  1. Anna-Margarete Sändig

    1. Mathematisches Institut A, Universität Stuttgart, Stuttgart, Germany

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  2. Werner Schiehlen

    1. Institut B für Mathematik, Universität Stuttgart, Stuttgart, Germany

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  3. Wolfgang L. Wendland

    1. Mathematisches Institut A, Universität Stuttgart, Stuttgart, Germany

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  • Edited state-of-the-art report on a hot topic in Applied Mathematics, Mechanics and Physics

  • Includes supplementary material: sn.pub/extras

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Table of contents (30 chapters)

  1. Front Matter

    Pages I-XXVI
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  2. The Many Roles of Viscosity in Solid Mechanics

    1. The Many Roles of Viscosity in Solid Mechanics

      • Stuart S. Antman
      Pages 1-10

  3. Multiscale Approach to a Basic Problem of Materials Mechanics (Propagation of Phase-Transition Fronts)

    1. Multiscale Approach to a Basic Problem of Materials Mechanics (Propagation of Phase-Transition Fronts)

      • Gérard A. Maugin
      Pages 11-22

  4. Two and Multiphase Flows

    1. Front Matter

      Pages 23-23
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    2. Analysing Particle Sedimentation in Fluids by Measure-Valued Stochastic Processes

      • Christian Hesse, Armin Dunz
      Pages 25-33

    3. Phenomenological Model of Sedimentation-Consolidation Processes

      • R. Bürger
      Pages 34-41

    4. The Structure of Bidisperse Suspensions at Low Reynolds Numbers

      • K. Höfler, S. Schwarzer
      Pages 42-49

    5. Lattice Boltzmann Simulations of Complex Multiphase Flows

      • M. Krafczyk, P. Lehmann, O. Filippova, D. Hänel, U. Lantermann
      Pages 50-57

    6. Interface Tracking in Multiphase Flows

      • A.-K. Tornberg, B. Engquist
      Pages 58-65

  6. Solid—Fluid—Interaction

    1. Front Matter

      Pages 113-113
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    2. Boundary Conditions at the Viscous Sliding Interface of Incompressible Porous Deformable Media

      • G. A. Ateshian, X. Wang
      Pages 115-124

    3. Computational Experience from the Solution of Coupled Problems in Ship Dynamics

      • Frank Ihlenburg
      Pages 125-134

    4. On the Adaptive Computation of Shear Bands in Frictional Geomaterials

      • Wolfgang Ehlers, Peter Ellsiepen
      Pages 135-142

    5. Intrinsic Viscoelasticity of Porous Materials

      • Wolfgang Ehlers, Bernd Markert
      Pages 143-150
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Keywords

About this book

The simulation of complex engineering problems often involves an interaction or coupling of individual phenomena, which are traditionally related by themselves to seperate fields of applied mechanics. Typical examples of these so-called multifield problems are the thermo-mechanical analysis of solids with coupling between mechanical stress analysis and thermal heat transfer processes, the simulation of coupled deformation and fluid transport mechanisms in porous media, the prediction of mass transprot and phase transition phenomena of mixtures, the analysis of sedimentation processes based on an interaction of particle dynamics and viscous flow, the simulation of multibody systems and fluid-structure interactions based on solid-to-solid and solid-to-fluid contact mechanisms.

Editors and Affiliations

  • Mathematisches Institut A, Universität Stuttgart, Stuttgart, Germany

    Anna-Margarete Sändig, Wolfgang L. Wendland

  • Institut B für Mathematik, Universität Stuttgart, Stuttgart, Germany

    Werner Schiehlen

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