Multifield Problems

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

5. Mechanics of Materials and Multiscaling

   1. Front Matter

      Pages 67-67

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   2. Finite Element Computation of Macroscopic Quantities in Nonconvex Minimisation Problems and Applications in Materials Science

      • Sören Bartels, Carsten Carstensen, Petr Plecháč

      Pages 69-79

   3. Homogenization of an Initial-Boundary Value Problem Describing Evolving Microstructure

      • Hans-Dieter Alber

      Pages 80-87

   4. Aspects of Homogenization Techniques and Multigrid Solving

      • C. G. Bayreuther, C. Miehe, J. Schröder

      Pages 88-95

   5. Estimates on the Mixture Function for Multiphase Problems in Elasticity

      • Alexander Mielke

      Pages 96-103

   6. A Two—Scale Micro—Macro—Approach to Anisotropic Finite Plasticity of Polycrystals

      • C. Miehe, J. Schotte

      Pages 104-111

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

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.

• Mechanik
• applied mechanics
• calculus
• control
• design
• differential equation
• heat transfer
• mechanics
• mechanics of materials
• microstructure
• model
• phase transition
• plasticity
• simulation

• 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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