Multifield Problems in Solid And... | Buy

Understanding the interaction between various processes is a pre-requisite for solving problems in natural and engineering sciences. Many phenomena can not be described by concentrating on them in isolation - therefore multifield models and concepts that include various kinds of field problems and processes are needed. This book summarizes the main scientific results of the Collaborative Research Center on Multifield Problems in Continuum Mechanics (Sonderforschungsbereich Mehrfeldprobleme in der Kontinuumsmechanik, SFB 404) funded by the German Research Foundation (DFG) from 1995-2006. The book is divided into three main sections: A: Volume-Coupled Problems, devoted to fields which are coupled inside the processing domain or volume, B: Boundary-Coupled Problems, here physical fields and processes are coupled via domain boundaries, C: Fundamental Methods, search into the mathematical concepts and backgrounds of multifield and multiscale modeling.

Part A Volume-Coupled Problems

Preface to Part A

3

(4)

Project A2 "Sedimentation with Compression"

Mathematical Models for the Sedimentation of Suspensions

Stefan Herres, Raimund Burger, Wolfgang L. Wendland

7

(38)

Project A3 "Multiphase Processes in Porous Media"

Multiphase Processes in Porous Media

Holger Class, Rainer Helmig, Jennifer Niessner, Ulrich Olmann

45

(38)

Project A6 "Material Behavior and Localization Phenomena in the Theory of Porous Media (TPM)"

Localization Analysis of Porous Granular Materials

Wolfgang Ehlers, Bernd Scholz

83

(30)

Project A7 "Microscopic Simulations of Suspensions – Analysis of Local Behavior of Polydisperse Systems and Nonspherical Particles"

Computer Simulation of Particle Suspensions

Jens Harting, Martin Hecht, Hans J. Herrmann, Sean McNamara

113

(32)

Project A8 "Numerical Simulation of Thermo-Mechanical Deformation Processes of Heterogeneous Materials with the Concept of Micro-Macro-Transitions"

Multiscale Modeling of Anisotropies in Single Crystals and Polycrystals at Finite Strains

Christian Miehe, Martin Becker

145

(36)

Part B Boundary-Coupled Problems

Preface to Part B

181

(6)

Project B4 "Fluid-Structure Interaction of Shells"

Fluid-Structure Interaction of Incompressible Flows and Thin-Walled Structures

Christiane Forster, Steffen Genkinger, Malte Neumann, Wolfgang A. Wall, Ekkehard Ramm

187

(32)

Project B5 "Acoustic and Hydro-Acoustic Radiation of Vibrating Structures"

Large-Scale Simulation of Acoustic-Structure Interaction Using the Fast Multipole BEM

Lothar Gaul, Matthias Fischer

219

(26)

Project B7 "Hybrid Multibody Simulation of Poured Particles"

Dynamics of Poured Polyhedra of Different Shape

Peter Eberhard, Beate Muth

245

(26)

Project B8 "Contact Dynamics with Multibody Systems and Multigrid Methods"

Multilevel Numerical Algorithms and Experiments for Contact Dynamics

Peter Eberhard, Stefan Hileber, Yu Jiang, Barbara I. Wohlmuth

271

(52)

Part C Fundamental Methods

Preface to Part C

323

(8)

Project C5 "Stress Singularities in Heterogeneous Materials"

Regularity of Elastic Fields in Composites

Dorothee Knees, Anna-Margarete Sdndig

331

(30)

Project C6 "Multiscale Models and Multigrid Methods"

Multilevel FEM for Heterogeneous Structures: From Homogenization to Multigrid Solvers

Christian Miehe, Claus G. Bayreuther

361

(38)

Project C7 "Continuum Mechanical Models with Hysteresis Effects" A Mathematical Framework for Generalized Standard

Materials in the Rate-Independent Case

Alexander Mielke

399

(30)

Project C8 "Heterogeneous Domain Decomposition for Numerical Aeroacoustics"

Heterogeneous Domain Decomposition for Numerical Aeroacoustics

Jens Utzmann, Thomas Schwartzkopff, Michael Dumbser, Claus-Dieter Munz

429

(32)

Project C10 "Domain Decomposition Methods"

Boundary Element Tearing and Interconnecting Domain Decomposition Methods

Gunther Of, Olaf Steinbach, Wolfgang L. Wendland

461

(30)

Project C11 "Mathematical Models of Plasticity with Finite Deformations"

Analytical and Numerical Methods for Finite-Strain Elastoplasticity

Ercan Giirses, Andreas Mainik, Christian Miehe, Alexander Mielke

491

(40)

Project C12 "Nonconforming Discretization Techniques for Coupled Problems"

Nonconforming Discretization Techniques for Coupled Problems

Bernd Flemisch, Barbara I. Wohlmuth

531

Appendix

List of Contributors

563

(4)

Index

567

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