Multifield Problems in Solid and Fluid Mechanics

✍ Scribed by Stefan Berres, Raimund Bürger, Wolfgang L. Wendland (auth.), Prof. Dr. Rainer Helmig, Prof. Dr. Alexander Mielke, Prof. Dr. Barbara I. Wohlmuth (eds.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2006
• Tongue: English
• Leaves: 568
• Series: Lecture Notes in Applied and Computational Mechanics 28
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages I-XI
Front Matter....Pages 1-6
Mathematical Models for the Sedimentation of Suspensions....Pages 7-44
Multiphase Processes in Porous Media....Pages 45-82
Localization Analysis of Porous Granular Materials....Pages 83-112
Computer Simulation of Particle Suspensions....Pages 113-143
Multiscale Modeling of Anisotropies in Single Crystals and Polycrystals at Finite Strains....Pages 145-177
Front Matter....Pages 179-186
Fluid-Structure Interaction of Incompressible Flows and Thin-Walled Structures....Pages 187-218
Large-Scale Simulations of Acoustic-Structure Interaction Using the Fast Multipole BEM....Pages 219-244
Dynamics of Poured Polyhedra of Different Shape....Pages 245-269
Multilevel Numerical Algorithms and Experiments for Contact Dynamics....Pages 271-319
Front Matter....Pages 321-329
Regularity of Elastic Fields in Composites....Pages 331-360
Multilevel FEM for Heterogeneous Structures: From Homogenization to Multigrid Solvers....Pages 361-397
A Mathematical Framework for Generalized Standard Materials in the Rate-Independent Case....Pages 399-428
Heterogeneous Domain Decomposition for Numerical Aeroacoustics....Pages 429-459
Boundary Element Tearing and Interconnecting Domain Decomposition Methods....Pages 461-490
Analytical and Numerical Methods for Finite-Strain Elastoplasticity....Pages 491-529
Nonconforming Discretization Techniques for Coupled Problems....Pages 531-560
Back Matter....Pages 561-571

✦ Subjects

Theoretical and Applied Mechanics;Continuum Mechanics and Mechanics of Materials;Numerical and Computational Methods in Engineering;Mechanics;Computational Mathematics and Numerical Analysis