Multifield Problems in Solid and Fluid Mechanics

By: Rainer Helmig (Editor), Barbara I. Wohlmuth (Editor), Alexander Mielke (Editor)

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Hardcover | 6 September 2006

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584 Pages

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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.

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Project A2 "sedimentation with compression" : mathematical models for the sedimentation of suspensions	p. 7
Project A3 "multiphase processes in porous media" : multiphase processes in porous media	p. 45
Project A6 "material behavior and localization phenomena in the theory of porous media (TPM)" : localization analysis of porous granular materials	p. 83
Project A7 "microscopic simulations of suspensions - analysis of local behavior of polydisperse systems and nonspherical particles" : computer simulation of particle suspensions	p. 113
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	p. 145
Project B4 "fluid-structure interaction of shells" : fluid-structure interaction of incompressible flows and thin-walled structures	p. 187
Project B5 "acoustic and hydro-acoustic radiation of vibrating structures" : large-scale simulation of acoustic-structure interaction using the fast multipole BEM	p. 219
Project B7 "hybrid multibody simulation of poured particles" : dynamics of poured polyhedra of different shape	p. 245
Project B8 "contact dynamics with multibody systems and multigrid methods" : multilevel numerical algorithms and experiments for contact dynamics	p. 271
Project C5 "stress singularities in heterogeneous materials" : regularity of elastic fields in composites	p. 331
Project C6 "multiscale models and multigrid methods" : multilevel FEM for heterogeneous structures : from homogenization to multigrid solvers	p. 361
Project C7 "continuum mechanical models with hysteresis effects" : a mathematical framework for generalized standard materials in the rate-independent case	p. 399
Project C8 "heterogeneous domain decomposition for numerical aeroacoustics" : heterogeneous domain decomposition for numerical aeroacoustics	p. 429
Project C10 "domain decomposition methods" : boundary element tearing and interconnecting domain decomposition methods	p. 461
Project C11 "mathematical models of plasticity with finite deformations" : analytical and numerical methods for finite-strain elastoplasticity	p. 491
Project C12 "nonconforming discretization techniques for coupled problems" : nonconforming discretization techniques for coupled problems	p. 531
Table of Contents provided by Blackwell. All Rights Reserved.

Multifield Problems in Solid and Fluid Mechanics

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