Ebook: Multifield Problems: State of the Art

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.

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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.

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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.
Content:
Front Matter....Pages I-XXVI
The Many Roles of Viscosity in Solid Mechanics....Pages 1-10
Multiscale Approach to a Basic Problem of Materials Mechanics (Propagation of Phase-Transition Fronts)....Pages 11-22
Front Matter....Pages 23-23
Analysing Particle Sedimentation in Fluids by Measure-Valued Stochastic Processes....Pages 25-33
Phenomenological Model of Sedimentation-Consolidation Processes....Pages 34-41
The Structure of Bidisperse Suspensions at Low Reynolds Numbers....Pages 42-49
Lattice Boltzmann Simulations of Complex Multiphase Flows....Pages 50-57
Interface Tracking in Multiphase Flows....Pages 58-65
Front Matter....Pages 67-67
Finite Element Computation of Macroscopic Quantities in Nonconvex Minimisation Problems and Applications in Materials Science....Pages 69-79
Homogenization of an Initial-Boundary Value Problem Describing Evolving Microstructure....Pages 80-87
Aspects of Homogenization Techniques and Multigrid Solving....Pages 88-95
Estimates on the Mixture Function for Multiphase Problems in Elasticity....Pages 96-103
A Two—Scale Micro—Macro—Approach to Anisotropic Finite Plasticity of Polycrystals....Pages 104-111
Front Matter....Pages 113-113
Boundary Conditions at the Viscous Sliding Interface of Incompressible Porous Deformable Media....Pages 115-124
Computational Experience from the Solution of Coupled Problems in Ship Dynamics....Pages 125-134
On the Adaptive Computation of Shear Bands in Frictional Geomaterials....Pages 135-142
Intrinsic Viscoelasticity of Porous Materials....Pages 143-150
Numerical Simulation of Fluids Interacting with Moving Rigid Bodies....Pages 151-158
Partitioned Analysis of Transient Nonlinear Fluid Structure Interaction Problems Including Free Surface Effects....Pages 159-166
Front Matter....Pages 167-167
Domain Decomposition Methods in the Design of High Power Electronic Devices....Pages 169-182
Matrix Compression for the Radiation Heat Transfer in Exhaust Pipes....Pages 183-192
Front Matter....Pages 167-167
An Iterative Substructuring Method with Lagrange Multipliers for Elasticity Problems Using Approximate Neumann Subdomain Solvers....Pages 193-200
A New a Posteriori Error Estimator in Adaptive Direct Boundary Element Methods. The Neumann Problem....Pages 201-208
Efficient Elasto-Plastic Simulation....Pages 209-216
Front Matter....Pages 217-217
Sensitivity and Optimal Control in Contact Mechanics....Pages 219-228
On the Treatment of Contact Problems in Elasto-Plasticity....Pages 229-236
On Contact Problems for Linear and Nonlinear Elastic Plates: Existence of Solutions and Application of Augmented Lagrangian Method....Pages 237-245
Longitudinal Wave Propagation in Conical Rods Subject to Impacts....Pages 246-253
A Survey on Dynamic Contact Problems with Coulomb Friction....Pages 254-261
Numerical Simulation of Noise Radiation from Rolling Tires....Pages 262-269
Stress Singularities in Composites....Pages 270-277

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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.
Content:
Front Matter....Pages I-XXVI
The Many Roles of Viscosity in Solid Mechanics....Pages 1-10
Multiscale Approach to a Basic Problem of Materials Mechanics (Propagation of Phase-Transition Fronts)....Pages 11-22
Front Matter....Pages 23-23
Analysing Particle Sedimentation in Fluids by Measure-Valued Stochastic Processes....Pages 25-33
Phenomenological Model of Sedimentation-Consolidation Processes....Pages 34-41
The Structure of Bidisperse Suspensions at Low Reynolds Numbers....Pages 42-49
Lattice Boltzmann Simulations of Complex Multiphase Flows....Pages 50-57
Interface Tracking in Multiphase Flows....Pages 58-65
Front Matter....Pages 67-67
Finite Element Computation of Macroscopic Quantities in Nonconvex Minimisation Problems and Applications in Materials Science....Pages 69-79
Homogenization of an Initial-Boundary Value Problem Describing Evolving Microstructure....Pages 80-87
Aspects of Homogenization Techniques and Multigrid Solving....Pages 88-95
Estimates on the Mixture Function for Multiphase Problems in Elasticity....Pages 96-103
A Two—Scale Micro—Macro—Approach to Anisotropic Finite Plasticity of Polycrystals....Pages 104-111
Front Matter....Pages 113-113
Boundary Conditions at the Viscous Sliding Interface of Incompressible Porous Deformable Media....Pages 115-124
Computational Experience from the Solution of Coupled Problems in Ship Dynamics....Pages 125-134
On the Adaptive Computation of Shear Bands in Frictional Geomaterials....Pages 135-142
Intrinsic Viscoelasticity of Porous Materials....Pages 143-150
Numerical Simulation of Fluids Interacting with Moving Rigid Bodies....Pages 151-158
Partitioned Analysis of Transient Nonlinear Fluid Structure Interaction Problems Including Free Surface Effects....Pages 159-166
Front Matter....Pages 167-167
Domain Decomposition Methods in the Design of High Power Electronic Devices....Pages 169-182
Matrix Compression for the Radiation Heat Transfer in Exhaust Pipes....Pages 183-192
Front Matter....Pages 167-167
An Iterative Substructuring Method with Lagrange Multipliers for Elasticity Problems Using Approximate Neumann Subdomain Solvers....Pages 193-200
A New a Posteriori Error Estimator in Adaptive Direct Boundary Element Methods. The Neumann Problem....Pages 201-208
Efficient Elasto-Plastic Simulation....Pages 209-216
Front Matter....Pages 217-217
Sensitivity and Optimal Control in Contact Mechanics....Pages 219-228
On the Treatment of Contact Problems in Elasto-Plasticity....Pages 229-236
On Contact Problems for Linear and Nonlinear Elastic Plates: Existence of Solutions and Application of Augmented Lagrangian Method....Pages 237-245
Longitudinal Wave Propagation in Conical Rods Subject to Impacts....Pages 246-253
A Survey on Dynamic Contact Problems with Coulomb Friction....Pages 254-261
Numerical Simulation of Noise Radiation from Rolling Tires....Pages 262-269
Stress Singularities in Composites....Pages 270-277
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