Analysis and Simulation of Multifield Problems (Lecture Notes in Applied and Computational Mechanics)

The analysis and simulation of multifield problems have recently become one of the most actual and vivid areas of research. Although the individual subproblems of complex technical and physical phenomena often are understood separately, their interaction and coupling create not only new difficulties but also a complete new level and quality of interacting coupled field problems. Presented by leading experts this book includes recent results in these fields from the International Conference on Multifield Problems, April 8-10, 2002 at the University of Stuttgart, Germany. Keynote Speakers.- A Turbulent Dispersion Model for Particles or Bubbles.- Strong Coupling Methods.- Discontinuous Galerkin Method for Modeling Flow and Reactive Transport in Porous Media.- I. Material Modelling and Multiscale Problems.- Modelling and numerical simulation of martensitic transformation.- Coupling of Homogenization Techniques with Multigrid Solvers for Unstructured Meshes.- Cutting-plane integration algorithm for ductile materials with damage.- Upper and lower semicontinuity of a stable set for rate-independent processes.- Dissipation distances in multiplicative elastoplasticity.- Multiscale Modeling in the Mechanics of Materials: Cohesion, Interfacial Interactions, Inclusions and Defects.- Computational Homogenization of Materials with Microstructures Based on Incremental Variational Formulations.- Mechanical Properties and Damage Processes of Pyrolytic Carbon.- Optimal design of laminated composites.- II. Numerical Methods.- Conservation laws with discontinuous flux modeling clarifier-thickener units.- Artificial outlet boundary conditions for steady flows with rotational symmetry.- Modelling chemical vapour infiltration of pyrolytic carbon.- Performance of Some Finite Elements in Numerical Simulation of Complex Incompressible Three Dimensional Flow.- A fast multipole boundary element method for a modified hypersingular boundary integral equation.- Analysis of a Discretization Method for the Richards’ Equation.- A scheme for construction of algorithms for numerical solution of boundary-value problems on compound domains based on the difference potentials method.- The Identification Procedure of the Cosserat Material Constants as an Inverse Problem.- Taylor-Hood elements in 3D.- III. Solid Mechanics.- Singularities of surface-breaking cracks in bi-material interfaces.- Multi-time Scale Simulation of Longitudinal Impact Responses.- On admissible coefficients of friction for the solvability of contact problems with friction.- Regularity results for transmission problems for the Lam operator on polyhedral domains.- Quasistatic Propagation of Cracks.- New generalizations of the Cahn-Hilliard equation based on a microforce balance.- Contact of Elastic Bodies with Negative Poisson’s Ratio.- Transient Dynamic Response of a Cracked Piezoelectric Solid Under Impact Loading.- IV. Porous Media and Fluid – Structure Interaction.- Mixed-type systems of convection-diffusion equations modeling polydisperse sedimentation.- Simultaneous Solution to Viscous Fluid Flow Interacting with Large Amplitude Structural Vibrations.- A Continuum Approach for the Swelling of Charged Hydrated Media.- Simulation of Acoustics-Structure-Interaction on Non-Conforming Discretizations.- Injection-ejection fluid influence on velocity and vorticity distributions in laminar-turbulent transition of unsteady incompressible boundary layer on porous surface.- Modeling of Heterogeneities for Twophase Flow in the Subsurface.- Low-Dimensional Models of Flow over a Body of Revolution at High Incidence.- Multiphysics coupling of three-phase and two-phase models of flow in porous media.- On solving boundary value problem in fluid mechanics by Fourier’s method: Wall Interference of Transonic Wind Tunnels.- Boundary Element Formulations for Linear Poroelastodynamic Continua.- Aerodynamic, structural and electromagnetic interaction applied to conformal antennas.- Direct Simulation of Aeroacoustics.- Simulation of Sedimentation of Monodisperse and Polydisperse Suspensions.- Iterative Substructering Schemes for Fluid Structure Interaction.- Conference Programme.- Colored Pictures.