Bergman / Inan Continuum Models and Discrete Systems

Erscheinungsjahr 2013
ISBN: 978-1-4020-2316-3
Verlag: Springer Netherland
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 158, 426 Seiten, eBook

Reihe: NATO Science Series II: Mathematics, Physics and Chemistry

Zielgruppe

Research

Autoren/Hrsg.

Bergman, David J.

Inan, Esin

Inhaltsverzeichnis

ContentsDedication vPreface xiiiIn Memoriam of Ekkehart Kroener xvIn Memoriam of Konstantin Zdravkov Markov xviiAcknowledgment xxPart 1 Thermodynamics, transport theory, and statistical mechan icsGL Noise in non-Ohmic regimes of disordered systems (abstract) 3RC Coupled tent and logistic maps: Lyapunov exponents, stability and bifurcations of invariant set belonging to the map diagonal 5RC Self-assembied 2D dipole clusters (abstract) 13RC Transforming to chaos by forma! forms 15RC Representative volume element: A statistical point of view (not presented) 21 Dominique RC Diffusion mediated transport and the Brownian motor 29RC A phase field system with memory 37RC Pattern formation, reconstruction, and roughening on a catalytic surface(abstract) 43viii CONTINUUM MODELS AND DJSCRETE SYSTEMSPart II Continuum mechanics of complex fluids and deformable solids with microstructureRC The special electrical properties and the corresponding applications of carbon black-polymer composites 47RC Continuum field model of defect-induced heterogeneities in a strained thinlayer 55OL The effective conductivity of densely packed high contrast composites 63RC Simple algebraic approximations for the effective elastic moduli of a cubicarray of spheres 75RC Geometrical factors affecting the bulk electrical properties of soils and rocks: Measurements and continuum mean field computations (abstract) 81RC Information theoretical sliding window optimization applied to discretization of continuous signals (abstract) 83RC Dispersive durable systems: The technology of synthesis with given properties 85RC Artificial "magnetic atoms" for microwave composite materials 99RC Effective properties of matrix compositematerials with high volume con-centrations of inciusions (abstract) 105RC On the effective constants of inhomogeneous poroelastic medium 107RC On the solution of the inhomogeneous Helmholtz wave equation for ellipsoidal sources 115RC Computational mesomechanics of materials 123Contents ixRC Non-homogenization approach to the analysis of periodic elastic systems:Applications to fracture mechanics and topological optimization 129RC Plasmonic nanoantennas (abstract) 135RC Effective conductivity of non-linear composites and electrical breakdown 137 A. Snarskii and M. ZhenirovskyRC Exact relations between macroscopic moduli of composite media in n di-mensions 143RC Local field effects and optical susceptibility of composite media 151RC On the approximation theorem for functionals and the asymptotic stabilityfor some classes of polynomial fluids 159RC The lattice-gas model in micro- aero-hydrodynamics problems 165RC Computation of ground bearing capacity from shear wave velocity 173RC Boundary element method applied to some multiphase fiows (abstract) 181Part III Continuum theory of living structuresGL Noisy reaction-diffusion models and their biological implications (abstract) 185 Herbert LevineGL Engineered self-organization in natural and man-made systems 187Part IV Dislocations and plasticityRC Annealing of dislocations in two dimensions—partial universality 209RC Elasto-plastic models with dislocations based on configuration with torsion2l5 Sanda Cleja-Tigoiux CONTINUUM MODELS AND DISCRETE SYSTEMSRC Spin Effects in Plasticity (abstract) 221RC Molecular model of rupture of a macromolecular chain of a loaded orientedcrystalline polymer 223RC A molecular dynamics and an elastic continuum study of serewdislocations in copper 231Part V Fundamentals of fracture, defect dynamics, fatigue, and crack dynamics on different microlevelsRC Damage mechanisms and fracture of glass at the nanometer scale (abstract)239 GL The generation of non-trivial fracture surface in the dynamic fracture ofbrittie materials (extended abstract) 241RC Prediction possibility in the fractal overlap model of earthquakes 245GL Dynamical instabilities of quasi-static crack propagation under thermalstress (abstract) 251Itamar ProcacciaRC Inclusion based modeling of concrete with various aggregate volume fractions 253Part VI New developmeuts in continuum theory, non-classical mathematical models, and discrete vs. continuum modelsRC Analysis of stochastically heterogeneous microbeams by a functional per-turbation method 261Eli AltusRC Modeling infiltration during soil sea! formation: Effects of sea! non-uniformityin depth and soil heterogeneity in space (abstract) 269RC A fractal model for analyzing satellite-radar-altimetry images of the seasurface 271Contents xiRC Diffusion equation with fractional time derivative—physical sense andpractical realization (abstract) 277GL Theory of a naturally diserete model for DNA elasticity that accounts for the dependence of the mechanical properties of DNA on nucleotide sequence(abstract) 279Bernard Ii ColemanRC Integral representations for solutions of some nonciassical one dimensionalpseudoparabolic problems 281RC Phononic band gap properties of doubly periodic arrays of coated inclusions 287RC Adaptation of autocatalytic reactants to discrete catalysts (abstract) 295GL How faithful are continuum models to discrete systems? Some strange rigorous results and their obvious real lifeapplications (abstract) 297Sorin SolomonGL Bridging micro and macro scales in fluids 299Part VII Granular material: Statics and dynamicsRC What controls the rheology of granular materials? (abstract) 313GL Elasticity and force chains 315LGo1dhfr C. GoldenbergGL Restructuring of force networks 327Hans J. Herrmann R. Cruz Hidalgo, F KunRC Hydrodynamics of "thermal" granular convection 341RC Force chains and stress in granular materials (abstract) 347Part VIII Percolation problemsRC Exact relations between critical exponents for elastic stiffness and electrical conductivity of percolating networks 351xii CONTINUUM MODELS AND DISCRETE SYSTEMS Davidf. BergmanRC Mixed transfer-matrix method for computing the macroscopic conductivity of three-constituent extreme networks: Mixtures of normal conductor, perfectinsulator, and perfect conductor 359RC Variable range hopping conduction in complex systems and a percolationmodel with tunneling 367RC The effective properties of macroscopically inhomogeneous ferromagneticcomposites (abstract) 375Part IX Phase transitions and their applicationsRC Switching transitions in confined liquid crystals 379GL Patterns in drying water films 387RC Stability of stationary periodic solutions of the convective Cahn-Hilliardequation 399GL A dynamical system approach to aridity and desertification 405Alphabetical list of conference participants with addresses 419Author Index 425