Continuum Models and Discrete Systems

Front Matter....Pages i-xx
Front Matter....Pages 1-1
Noise in Non-Ohmic Regimes of Disordered Systems....Pages 3-3
Coupled Tent and Logistic Maps: Lyapunov Exponents, Stability and Bifurcations of Invariant Set Belonging to the Map Diagonal....Pages 5-12
Self-Assembled 2D Dipole Clusters made of Magnetic Particles: Experiment, Modeling, and Application for Tunable Photonic Crystals....Pages 13-13
Transforming to Chaos by Normal Forms....Pages 15-20
Representative Volume Element: A Statistical Point of View....Pages 21-27
Diffusion Mediated Transport and the Brownian Motor....Pages 29-36
A Phase Field System with Memory: Stability and Damped Oscillations....Pages 37-41
Pattern Formation, Reconstruction, and Roughening on a Catalytic Surface....Pages 43-43
Front Matter....Pages 45-45
The Special Electrical Properties and the Corresponding Applications of Carbon Black-Polymer Composites....Pages 47-53
Continuum Field Model of Defect-Induced Heterogeneities in a Strained Thin Layer....Pages 55-62
The Effective Conductivity of Densely Packed High Contrast Composites With Inclusions of Optimal Shape....Pages 63-74
Simple Algebraic Approximations for The Effective Elastic Moduli of a Cubic Array of Spheres....Pages 75-80
Geometrical Factors Affecting the Bulk Electrical Properties of Soils and Rocks: Measurements and Continuum Mean Field Computations....Pages 81-82
Information Theoretical Sliding Window Optimization Applied to Discretization of Continuous Signals....Pages 83-83
Dispersive Durable Systems: The Technology of Synthesis with Given Properties....Pages 85-97
Artificial “Magnetic Atoms” for Microwave Composite Materials....Pages 99-104
Effective Properties of Matrix Composite Materials with High Volume Concentrations of Inclusions (Effective Field Approach)....Pages 105-105
On the Effective Constants of Inhomogeneous Poroelastic Medium....Pages 107-113
On the Solutions of the Inhomogeneous Helmholtz Wave Equation for Ellipsoidal Sources....Pages 115-122
Computational Mesomechanics of Materials....Pages 123-128
Front Matter....Pages 45-45
Non-Homogenization Approach to the Analysis of Periodic Elastic Systems: Applications to Fracture Mechanics and Topological Optimization....Pages 129-134
Plasmonic Nanoantennas....Pages 135-135
Effective Conductivity of Non-Linear Composites and Electrical Breakdown....Pages 137-141
Exact Relations between Macroscopic Moduli of Composite Media in n Dimensions....Pages 143-149
Local Fields Effects and Optical Susceptibility of Composite Media....Pages 151-157
On the Approximation Theorem for Functionals and the Asymptotic Stability for Some Classes of Polynomial Fluids....Pages 159-164
The Lattice-Gas Model in Microaero-Hydrodynamics Problems....Pages 165-171
Computation of Ground Bearing Capacity from Shear Wave Velocity....Pages 173-180
Boundary Element Method Applied to Some Multiphase Flows....Pages 181-182
Front Matter....Pages 183-183
Noisy Reaction-Diffusion Models and their Biological Implications....Pages 185-185
Engineered Self-Organization in Natural and Man-Made Systems....Pages 187-205
Front Matter....Pages 207-207
Annealing of Dislocations in Two Dimensions—Partial Universality....Pages 209-213
Elasto-Plastic Models with Dislocations Based on Configuration with Torsion....Pages 215-220
Spin Effects in Plasticity....Pages 221-221
Molecular Model of Rupture of a Macromolecular Chain of a Loaded Oriented Crystalline Polymer....Pages 223-229
A Molecular Dynamics and An Elastic Continuum Study of Screw Dislocations in Copper....Pages 231-236
Front Matter....Pages 237-237
Damage Mechanisms and Fracture of Glass at the Nanometer Scale....Pages 239-240
The Generation of Non-Trivial Fracture Surface in the Dynamic Fracture of Brittle Materials....Pages 241-244
Prediction Possibility in the Fractal Overlap Model of Earthquakes....Pages 245-250
Dynamical Instabilities of Quasi-Static Crack Propagation under Thermal Stress....Pages 251-251
Front Matter....Pages 237-237
Inclusion based Modeling of Concrete with Various Aggregate Volume Fractions....Pages 253-258
Front Matter....Pages 259-259
Analysis of Stochastically Heterogeneous Microbeams by a Functional Perturbation Method....Pages 261-268
Modeling Infiltration During Soil Seal Formation: Effects of Seal Non-Uniformity in Depth and Soil Heterogeneity in Space....Pages 269-270
A Fractal Model for Analyzing Satellite-Radar-Altimetry Images of the Sea Surface....Pages 271-276
Diffusion Equation with Fractional Time Derivative—Physical Sense and Practical Realization....Pages 277-277
Theory of a Naturally Discrete Model for DNA Elasticity that Accounts for the Dependence of the Mechanical Properties of DNA on Nucleotide Sequence....Pages 279-280
Integral Representations for Solutions of some Nonclassical One Dimensional Pseudoparabolic Problems....Pages 281-286
Phononic Band Gap Properties of Doubly Periodic Arrays of Coated Inclusions....Pages 287-294
Adaptation of Autocatalytic Reactants to Discrete Catalysts....Pages 295-295
How Faithful are Continuum Models to Discrete Systems? Some Strange Rigorous Results and their Obvious Real Life Applications....Pages 297-298
Bridging Micro and Macro Scales in Fluids....Pages 299-310
Front Matter....Pages 311-311
What Controls the Rheology of Granular Materials?....Pages 313-313
Elasticity and Force Chains....Pages 315-326
Restructuring of Force Networks....Pages 327-340
Hydrodynamics of “Thermal” Granular Convection....Pages 341-346
Force Chains and Stress in Granular Materials....Pages 347-347
Front Matter....Pages 349-349
Exact Relations Between Critical Exponents for Elastic Stiffness and Electrical Conductivity of Percolating Networks....Pages 351-357
Mixed Transfer-Matrix Method for Computing the Macroscopic Conductivity of Three-Constituent Extreme Networks: Mixtures of Normal Conductor, Perfect Insulator, and Perfect Conductor....Pages 359-365
Variable Range Hopping Conduction in Complex Systems and a Percolation Model with Tunneling....Pages 367-373
The Effective Properties of Macroscopically Inhomogeneous Ferromagnetic Composites....Pages 375-375
Front Matter....Pages 377-377
Switching Transitions in Confined Liquid Crystals....Pages 379-385
Patterns in Drying Water Films....Pages 387-398
Stability of Stationary Periodic Solutions of the Convective Cahn-Hilliard Equation....Pages 399-404
A Dynamical System Approach to Aridity and Desertification....Pages 405-418
Back Matter....Pages 419-426