Dedication |
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v | |
Preface |
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xiii | |
In Memoriam of Ekkehart Kroener |
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xv | |
In Memoriam of Konstantin Zdravkov Markov |
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xvii | |
Acknowledgment |
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xx | |
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Part I Thermodynamics, transport theory, and statistical mechanics in the context of continuum modeling of discrete systems |
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GL Noise in non-Ohmic regimes of disordered systems (abstract) |
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3 | (2) |
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RC Coupled tent and logistic maps: Lyapunov exponents, stability and bifurcations of invariant set belonging to the map diagonal |
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5 | (8) |
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RC Self-assembled 2D dipole clusters (abstract) made of magnetic particles: experiment, modeling and aplication for tunable photonic crystals |
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13 | (2) |
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RC Transforming to chaos by normal forms |
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15 | (6) |
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RC Representative volume element: A statistical point of view (not presented) |
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21 | (8) |
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RC Diffusion mediated transport and the Brownian motor |
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29 | (8) |
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RC A phase field system with memory |
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37 | (6) |
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RC Pattern formation, reconstruction, and roughening on a catalytic surface (abstract) |
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43 | (4) |
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Part II Continuum mechanics of complex fluids and deformable solids with microstructure |
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RC The special electrical properties and the corresponding applications of carbon black-polymer composites |
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47 | (8) |
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RC Continuum field model of defect-induced heterogeneities in a strained thin layer |
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55 | (8) |
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GL The effective conductivity of densely packed high contrast composites with inclusions of optimal shape |
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63 | (12) |
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RC Simple algebraic approximations for the effective elastic moduli of a cubic array of spheres |
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75 | (6) |
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RC Geometrical factors affecting the bulk electrical properties of soils and rocks: Measurements and continuum mean field computations (abstract) |
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81 | (2) |
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RC Information theoretical sliding window optimization applied to discretization of continuous signals (abstract) |
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83 | (2) |
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RC Dispersive durable systems: The technology of synthesis with given properties |
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85 | (14) |
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RC Artificial ``magnetic atoms'' for microwave composite materials |
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99 | (6) |
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RC Effective properties of matrix composite materials with high volume concentrations of inclusions (abstract) |
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105 | (2) |
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RC On the effective constants of inhomogeneous poroelastic medium |
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107 | (8) |
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RC On the solutions of the inhomogeneous Helmholtz wave equation for ellipsoidal sources |
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115 | (8) |
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RC Computational mesomechanics of materials |
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123 | (6) |
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RC Non-homogenization approach to the analysis of periodic elastic systems: Applications to fracture mechanics and topological optimization |
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129 | (6) |
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RC Plasmonic nanoantennas (abstract) |
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135 | (2) |
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RC Effective conductivity of non-linear composites and electrical breakdown |
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137 | (6) |
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RC Exact relations between macroscopic moduli of composite media in n dimensions |
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143 | (8) |
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RC Local fields effects and optical susceptibility of composite media |
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151 | (8) |
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RC On the approximation theorem for functionals and the asymptotic stability for some classes of polynomial fluids |
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159 | (6) |
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RC The lattice-gas model in micro- aero-hydrodynamics problems |
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165 | (8) |
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RC Computation of ground bearing capacity from shear wave velocity |
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173 | (8) |
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RC Boundary element method applied to some multiphase flows (abstract) |
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181 | (4) |
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Part III Continuum theory of living structures |
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GL Noisy reaction-diffusion models and their biological implications (abstract) |
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185 | (2) |
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GL Engineered self-organization in natural and man-made systems |
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187 | (22) |
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Part IV Dislocations and plasticity |
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RC Annealing of dislocations in two dimensions---partial universality |
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209 | (6) |
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RC Elasto-plastic models with dislocations based on configuration with torsion |
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215 | (6) |
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RC Spin Effects in Plasticity (abstract) |
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221 | (2) |
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RC Molecular model of rupture of a macromolecular chain of a loaded oriented crystalline polymer |
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223 | (8) |
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RC A molecular dynamics and an elastic continuum study of screw dislocations in copper |
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231 | (8) |
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Part V Fundamentals of fracture, defect dynamics, fatigue, and crack dynamics on different microlevels |
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RC Damage mechanisms and fracture of glass at the nanometer scale (abstract) |
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239 | (2) |
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GL The generation of non-trivial fracture surface in the dynamic fracture of brittle materials (extended abstract) |
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241 | (4) |
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RC Prediction possibility in the fractal overlap model of earthquakes |
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245 | (6) |
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GL Dynamical instabilities of quasi-static crack propagation under thermal stress (abstract) |
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251 | (2) |
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RC Inclusion based modeling of concrete with various aggregate volume fractions |
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253 | (8) |
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Part VI New developments in continuum theory, non-classical mathematical models, and discrete vs. continuum models |
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RC Analysis of stochastically heterogeneous microbeams by a functional perturbation method |
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261 | (8) |
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RC Modeling infiltration during soil seal formation: Effects of seal non-uniformity in depth and soil heterogeneity in space (abstract) |
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269 | (2) |
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RC A fractal model for analyzing satellite-radar-altimetry images of the sea surface |
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271 | (6) |
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RC Diffusion equation with fractional time derivative---physical sense and practical realization (abstract) |
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277 | (2) |
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GL Theory of a naturally discrete model for DNA elasticity that accounts for the dependence of the mechanical properties of DNA on nucleotide sequence (abstract) |
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279 | (2) |
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RC Integral representations for solutions of some nonclassical one dimensional pseudoparabolic problems |
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281 | (6) |
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RC Phononic band gap properties of doubly periodic arrays of coated inclusions |
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287 | (8) |
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RC Adaptation of autocatalytic reactants to discrete catalysts (abstract) |
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295 | (2) |
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GL How faithful are continuum models to discrete systems? Some strange rigorous results and their obvious real life applications (abstract) |
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297 | (2) |
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GL Bridging micro and macro scales in fluids |
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299 | (14) |
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Part VII Granular material: Statics and dynamics |
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RC What controls the rheology of granular materials? (abstract) |
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313 | (2) |
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GL Elasticity and force chains |
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315 | (12) |
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GL Restructuring of force networks |
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327 | (14) |
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RC Hydrodynamics of ``thermal'' granular convection |
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341 | (6) |
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RC Force chains and stress in granular materials (abstract) |
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347 | (4) |
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Part VIII Percolation problems |
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RC Exact relations between critical exponents for elastic stiffness and electrical conductivity of percolating networks |
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351 | (8) |
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RC Mixed transfer-matrix method for computing the macroscopic conductivity of three-constituent extreme networks: Mixtures of normal conductor, perfect insulator, and perfect conductor |
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359 | (8) |
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RC Variable range hopping conduction in complex systems and a percolation model with tunneling |
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367 | (8) |
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RC The effective properties of macroscopically inhomogeneous ferromagnetic composites (abstract) |
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375 | (4) |
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Part IX Phase transitions and their applications |
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RC Switching transitions in confined liquid crystals |
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379 | (8) |
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GL Patterns in drying water films |
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387 | (12) |
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RC Stability of stationary periodic solutions of the convective Cahn-Hilliard equation |
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399 | (6) |
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GL A dynamical system approach to aridity and desertification |
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405 | (14) |
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Alphabetical list of conference participants with addresses |
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419 | (6) |
Author Index |
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425 | |