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- W656368203 abstract "PREFACE BASIC RANDOM MEDIA MODELS Probability Measure of Geometric Objects Basic Point Fields Directional Data Random Fibers, Random Line Fields, Tessellations Basic Concepts and Definitions of Random Microstructures RANDOM PROCESSES AND FIELDS Elements of One-Dimensional Random Fields Mechanics Problems on One-Dimensional Random Fields Elements of Two- and Three-Dimensional Random Fields Mechanics Problems on Two- and Three-Dimensional Random Fields Ergodicity The Maximum Entropy Method PLANAR LATTICE MODELS: PERIODIC TOPOLOGIES AND ELASTOSTATICS One-Dimensional Lattices Planar Lattices: Classical Continua Applications in Mechanics of Composites Planar Lattices: Nonclassical Continua Extension-Twist Coupling in a Helix LATTICE MODELS: RIGIDITY, RANDOMNESS, DYNAMICS, AND OPTIMALITY Rigidity of Networks Spring Network Models for Disordered Topologies Particle Models Michell Trusses: Optimal Use of Material TWO- VERSUS THREE-DIMENSIONAL CLASSICAL ELASTICITY Basic Relations The CLM Result and Stress Invariance Poroelasticity TWO- VERSUS THREE-DIMENSIONAL MICROPOLAR ELASTICITY Micropolar Elastic Continua Classical vis-a-vis Nonclassical (Elasticity) Models Planar Cosserat Elasticity The CLM Result and Stress Invariance Effective Micropolar Moduli and Characteristic Lengths of Composites MESOSCALE BOUNDS FOR LINEAR ELASTIC MICROSTRUCTURES Micro-, Meso-, and Macroscales Volume Averaging Spatial Randomness Hierarchies of Mesoscale Bounds Examples of Hierarchies of Mesoscale Bounds Moduli of Trabecular Bone RANDOM FIELD MODELS AND STOCHASTIC FINITE ELEMENTS Mesoscale Random Fields Second-Order Properties of Mesoscale Random Fields Does There Exist a Locally Isotropic, Smooth Elastic Material? Stochastic Finite Elements for Elastic Media Method of Slip-Lines for Inhomogeneous Plastic Media Michell Trusses in the Presence of Random Microstructure HIERARCHIES OF MESOSCALE BOUNDS FOR NONLINEAR AND INELASTIC MICROSTRUCTURES Physically Nonlinear Elastic Microstructures Finite Elasticity of Random Composites Elastic-Plastic Microstructures Rigid-Perfectly Plastic Microstructures Viscoelastic Microstructures Stokes Flow in Porous Media Thermoelastic Microstructures Scaling and Stochastic Evolution in Damage Phenomena Comparison of Scaling Trends MESOSCALE RESPONSE IN THERMOMECHANICS OF RANDOM MEDIA From Statistical Mechanics to Continuum Thermodynamics Extensions of the Hill Condition Legendre Transformations in (Thermo)Elasticity Thermodynamic Orthogonality on the Mesoscale Complex versus Compound Processes: The Scaling Viewpoint Toward Continuum Mechanics of Fractal Media WAVES AND WAVEFRONTS IN RANDOM MEDIA Basic Methods in Stochastic Wave Propagation Toward Spectral Finite Elements for Random Media Waves in Random 1D Composites Transient Waves in Heterogeneous Nonlinear Media Acceleration Wavefronts in Nonlinear Media BIBLIOGRAPHY INDEX" @default.
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- W656368203 date "2007-08-13" @default.
- W656368203 modified "2023-10-17" @default.
- W656368203 title "Microstructural Randomness and Scaling in Mechanics of Materials" @default.
- W656368203 doi "https://doi.org/10.1201/9781420010275" @default.
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