Heterogeneous Media: Micromechanics Modeling Methods and SimulationsKonstantin Markov, Luigi Preziosi Most materials used in contemporary life and industry are heterogeneous (composites) and multicomponent, possessing a rich and complex internal structure. This internal structure, or microstructure, plays a key role in understanding and controlling the continuum behavior, or macroscopic, of a wide variety of materials. The modeling process is a critical tool for scientists and engineers studying the analysis and experimentation for the micromechanics and behavior of these materials. "Heterogeneous Media" is a critical, in-depth edited survey of the major topics surrounding the modeling and analysis of problems in micromechanics of multicomponent systems, including conceptual and practical aspects. The goal of this extensive and comprehensive survey is to provide both specialists and nonspecialists with an authoritative and interdisciplinary perspective of current ideas and methods used for modeling heterogeneous materials behavior and their applications. Topics and Features: * all chapters use interdisciplinary modeling perspective for investigating heterogeneous media*Five chapters provide self-contained discussions, with background provided*Focuses only upon most important techniques and models, fully exploring micro-macro interconnections*extensive introductory survey chapter on micromechanics of heterogeneous media*microstructure characterization via statistical correlation functions*micro-scale deformation of pore space*wave fields and effective dynamical properties*modeling of the complex production technologies for composite materials The book is ideal for a general scientific and engineering audience needing an in-depth view and guide to current ideas, methods and |
Contents
III | 1 |
IV | 2 |
V | 21 |
VI | 53 |
VII | 85 |
VIII | 105 |
IX | 139 |
X | 146 |
XXXII | 270 |
XXXIII | 277 |
XXXIV | 284 |
XXXV | 288 |
XXXVI | 294 |
XXXVII | 304 |
XXXVIII | 309 |
XXXIX | 312 |
XI | 163 |
XII | 164 |
XIII | 168 |
XIV | 172 |
XV | 175 |
XVI | 181 |
XVII | 185 |
XVIII | 187 |
XIX | 195 |
XX | 202 |
XXI | 213 |
XXII | 222 |
XXIII | 233 |
XXIV | 239 |
XXV | 240 |
XXVI | 243 |
XXVII | 248 |
XXVIII | 251 |
XXIX | 257 |
XXX | 261 |
XXXI | 265 |
Other editions - View all
Heterogeneous Media: Micromechanics Modeling Methods and Simulations Konstantin Markov,Luigi Preziosi No preview available - 2012 |
Heterogeneous Media: Micromechanics Modeling Methods and Simulations Konstantin Markov,Luigi Preziosi No preview available - 2011 |
Common terms and phrases
Appl applied approximation attenuation average basic boundary conditions bulk modulus coefficient component composite materials consider constituent constitutive equations correlation functions cracks Darcy's law defined deformation derived dielectric diffusion dispersion effective conductivity effective medium effective properties elastic moduli equation fiber Figure flow fluid permeability formula Gauss theorem given gradient Hashin heat flux Hence heterogeneous media homogeneous hypotrochoid inclusions inhomogeneity injection moulding integral isotropic k₁ liquid lower bound macroscopic Math matrix Mech micromechanics microstructure mixture one-particle problem parameter particles phase Phys Poisson ratio polycrystals pore compressibility pore pressure poroelasticity porous media preform propagation radius random ratio region resin scalar Section self-consistent solution spheres spherical spheroid strain stress surface temperature tensor Theorem theory tion Torquato trapping constant trial fields two-phase two-point upper bound V₁ variational principles vector velocity viscosity volume concentrations wave-number