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Heterogeneous Materials I: Linear Transport and Optical Properties (Interdisciplinary Applied Mathematics) (v. 1)
 
 
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Heterogeneous Materials I: Linear Transport and Optical Properties (Interdisciplinary Applied Mathematics) (v. 1) [Hardcover]

Muhammad Sahimi (Author)

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Book Description

May 15, 2003 0387001670 978-0387001678 1
This book describes and discusses the properties of heterogeneous materials. The properties considered include the conductivity (thermal, electrical, magnetic), elastic moduli, dielectrical constant, optical properties, mechanical fracture, and electrical and dielectrical breakdown properties. Both linear and nonlinear properties are considered. The nonlinear properties include those with constitutive non-linearities as well as threshold non-linearities, such as brittle fracture and dielectric breakdown. A main goal of this book is to compare two fundamental approaches to describing and predicting materials properties, namely, the continuum mechanics approach, and those based on the discrete models. The latter models include the lattice models and the atomistic approaches. The book provides comprehensive and up to date theoretical and computer simulation analysis of materials' properties. Typical experimental methods for measuring all of these properties are outlined, and comparison is made between the experimental data and the theoretical predictions. Volume I covers linear properties, while Volume II considers non-linear and fracture and breakdown properties, as well as atomistic modeling. This multidisciplinary book will appeal to applied physicists, materials scientists, chemical and mechanical engineers, chemists, and applied mathematicians.

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From the reviews:

"This work represents the first part of an impressive two-volume book that describes various theoretical and computational approaches related to effective macroscopic properties of heterogeneous materials. … A main goal is to compare two fundamental directions used to study the heterogeneous materials properties, namely the continuum mechanics approach and the discrete model approach. … This multidisciplinary book is recommended to materials scientists, chemical and mechanical engineers, and applied physicists and mathematicians." (Olivian Simionescu, Zentralblatt MATH, Vol. 1028, 2004)

From the Back Cover

 

This book describes and discusses the properties of heterogeneous materials. The properties considered include the conductivity (thermal, electrical, magnetic), elastic moduli, dielectrical constant, optical properties, mechanical fracture, and electrical and dielectrical breakdown properties. Both linear and nonlinear properties are considered. The nonlinear properties include those with constitutive nonlinearities as well as threshold nonlinearities, such as brittle fracture and dielectric breakdown.

A main goal of this book is to compare two fundamental approaches to describing and predicting materials properties, namely, the continuum mechanics approach and those based on the discrete models. The latter models include the lattice models and the atomistic approaches.

The book provides comprehensive and up-to-date theoretical and computer simulation analysis of materials properties. Typical experimental methods for measuring all of these properties are outlined, and comparison is made between the experimental data and the theoretical predictions. Volume I covers linear properties, while volume II considers nonlinear and fracture and breakdown properties, as well as atomistic modeling.

This multidisciplinary book will appeal to applied physicists, materials scientists, chemical and mechanical engineers, chemists, and applied mathematicians.

Muhammad Sahimi is Professor and Chairman of Chemical Engineering at the University of Southern California in Los Angeles, and Adjunct Professor of Physics at the Institute for Advanced Studies in Basic Sciences in Zanjan, Iran. His current research interests include transport and mechanical properties of heterogeneous materials: flow, diffusion and reaction in porous media, and large-scale scientific complications. Among his honors are the Alexander von Humbodt Foundation Research Award, and the Kapitza Gold Medal.

--This text refers to an alternate Hardcover edition.

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Inside This Book (learn more)
First Sentence:
This two-volume book was written at the dawn of the 21st century. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
vector percolation models, fracton hopping, entropic networks, average hitting time, elastic percolation networks, exact duality relations, scalar percolation, percolation disorder, rigidity percolation, percolation composites, bootstrap percolation, effective transport properties, matrix laminate composites, bond percolation threshold, conducting bonds, conductance distribution, effective conductivity, impenetrable disks, random resistor networks, bond conductances, waiting time density, percolation prediction, percolation correlation length, rigidity transition, percolation systems
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Monte Carlo, Lord Rayleigh, Reconstruction of Heterogeneous Materials, Simulated Annealing, Derivation of Elastic Networks
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