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Random Heterogeneous Materials

Random Heterogeneous Materials
Author: Salvatore Torquato
Publisher: Springer Science & Business Media
Total Pages: 720
Release: 2013-04-17
Genre: Mathematics
ISBN: 1475763557

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This accessible text presents a unified approach of treating the microstructure and effective properties of heterogeneous media. Part I deals with the quantitative characterization of the microstructure of heterogeneous via theoretical methods; Part II treats a wide variety of effective properties of heterogeneous materials and how they are linked to the microstructure, accomplished by using rigorous methods.


GWAI-92

GWAI-92
Author: Hans Jürgen Ohlbach
Publisher: Springer Verlag
Total Pages: 397
Release: 1993
Genre: Computers
ISBN: 9780387566672

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"This volume gives the proceedings of the sixteenth German Conference on Artificial Intelligence, held in the Gustav Stresemann Institute in Berlin from August 31 to September 3, 1992. The volume contains 24 papers presentedin the technical sessions, 8 papers selected from the workshop contributions, and an invited talk by D.M. Gabbay entitled "Howto construct a logic for your application". Topics discussed in the technical papers include: a model elimination calculus, a sorted logic, human theorem proving, deduction based on Shannon graphs, expert system applications, knowledge engineering, time interval networks, forward logic evaluation, concept support, heuristic inductivegeneralization, language engineering, feature logic, similarity assessment, and many others."--PUBLISHER'S WEBSITE.


Micromechanics of Heterogeneous Materials

Micromechanics of Heterogeneous Materials
Author: Valeriy Buryachenko
Publisher: Springer Science & Business Media
Total Pages: 704
Release: 2007-09-20
Genre: Science
ISBN: 0387684859

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Here is an accurate and timely account of micromechanics, which spans materials science, mechanical engineering, applied mathematics, technical physics, geophysics, and biology. The book features rigorous and unified theoretical methods of applied mathematics and statistical physics in the material science of microheterogeneous media. Uniquely, it offers a useful demonstration of the systematic and fundamental research of the microstructure of the wide class of heterogeneous materials of natural and synthetic nature.


Local and Nonlocal Micromechanics of Heterogeneous Materials

Local and Nonlocal Micromechanics of Heterogeneous Materials
Author: Valeriy A. Buryachenko
Publisher: Springer Nature
Total Pages: 1012
Release: 2021-11-16
Genre: Technology & Engineering
ISBN: 3030817849

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This book presents the micromechanics of random structure heterogeneous materials, a multidisciplinary research area that has experienced a revolutionary renascence at the overlap of various branches of materials science, mechanical engineering, applied mathematics, technical physics, geophysics, and biology. It demonstrates intriguing successes of unified rigorous theoretical methods of applied mathematics and statistical physics in material science of microheterogeneous media. The prediction of the behaviour of heterogeneous materials by the use of properties of constituents and their microstructure is a central problem of micromechanics. This book is the first in micromechanics where a successful effort of systematic and fundamental research of the microstructure of the wide class of heterogeneous materials of natural and synthetic nature is attempted. The uniqueness of the book lies in its development and expressive representation of statistical methods quantitatively describing random structures which are at most adopted for the forthcoming evaluation of a wide variety of macroscopic transport, electromagnetic, strength, and elastoplastic properties of heterogeneous materials.


Microstructure and Macroscopic Behavior of Random Heterogeneous Materials

Microstructure and Macroscopic Behavior of Random Heterogeneous Materials
Author:
Publisher:
Total Pages: 13
Release: 1996
Genre:
ISBN:

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This project attempted to systematically and quantitatively characterize the microstructure of heterogeneous materials and to use such information to predict rigorously the macroscopic behavior (e.g., effective moduli). By employing homogenization theory and the methods of statistical mechanics, we were able to mathematically describe the microstructure and, as a result, accurately determine the macroscopic response under a wide range of conditions. A goal was to treat seemingly disparate problems using a unified methodology. The generality of our approach enabled us to treat a wide class of two- and three-phase isotropic and anisotropic heterogeneous materials. This work will aid in leading to a highly cost-effective means of optimally designing heterogeneous materials for a particular application.


Mechanics of Random and Multiscale Microstructures

Mechanics of Random and Multiscale Microstructures
Author: Dominique Jeulin
Publisher: Springer
Total Pages: 270
Release: 2014-05-04
Genre: Computers
ISBN: 3709127807

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This book reviews recent theoretical, computational and experimental developments in mechanics of random and multiscale solid materials. The aim is to provide tools for better understanding and prediction of the effects of stochastic (non-periodic) microstructures on materials’ mesoscopic and macroscopic properties. Particular topics involve a review of experimental techniques for the microstructure description, a survey of key methods of probability theory applied to the description and representation of microstructures by random modes, static and dynamic elasticity and non-linear problems in random media via variational principles, stochastic wave propagation, Monte Carlo simulation of random continuous and discrete media, fracture statistics models, and computational micromechanics.