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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.


Mechanics of Random and Multiscale Microstructures

Mechanics of Random and Multiscale Microstructures
Author: Dominique Jeulin
Publisher: Springer Science & Business Media
Total Pages: 280
Release: 2002-02-06
Genre: Computers
ISBN: 9783211836842

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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.


Effective Properties of Heterogeneous Materials

Effective Properties of Heterogeneous Materials
Author: Mark Kachanov
Publisher: Springer Science & Business Media
Total Pages: 393
Release: 2013-01-21
Genre: Science
ISBN: 9400757158

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The book contains state-of the-art reviews in the area of effective properties of heterogeneous materials - the classical field at interface of materials science and solid mechanics. The primary focus is on thermo-mechanical properties, materials science applications, as well as computational aspects and new opportunities provided by rapidly increasing computer powers. The reviews are at the level that is appropriate for a substantial community of researchers working in this field, both at universities and in the industry, and to graduate students. The book can be used as supplementary reading to graduate level courses.


Preparation and Crystal Growth of Materials with Layered Structures

Preparation and Crystal Growth of Materials with Layered Structures
Author: R.M.A. Lieth
Publisher: Springer Science & Business Media
Total Pages: 285
Release: 2013-06-29
Genre: Science
ISBN: 9401727503

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The goal of the series Physics and Chemistry of Materials with Layered Structures is to give a critical survey of our present knowledge on a large family of materials which can be described as solids containing molecules which in two dimensions extend to infinity and which are loosely stacked on top of each other to form three dimensional crystals. Of course, the physics and chemistry of these crystals are specific chapters in ordinary solid state science, and many a scientist hunting for new phenomena has in the past been disappointed to find that materials with layered structures are not entirely exotic. Their electron and phonon states are not two dimensional, and the high hopes held by some for spectacular dimensionality effects in superconductivity were shattered. Nevertheless, the structural features and their physical and chemical consequences singularize layered structures sufficiently to make them a fascinating subject of research. This is all the more true since they are met in insulators and semiconductors as well as in normal and superconducting metals. Although for the time being the series is intentionally limited to cover inorganic materials only, the many known organic layered structures may well be the subject of future volumes. Among the noteworthy peculiarities of layered structures, we mention specific growth mechanisms and crystal habits. Polytypism is very common and it is fasci nating indeed to find up to 240 different polytypes in the same chemical substance.


Dynamics of Heterogeneous Materials

Dynamics of Heterogeneous Materials
Author: Vitali Nesterenko
Publisher: Springer Science & Business Media
Total Pages: 528
Release: 2013-03-09
Genre: Technology & Engineering
ISBN: 1475735243

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This monograph deals with the behavior of essentially nonlinear heterogeneous materials in processes occurring under intense dynamic loading, where microstructural effects play the main role. This book is not an introduction to the dynamic behavior of materials, and general information available in other books is not included. The material herein is presented in a form I hope will make it useful not only for researchers working in related areas, but also for graduate students. I used it successfully to teach a course on the dynamic behavior of materials at the University of California, San Diego. Another course well suited to the topic may be nonlinear wave dynamics in solids, especially the part on strongly nonlinear waves. About 100 problems presented in the book at the end of each chapter will help the reader to develop a deeper understanding of the subject. I tried to follow a few rules in writing this book: (1) To focus on strongly nonlinear phenomena where there is no small parameter with respect to the amplitude of disturbance, including solitons, shock waves, and localized shear. (2) To take into account phenomena sensitive to materials structure, where typical space scale of material parameters (particle size, cell size) are presented in the models or are variable in experimental research.


Morphological Models of Random Structures

Morphological Models of Random Structures
Author: Dominique Jeulin
Publisher: Springer Nature
Total Pages: 919
Release: 2021-06-01
Genre: Mathematics
ISBN: 3030754529

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This book covers methods of Mathematical Morphology to model and simulate random sets and functions (scalar and multivariate). The introduced models concern many physical situations in heterogeneous media, where a probabilistic approach is required, like fracture statistics of materials, scaling up of permeability in porous media, electron microscopy images (including multispectral images), rough surfaces, multi-component composites, biological tissues, textures for image coding and synthesis. The common feature of these random structures is their domain of definition in n dimensions, requiring more general models than standard Stochastic Processes.The main topics of the book cover an introduction to the theory of random sets, random space tessellations, Boolean random sets and functions, space-time random sets and functions (Dead Leaves, Sequential Alternate models, Reaction-Diffusion), prediction of effective properties of random media, and probabilistic fracture theories.