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Heterogeneous Media

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Heterogeneous Media

Heterogeneous Media Book
Author : Sergey Kanaun
Publisher : Elsevier
Release : 2020-09-25
ISBN : 0128198818
Language : En, Es, Fr & De

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Book Description :

Heterogeneous Media: Local Fields, Effective Properties, and Wave Propagation outlines new computational methods for solving volume integral equation problems in heterogeneous media. The book starts by surveying the various numerical methods of analysis of static and dynamic fields in heterogeneous media, listing their strengths and weaknesses, before moving onto an introduction of static and dynamic green functions for homogeneous media. Volume and surface integral equations for fields in heterogenous media are discussed next, followed by an overview of explicit formulas for numerical calculations of volume and surface potentials. The book then segues into Gaussian functions for discretization of volume integral equations for fields in heterogenous media, static problems for a homogeneous host medium with heterogeneous inclusions, volume integral equations for scattering problems, and concludes with a chapter outlining solutions to homogenization problems and calculations of effective properties of heterogeneous media. The book concludes with multiple appendices that feature the texts of basic programs for solving volume integral equations as written in Mathematica. Outlines cutting-edge computational methods for solving volume integral equation problems in heterogeneous media Provides applied examples of approximation and other methods being employed Demonstrates calculation of composite material properties and the constitutive laws for averaged fields within them Covers static and dynamic 2D and 3D mechanical-mathematical models for heterogeneous media

Heterogeneous Media

Heterogeneous Media Book
Author : Konstantin Markov,Luigi Preziosi
Publisher : Springer Science & Business Media
Release : 2012-12-06
ISBN : 1461213320
Language : En, Es, Fr & De

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Book Description :

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

Random Heterogeneous Materials

Random Heterogeneous Materials Book
Author : Salvatore Torquato
Publisher : Springer Science & Business Media
Release : 2005-10-25
ISBN : 9780387951676
Language : En, Es, Fr & De

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Book Description :

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.

Theory of Mechanical Behavior of Heterogeneous Media

Theory of Mechanical Behavior of Heterogeneous Media Book
Author : Zvi Hashin,PENNSYLVANIA UNIV PHILADELPHIA TOWNE SCHOOL OF CIVIL AND MECHANICAL ENGINEERING.,University of Pennsylvania. Towne School of Civil and Mechanical Engineering,United States. Office of Naval Research
Publisher :
Release : 1963
ISBN :
Language : En, Es, Fr & De

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Book Description :

Theoretical methods and results are reviewed in the field of prediction of bulk mechanical properties of heterogeneous media, in terms of mechanical properties and geometry of consti tuents. The term heterogeneous medium is here understood as a mixture of discrete homogeneous phases which form regions that are large enough to be regarded as continua. The mechanical behavior of each phase is known in terms of stress-strain relations and at phase interfaces usual continuity conditions on stress vectors and displacements (or velocities) are specified. (Author).

Capillary Flows in Heterogeneous and Random Porous Media

Capillary Flows in Heterogeneous and Random Porous Media Book
Author : Rachid Ababou
Publisher : John Wiley & Sons
Release : 2018-11-26
ISBN : 111876210X
Language : En, Es, Fr & De

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Book Description :

Capillary phenomena occur in both natural and human-made systems, from equilibria in the presence of solids (grains, walls, metal wires) to multiphase flows in heterogeneous and fractured porous media. This book, composed of two volumes, develops fluid mechanics approaches for two immiscible fluids (water/air or water/oil) in the presence of solids (tubes, joints, grains, porous media). Their hydrodynamics are typically dominated by capillarity and viscous dissipation. This first volume presents the basic concepts and investigates two-phase equilibria, before analyzing two-phase hydrodynamics in discrete and/or statistical systems (tubular pores, planar joints). It then studies flows in heterogeneous and stratified porous media, such as soils and rocks, based on Darcy’s law. This analysis includes unsaturated flow (Richards equation) and two-phase flow (Muskat equations). Overall, the two volumes contain basic physical concepts, theoretical analyses, field investigations and statistical and numerical approaches to capillary-driven equilibria and flows in heterogeneous systems

Macroscale Models of Flow Through Highly Heterogeneous Porous Media

Macroscale Models of Flow Through Highly Heterogeneous Porous Media Book
Author : M. Panfilov
Publisher : Springer Science & Business Media
Release : 2000-02-29
ISBN : 9780792361763
Language : En, Es, Fr & De

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Book Description :

The The book book was was planned planned in in such such a a manner manner that that two two basic basic goals goals would would be be reached. reached. On On the the one one hand, hand, the the goal goal was was to to show show some some new new results results in in the the field field of of modeling modeling transport transport through through highly highly heterogeneous heterogeneous media, media, based based on on the the homogenization homogenization theory. theory. Multiple Multiple new new mathematical mathematical models models of of transport transport are are presented presented herein, herein, studying studying their their properties, properties, developing developing methods methods to to compute compute effective effective parameters parameters of of the the averaged averaged media, media, simulation simulation of of cell cell problems, problems, using using new new models models to to simulate simulate some some practical practical problems. problems. High High heterogeneity heterogeneity being being subjected subjected to to the the homogenization homogenization procedure, procedure, generates generates non-local non-local phenomena phenomena and and then then gives gives a a possibility possibility to to develop develop a a new, new, non-local non-local (or (or "dynamic"), "dynamic"), theory theory of of transport transport in in porous porous media. media.

Shock waves in condensed matter and heterogeneous media

Shock waves in condensed matter and heterogeneous media Book
Author : Raymond Brun,Lucien Z. Dumitrescu
Publisher : Springer Verlag
Release : 1995
ISBN : 9783540577126
Language : En, Es, Fr & De

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Book Description :

Recently, there have been significant advances in the fields of high-enthalpy hypersonic flows, high-temperature gas physics, and chemistry shock propagation in various media, industrial and medical applications of shock waves, and shock-tube technology. This series contains all the papers and lectures of the 19th International Symposium on Shock Waves held in Marseille in 1993. They are published in four topical volumes, each containing papers on related topics, and preceded by an overview wrtitten by a leading international expert. The volumes may be purchased independently.

Physical Mesomechanics of Heterogeneous Media and Computer aided Design of Materials

Physical Mesomechanics of Heterogeneous Media and Computer aided Design of Materials Book
Author : V. E. Panin
Publisher : Cambridge International Science Pub
Release : 1998
ISBN :
Language : En, Es, Fr & De

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Book Description :

The fundamentals of a new science - physical mesomechanics of heterogeneous media - are explained in the book. Mesomechanics is developed at the boundary between the mechanics of continuum and the physics of plasticity and strength of solids and examines the stressed material as a multilevel system in which micro-, meso- and macro levels are organically linked. Mesomechanics is the basis of the computer-aided design of materials with required properties. Examples of application of the new approach to developing constructional and other types of materials are described. The book will be of considerable interest to experts in the area of mechanics and physics of plasticity and strength of materials and physical and applied materials science.