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Author: Zvi Hashin Publisher: ISBN: Category : Languages : en Pages : 9
Book Description
The purpose of this research was to conduct investigations of mechanical and physical behavior of composite materials, heterogenous media, and anisotropic media. Static elastic and viscoelastic behavior of composites are discussed. Dynamic viscoelastic and thermo-elastic behaviors of the composites are also described. (P.S.-PL).
Author: Zvi Hashin Publisher: ISBN: Category : Languages : en Pages : 9
Book Description
The purpose of this research was to conduct investigations of mechanical and physical behavior of composite materials, heterogenous media, and anisotropic media. Static elastic and viscoelastic behavior of composites are discussed. Dynamic viscoelastic and thermo-elastic behaviors of the composites are also described. (P.S.-PL).
Author: Salvatore Torquato Publisher: Springer Science & Business Media ISBN: 1475763557 Category : Mathematics Languages : en Pages : 720
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.
Author: G.J. Weng Publisher: Springer Science & Business Media ISBN: 1461389194 Category : Science Languages : en Pages : 647
Book Description
Toshio Mura has written extensively on micromechanics over the years, and in part due to his writings and many others in the field, micromechanics has gradually emerged as a recognized discipline in the study of mechanics of materials. The idea is to bring both the mechanics and physics on the micro scopic level to the macroscopic scale, so that the deformation and fracture processes of materials can be better understood. While much apparently remains to be done, this approach has already shed new light on certain selected topics and has proved to be fruitful. It is indeed a happy occasion to celebrate both Toshio's upcoming 65th birthday and the emergence of this young science at the same time. The volume contains thirty-seven original articles on the related topics of micromechanics and inhomogeneity; it is presented to Toshio by his friends, colleagues, and admirers as a wish for his good health and continuing pro ductivity. The contributors belong to both the applied mechanics and the materials communities, all with a common belief that micromechanics is an indispensable area of research. It is hoped that this somewhat balanced structure will make the volume more useful to a wider range of readers, and that in the meantime it will still reflect more or less the spectrum of Toshio's lifelong works. As Editors we have at the outset set the highest possible standards for the book, with a keen anticipation that the volume will be widely circulated for many years to come.
Author: Werner E. Kohler Publisher: American Mathematical Soc. ISBN: 9780821896952 Category : Mathematics Languages : en Pages : 516
Book Description
In recent years, there has been remarkable growth in the mathematics of random media. The field has deep scientific and technological roots, as well as purely mathematical ones in the theory of stochastic processes. This collection of papers by leading researchers provides an overview of this rapidly developing field. The papers were presented at the 1989 AMS-SIAM Summer Seminar in Applied Mathematics, held at Virginia Polytechnic Institute and State University in Blacksburg, Virginia. In addition to new results on stochastic differential equations and Markov processes, fields whose elegant mathematical techniques are of continuing value in application areas, the conference was organized around four themes: Systems of interacting particles are normally viewed in connection with the fundamental problems of statistical mechanics, but have also been used to model diverse phenomena such as computer architectures and the spread of biological populations. Powerful mathematical techniques have been developed for their analysis, and a number of important systems are now well understood. Random perturbations of dynamical systems have also been used extensively as models in physics, chemistry, biology, and engineering. Among the recent unifying mathematical developments is the theory of large deviations, which enables the accurate calculation of the probabilities of rare events. For these problems, approaches based on effective but formal perturbation techniques parallel rigorous mathematical approaches from probability theory and partial differential equations. The book includes representative papers from forefront research of both types. Effective medium theory, otherwise known as the mathematical theory of homogenization, consists of techniques for predicting the macroscopic properties of materials from an understanding of their microstructures. For example, this theory is fundamental in the science of composites, where it is used for theoretical determination of electrical and mechanical properties. Furthermore, the inverse problem is potentially of great technological importance in the design of composite materials which have been optimized for some specific use. Mathematical theories of the propagation of waves in random media have been used to understand phenomena as diverse as the twinkling of stars, the corruption of data in geophysical exploration, and the quantum mechanics of disordered solids. Especially effective methods now exist for waves in randomly stratified, one-dimensional media. A unifying theme is the mathematical phenomenon of localization, which occurs when a wave propogating into a random medium is attenuated exponentially with propagation distance, with the attenuation caused solely by the mechanism of random multiple scattering. Because of the wide applicability of this field of research, this book would appeal to mathematicians, scientists, and engineers in a wide variety of areas, including probabilistic methods, the theory of disordered materials, systems of interacting particles, the design of materials, and dynamical systems driven by noise. In addition, graduate students and others will find this book useful as an overview of current research in random media.
Author: S. P. Neuman Publisher: Geological Society of America ISBN: 9780813723488 Category : Science Languages : en Pages : 260
Book Description
The refereed and edited proceedings of the symposium Schlomo P. Neuman: Recent Advances After 30 Years of Exceptional Contributions to Well Hydraulics, Numerical Modeling, and Field Investigations, which was held in Tucson, Arizona, in October 1998. Among the topics are four decades of inverse problems in hydrogeology, a connected-network paradigm for the alluvial aquifer system, the influence of multi-scale structure in non-ergodic solute transport in heterogeneous porous media, the Gaussian analysis of one-dimensional unsaturated flow in randomly heterogeneous soils, and the type-curve interpretation of transient single-hole pneumatic injection tests in unsaturated fractured tuffs at the Apache Leap Research Site. Annotation copyrighted by Book News Inc., Portland, OR
Author: Xi Frank Xu Publisher: CRC Press ISBN: 0429894376 Category : Science Languages : en Pages : 257
Book Description
This is the first book to introduce Green-function-based multiscale theory and the corresponding finite element method, which are readily applicable to composites and random media. The methodology is considered to be the one that most effectively tackles the uncertainty of stress propagation in complex heterogeneities of random media, and which presents multiscale theory from distinctive scale separation and scale-coupling viewpoints. Deliberately taking a multiscale perspective, it covers scale separation and then scale coupling. Both micromechanics and novel scale-coupling mechanics are described in relation to variational principles and bounds, as well as in the emerging topics on percolation and scale-coupling computation. It gives detail on the different bounds encountered, covering classical second and third order, new fourth order, and innovative ellipsoidal variations. Green-function-based multiscale theory is addressed to applications in solid mechanics and transport of complex media ranging from micro- and nano-composites, polycrystals, soils, rocks, cementitious materials, to biological materials. It is useful as a graduate textbook in civil and mechanical engineering and as a reference.
Author: Haruo Sato Publisher: Academic Press ISBN: 0080880339 Category : Science Languages : en Pages : 497
Book Description
Seismic waves generated by earthquakes have been interpreted to provide us information about the Earth’s structure across a variety of scales. For short periods of less than 1 second, the envelope of seismograms changes significantly with increased travel distance and coda waves are excited by scattering due to randomly distributed heterogeneities in the Earth. Deterministic structures such as horizontally uniform velocity layer models in traditional seismology cannot explain these phenomena. This book focuses on the Earth heterogeneity and scattering effects on seismic waves. Topics covered are recent developments in wave theory and observation including: coda wave analysis for mapping medium heterogeneity and monitoring temporal variation of physical properties, radiation of short-period seismic waves from an earthquake fault, weak localization of seismic waves, attenuation of seismic waves in randomly porous media, synthesis of seismic wave envelopes in short periods, and laboratory investigations of ultrasonic wave propagation in rock samples. Understanding new methods for the analysis of short-period seismic waves to characterize the random heterogeneity of the Earth on many scales Observations of seismic wave scattering Discussion of techniques for mapping medium heterogeneity and for monitoring temporal change in medium characteristics Up-to-date techniques for the synthesis of wave envelopes in random media
Author: Zvi Hashin
Author: Zvi Hashin
Author: Salvatore Torquato
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Author: 
Author: G.J. Weng
Author: Werner E. Kohler
Author: S. P. Neuman
Author: Xi Frank Xu
Author: Haruo Sato
Author: WU