Random Media and Composites PDF Download

Author: Robert V. Kohn
Publisher: SIAM
ISBN: 9780898712469
Category : Technology & Engineering
Languages : en
Pages : 236

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Book Description

Author: Xi Frank Xu
Publisher: CRC Press
ISBN: 0429894376
Category : Science
Languages : en
Pages : 257

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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: Vladimir M. Shalaev
Publisher: Springer Science & Business Media
ISBN: 9783540656159
Category : Science
Languages : en
Pages : 184

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Book Description
Nonlinear Optics of Random Media reviews recent advances in in one of the most prominent fields of physics. It provides an outline of the basic models of irregular structures of random inhomogeneous media and the approaches used to describe their linear electromagnetic properties. Nonlinearities in random media are also discussed. The chapters can be read independently, so scientists and students interested in a specific problem can go directly to the relevant text.

Author: Alen Alexanderian
Publisher:
ISBN:
Category :
Languages : en
Pages : 264

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Book Description

Author: Piotr Drygaś
Publisher: Woodhead Publishing
ISBN: 008102732X
Category : Computers
Languages : en
Pages : 374

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Book Description
Applied Analysis of Composite Media: Analytical and Computational Approaches presents formulas and techniques that can used to study 2D and 3D problems in composites and random porous media. The main strength of this book is its broad range of applications that illustrate how these techniques can be applied to investigate elasticity, viscous flow and bacterial motion in composite materials. In addition to paying attention to constructive computations, the authors have also included information on codes via a designated webpage. This book will be extremely useful for postgraduate students, academic researchers, mathematicians and industry professionals who are working in structured media. Provides a uniform, computational methodology that can be applied to the main classes of transport and elastic problems by using a combination of exact formulae, advanced simulations and asymptotic methods Includes critical phenomena in transport and elastic problems for composites and porous media Applies computational methodology to biological structures Presents computer protocols/algorithms that can be used for materials design

Author: John Daniel Beasley
Publisher:
ISBN:
Category :
Languages : en
Pages : 510

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Book Description

Author: Xi Frank Xu
Publisher: CRC Press
ISBN: 0429894384
Category : Science
Languages : en
Pages : 306

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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: Phaedon-Stelios Koutsourelakis
Publisher:
ISBN:
Category :
Languages : en
Pages : 340

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Book Description

Author: Zvi Hashin
Publisher:
ISBN:
Category :
Languages : en
Pages : 9

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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: John J. McCoy
Publisher:
ISBN:
Category :
Languages : en
Pages : 10

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Book Description
A brief review is provided of research to incorporate more detailed information of substructure geometry, when compared to volume fraction information, in bounds on the effective property measures of composite materials. In addition, the need for a coherence function formulation of stress waves in randomly heterogeneous materials are discussed and some steps are taken toward developing this formulation.