2007, ISBN: 9781402069680

Vol.2: Wave Propagation in Heterogeneous Materials This second volume of this book is devoted to the problem of wave propagation in heterogeneous materials. Self-consistent methods are - … Plus…

Vol.2: Wave Propagation in Heterogeneous Materials This second volume of this book is devoted to the problem of wave propagation in heterogeneous materials. Self-consistent methods are - veloped for the analysis of various modes of wave propagation in composite materials and polycrystals. Velocities and attenuation coe cients are c- culated of electromagnetic and elastic monochromatic waves propagating in matrix composite materials with random and regular microstructures, and in polycrystals. Predictions of the methods are compared with expreimental data and with exact solutions available in the literature. The volume contains few references to the rst volume of the book, and may be read independently. We thank Dr. Eugeny Pervago for help in calculations, and deeply appreciate the corrections and suggestions made by the Series Editor, Professor Graham Gladwell, in the revision of the manuscript. The - thors thank the Technological Institute of Higher Education of Monterrey (State of Mexico Campus), and Mexican Oil Institute, for supporting this book. Mexico, S.K. Kanaun August 2007 V.M. Levin Notations , ,C ,C ,.... Lower case Greek or Latin indices ij ijkl µ are tensorial = C Summation with respect to repeating ij ijkl kl indices is implied. 1 T = (T +T ) Parentheses in indices mean symmetrization. (ij)kl ijkl jikl 2 a,b,T or a,b,T,... Non-index notations for vectors and tensors. x,x Point and vector of a point in 3D(2D)-space. (a b a b ) Tensor product of vectors and tensors. i j a·b (a·b =a b ) Scalar product of vectors and tensors. Self-Consistent Methods for Composites: This second volume of this book is devoted to the problem of wave propagation in heterogeneous materials. Self-consistent methods are - veloped for the analysis of various modes of wave propagation in composite materials and polycrystals. Velocities and attenuation coe cients are c- culated of electromagnetic and elastic monochromatic waves propagating in matrix composite materials with random and regular microstructures, and in polycrystals. Predictions of the methods are compared with expreimental data and with exact solutions available in the literature. The volume contains few references to the rst volume of the book, and may be read independently. We thank Dr. Eugeny Pervago for help in calculations, and deeply appreciate the corrections and suggestions made by the Series Editor, Professor Graham Gladwell, in the revision of the manuscript. The - thors thank the Technological Institute of Higher Education of Monterrey (State of Mexico Campus), and Mexican Oil Institute, for supporting this book. Mexico, S.K. Kanaun August 2007 V.M. Levin Notations , ,C ,C ,.... Lower case Greek or Latin indices ij ijkl µ are tensorial = C Summation with respect to repeating ij ijkl kl indices is implied. 1 T = (T +T ) Parentheses in indices mean symmetrization. (ij)kl ijkl jikl 2 a,b,T or a,b,T,... Non-index notations for vectors and tensors. x,x Point and vector of a point in 3D(2D)-space. (a b a b ) Tensor product of vectors and tensors. i j a·b (a·b =a b ) Scalar product of vectors and tensors. Phase Wave composite material composite materials concrete crystal diffraction effective properties elastic waves electromagnetic wave electromagnetic waves granular material heterogeneous materials self-consistent methods C Optics and Elec, Springer Netherland<

2008, ISBN: 9781402069680

The book is dedicated to the application of self-consistent methods to the solution of static and dynamic problems of the mechanics and physics of composite materials. The effective elast… Plus…

The book is dedicated to the application of self-consistent methods to the solution of static and dynamic problems of the mechanics and physics of composite materials. The effective elastic, electric, dielectric, thermo-conductive and other properties of composite materials reinforced by ellipsoidal, spherical multi-layered inclusions, thin hard and soft inclusions, short fibers and unidirected multi-layered fibers are considered. Explicit formulas and efficient computational algorithms for the calculation of the effective properties of the composites are presented and analyzed. The method of the effective medium and the method of the effective field are developed for the calculation of the phase velocities and attenuation of the mean (coherent) wave fields propagating in the composites. The predictions of the methods are compared with experimental data and exact solutions for the composites with periodical microstructures. The book may be useful for material engineers creating new composite materials and scholars who work on the theory of composite and non-homogeneous media. TOC:From the contents 1. Introduction. Self-consistent methods for scalar waves in composites. 2.1 Integral equations for scalar waves in a medium with isolated inclusions. 3.1 Integral equations for electromagnetic waves. 4. Axial elastic shear waves in fiber reinforced composites. 5. Diffraction of long elastic waves by an isolated inclusion in a homogeneous medium. 6. Effective wave operator for a medium with random isolated inclusions. 7. Elastic waves in a medium with spherical inclusions. A. Special tensor bases of four rank tensors. A.l E-basis. A.2 P-basis. A.3 Averaging the elements of the E and P-bases. A.4 Tensor bases of four-rank tensors in 2D-space. B . The Percus-Yevick correlation function. References. eBook S.  K. Kanaun#V.  M. Levin PDF, Springer, 20.05.2008, Springer, 2008<

2008, ISBN: 9781402069680

This unique book is dedicated to the application of self-consistent methods to the solution of static and dynamic problems of the mechanics and physics of composite materials. The effecti… Plus…

This unique book is dedicated to the application of self-consistent methods to the solution of static and dynamic problems of the mechanics and physics of composite materials. The effective elastic, electric, dielectric, thermo-conductive and other properties of composite materials reinforced by ellipsoidal, spherical multi-layered inclusions, thin hard and soft inclusions, short fibers and unidirected multi-layered fibers are considered. The book contains many concrete results. The book is dedicated to the application of self-consistent methods to the solution of static and dynamic problems of the mechanics and physics of composite materials. The effective elastic, electric, dielectric, thermo-conductive and other properties of composite materials reinforced by ellipsoidal, spherical multi-layered inclusions, thin hard and soft inclusions, short fibers and unidirected multi-layered fibers are considered. Explicit formulas and efficient computational algorithms for the eBook PDF 20.05.2008 eBooks>Fremdsprachige eBooks>Englische eBooks>Sach- & Fachthemen, Springer Netherlands, .200<

ISBN: 9781402069680

Materials Science; Materials Science, general; Continuum Mechanics and Mechanics of Materials; Structural Materials; Ceramics, Glass, Composites, Natural Materials; Characterization and E… Plus…

Materials Science; Materials Science, general; Continuum Mechanics and Mechanics of Materials; Structural Materials; Ceramics, Glass, Composites, Natural Materials; Characterization and Evaluation of Materials; Classical Electrodynamics Phase, Wave, composite material, composite materials, concrete, crystal, diffraction, effective properties, elastic waves, electromagnetic wave, electromagnetic waves, granular material, heterogeneous materials, self-consistent methods Books eBook, Springer Nature<

2008, ISBN: 9781402069680

Vol.2: Wave Propagation in Heterogeneous Materials, [ED: 1], Auflage, eBook Download (PDF), eBooks, [PU: Springer-Verlag]