Self-consistent methods for composites v. 2 Wave propagation in heterogeneous materials

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, sphericalmany layered inclusions, thin hard and soft inclusions, short fibers and unidirected many 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 first in the world literature systematic development of self-consistent schemes (the effective medium and effective field methods) and their different versions in application to the problems of the mechanics and physics of heterogeneous materials. Contains many concrete results: explicit formulas for the effective properties of composite materials of various micro structures INDICE: 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 wavesin 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.

• ISBN: 978-1-4020-6967-3
• Editorial: Springer
• Encuadernacion: Cartoné
• Páginas: 310
• Fecha Publicación: 01/01/2008
• Nº Volúmenes: 1
• Idioma: Inglés