Self-Consistent Methods for Composites

This second edition explores wave propagation in heterogeneous materials, focusing on electromagnetic and elastic waves in matrix composites and polycrystals under time-harmonic fields. Employing self-consistent methods, the book evaluates phase velocities and attenuation factors, comparing theoretical predictions with experimental data and simulations. Reflecting the shift in analytical practices due to advanced computational tools like Mathematica and MATLAB, this edition emphasizes detailed calculation algorithms over complex final formulas. Notable revisions include expanded coverage of scalar wave homogenization methods, streamlined chapters on wave propagation, and an appendix featuring specialized tensor computation codes.

Includes specialized computational codes for fourth-rank tensor operations Focuses on detailed analytical algorithms aligned with modern computational tools Offers deep insights into phase velocities and wave attenuation in composites

Inhalt

Introduction.- Scalar waves in heterogeneous media.- Self-consistent methods for solution of the homogenization problem in the case of scalar waves.- Propagation of electromagnetic waves in matrix composites and polycrystals.- Propagation of axial elastic shear waves in fiber reinforced composites.- Diffraction of long elastic waves on isolated inclusions.- Effective wave operator for the medium with a random set of isolated inclusions.- Propagation of elastic waves in the medium with spherical inclusions The effective medium method.- Propagation of elastic waves in the medium with spherical inclusions The effective field method.- Propagation of elastic waves through polycrystalline materials.