Wave propagation in heterogeneous materials
著者
書誌事項
Wave propagation in heterogeneous materials
(Solid mechanics and its applications, v. 150 . Self-consistent methods for composites ; v. 2)
Springer, c2008
大学図書館所蔵 全2件
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
- 1. Introduction
- Self-consistent methods for scalar waves in composites
- 2.1 Integral equations for scalar waves in a medium with isolated inclusions
- 2.2 The effective field method
- 2.3 The effective medium method
- 2.3.1 Version I of the EMM
- 2.3.2 Version I1 of the EMM
- 2.3.3 Version I11 and nT of the EMM
- 2.4 Notes
- Electromagnetic waves in composites and polycrystals
- 3.1 Integral equations for electromagnetic waves
- 3.2 Version I of EMM for matrix composites
- 3.3 One-particle EMM problems for spherical inclusions
- 3.4 Asymptotic solutions of the EMM dispersion equation
- 3.5 Numerical solution of the EMM dispersion equation
- 3.6 Versions I1 and I11 of the EMM
- 3.7 The effective field method
- 3.8 One-particle EFM problems for spherical inclusions
- 3.9 Asymptotic solutions of the EFM dispersion equation
- 3.9.1 Long-wave asymptotics
- 3.9.2 Short-wave asymptotics
- 3.10 Numerical solution
- 3.11 Comparison of version I of the EMM and the EFM
- 3.12 Versions I, 11, and I11 of EMM
- 3.13 Approximate solutions of one-particle problems
- 3.13.1 Variational formulation of the diffraction problem for an isolated inclusion
- 3.13.2 Plane wave approximation
- 3.14 The EFM for composites with regular lattices of spherical inclusions
- 3.15 Versions I and IV of EMM for polycrystals and granular materials
- 3.16 Conclusion
- 3.17 Notes
- 4. Axial elastic shear waves in fiber reinforced composites
- 4.1 Integral equations of the problem
- 4.2 The effective medium method
- 4.3 The effective field method
- 4.3.1 Integral equations for the local exciting fields
- 4.3.2 The hypotheses of the EFM
- 4.3.3 The dispersion equation of the EFM
- 4.4 One-particle problems of EMM and EFM
- 4.4.1 The one-particle problem of the EMM
- 4.4.2 The one-particle problem of the EFM
- 4.4.3 The scattering cross-section of a cylindrical fiber
- 4.4.4 Approximate solution of the one-particle problem in the long-wave region
- 4.5 Solutions of the dispersion equations in the long-wave region
- 4.5.1 Long-wave asymptotic solution for EMM
- 4.5.2 Long-wave asymptotic solution for EFM
- 4.6 Short-wave asymptotics
- 4.7 Numerical solutions of the dispersion equations
- 4.8 Composites with regular lattices of cylindrical fibers
- 4.9 Conclusion
- 4.10 Notes
- 5. Diffraction of long elastic waves by an isolated inclusion in a homogeneous medium
- 5.1 The dynamic Green tensor for a homogeneous anisotropic medium
- 5.2 Integral equations for elastic wave diffraction by an isolated inclusion
- 5.3 Diffraction of long elastic waves by an isolated inclusion
- 5.4 Diffraction of long elastic waves by a thin inclusion
- 5.4.1 Thin soft inclusion
- 5.4.2 Thin hard inclusion
- 5.5 Diffraction of long elastic waves by a short axisymmetric fiber
- 5.6 Total scattering cross-sections of inclusions
- 5.6.1 An isolated inclusion
- 5.6.2 Long range scattering cross-sections
- 5.7 Notes
- 6. Effective wave operator for a medium with random isolated inclusions
- 6.1 Diffraction of elastic waves by a random set of ellipsoidal inclusions
- 6.2 The Green function of the effective wave operator
- 6.3 Velocities and attenuations of long elastic waves in matrix composites
- 6.4 Long elastic waves in composites with random thin inclusions
- 6.4.1 Isotropic elastic medium with random crack-like inclusions
- 6.4.2 Isotropic elastic medium with a random set of hard disks
- 6.5 Long elastic waves in composites with short hard fibers
- 6.5.1 Random sets of fibers homogeneously distributed over orientations
- 6.5.2 Random set of fibers of the same orientation
- 6.6 Notes
- 7. Elastic waves in a medium with spherical inclusions
- 7.1 Version I of the EMM for elastic waves
- 7.2 The one-particle problems of EMM
- 7.2.1 Diffraction of a plane monochromatic wave by an isolated spherical inclusion
- 7.2.2 An approximate solution of the one-particle problems in the long-wave region
- 7.3 The dispersion equations of the EMM
- 7.3.1 The EMM dispersion equation for longitudinal waves
- 7.3.2 The EMM dispersion equation for transverse waves
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