Kanaun, S: Self-Consistent Methods for Composites

1. Introduction2. An elastic medium with sources of external and internal stresses 2.1 Medium with sources of external stresses 2.2 Medium with sources of internal stresses2.3 Discontinuities of elastic fields in a medium with sources of external and internal stresses 2.4 Elastic fields far from the sources 2.5 Notes 3. Equilibrium of a homogeneous elastic medium with an isolated inclusion 3.1 Integral equations for a medium with an isolated inhomogeneity 3.2 Conditions on the interface between two media3.3 Ellipsoidal inhomogeneity3.4 Ellipsoidal inhomogeneity in a constant external field 3.5 Inclusion in the form of a plane layer 3.6 Spheroidal inclusion in a transversely isotropic medium 3.7 Crack in an elastic medium3.8 Elliptical crack 3.9 Radially heterogeneous inclusion 3.9.1 Elastic fields in a medium with a radially heterogeneous inclusion 3.9.2 Thermoelastic problem for a medium with a radially heterogeneous inclusion 3.10 Multi-layered spherical inclusion 3.11 Axially symmetric inhomogeneity in an elastic medium 3.12 Multi-layered cylindrical inclusion 3.13 Notes 4. Thin inclusion in a homogeneous elastic medium 4.1 External expansions of elastic fields 4.2 Properties of potentials (4.4) and (4.5) 4.3 External limit problems for a thin inclusion 4.3.1 Thin soft inclusion 4.3.2 Thin hard inclusion 4.4 Internal limiting problems and the matching procedure 4.5 Singular models of thin inclusions 4.6 Thin ellipsoidal inclusions 4.7 Notes 5. Hard fiber in a homogeneous elastic medium 5.1 External and internal limiting solutions 5.2 Principal terms of the stress field inside a hard fiber 5.3 Stress fields inside fibers of various forms 5.3.1 Cylindrical fiber 5.3.2 Prolate ellipsoidal fiber 5.3.3 Fiber in the form of a double cone 5.4 Curvilinear fiber 5.5 Notes 6. Thermal and electric fields in a medium with an isolated inclusion 6.1 Fields with scalar potentials in a homogeneous medium with an isolated inclusion6.2 Ellipsoidal inhomogeneity6.2.1 Constant