Micromechanics of Composite Materials

摘要: 1 Tensor component and matrix notation.- 2 Anisotropic elastic solids.- 2.1 Elastic strain energy density.- 2.2 Material symmetries.- 2.3 Transversely isotropic composite materials.- 2.4 Cylindrically orthotropic 2.5 Young's modulus, shear modulus Poisson's ratio.- 3 Elementary concepts tools.- 3.1 Aggregates constituent phases.- 3.2 Herogeneous microstructures.- 3.3 Representative volume.- 3.4 Local overall stress fields.- 3.5 Overall properties local 3.6 Transformation 3.7 Work, reciprocal theorems.- 3.8 The Levin formula the Hill lemma.- 3.9 Universal connections for moduli of fibrous composites.- 3.10 Constitutive relations fields in heterogeneous aggregates.- 4 Inclusions, inhomogeneities cavities.- 4.1 Homogeneous ellipsoidal inclusions: Eshelby solution.- 4.2 Ellipsoidal inhomogeneities: equivalent inclusion method.- 4.3 Transformed inhomogeneities.- 4.4 Dilute approximation properties.- 4.5 Green's function Eshelby's tensor 4.6 Coefficients P tensors selected shapes.- 4.7 Summary principal results.- 5 Energies inhomogeneities, dilute reinforcements cracks.- 5.1 Energy changes caused by mechanical loads.- 5.2 uniform phase eigenstrains.- 5.3 loads 5.4 stiffness 6 Evaluations bounds on 6.1 bounds.- 6.2 Hashin-Shtrikman Walpole moduli.- 6.3 Evaluation H-S 6.4. Composite element assemblage 6.5 generalized self-consistent 7 Estimates 7.1 method (SCM).- 7.2 Mori-Tanaka (M-T).- 7.3 differential scheme.- 7.4 double inhomogeneity models.- 7.5 Applications SCM M-T to functionally graded 8 8.1 Uniform change temperature two-phase composites polycrystals.- 8.2 influence functions concentration factors.- 8.3 multiphase systems.- 8.4 Capabilities estimates 9 Interfaces interphases.- 9.1 Perfectly bonded interfaces.- 9.2 Imperfectly 10 Symmetric laminates.- 10.1 plies.- 10.2 Coordinate systems transformations.- 10.3 response ply stresses symmetric 10.4 Ply averages .- 10.5 Design laminates cylindrical pressure vessels.- 10.6 Dimensionally stable 10.7 Auxetic 10.8 Laminates with reduced free edge stresses.- 11 Elastic-plastic 11.1 Yield loading surfaces, normality convex.- 11.2 Hardening flow rules.- 11.3 Matrix form consistency instantaneous tangent stiffness.- 12 Inelastic 12.1 field analysis (TFA) inelastic deformation.- 12.2 Experimental support theoretical predictions.- 12.3 Thermal hardening.- References.