Mori T, Tanaka K. Average stress in matrix and average elastic energy of materials with misfitting inclusions[J]. Acta Metall, 1973, 21: 571-574.
[2]
Norris A N. A differential scheme for the effective moduli composites[J]. Mechanics of Materials, 1985, 4: 1-16.
[3]
Ponte Castaneda P, Willis J R. The effect of spatial distribution on the effective behavior of composite materials and cracked media[J]. J Mech Phys Solids, 1995, 43: 1919-1951.
[4]
Jiang C P, Tong Z H, Cheung Y K. A generalized self-consistent method accounting for fiber section shape[J]. Int Journal of Solids and Structures, 200３, ４０:２５８９－２６０９.
[5]
Hashin Z, Shtrikman S. On some variational principles in anisotropic and nonhomogeneous elasticity[J]. J Mech Phys Solids, 1962, 10: 355-342.
[6]
Tandon G P, Weng G J. Average stress in the matrix and effective moduli of randomly oriented composites[J]. Composite Science and Technology, 1986, 27: 111-132.
[7]
Schjodt-Thomsen J, Pryz R. The Mori-Tanaka stiffness tensor: diagonal symmetry, complex fiber orientations and non-dilute volume fractions[J]. Mechanics of Materials, 2001,33: 531-544.
Kuster G T, Toksoz M N. Velocity and attenuation of seismic waves in two-phase media I: Theoretical formulation[J]. Geophysics, 1974, 39: 587-606.
[10]
Hori M, Nemat-Nasser S. Double-inclusion model and overall moduli of multiphase composites[J]. Mech Mater, 1993, 14: 189-206.
[11]
Zheng Q S, Du DX. An explicit and universally applicable estimate for the effective properties of multiphase composites which accounts for the inclusion distribution[J]. J Mech Phys Solids, 2001, 49: 2765-2788.
[12]
Hill R. A self-consistent mechanics of composite material[J]. J Mech Phys Solids, 1965,13: 213-222.
[13]
Christensen R M, Lo K H. Solution for effective shear properties in three phases sphere and cylinder model[J]. J Mech Phys Solids, 1979, 11: 127-140.
Hu G K, Weng G J. The connections between the double-inclusion model and the Ponte Castaneda-Wills, Mori-Tanaka, and Kuster-Toksoz models[J]. Mechanics of Materials, 2000, 32: 495-503.
[16]
Hu G K, Weng G J. Some reflections on the Mori-Tanaka and Ponte Castaneda-Willis methods with randomly oriented ellipsoidal inclusions[J]. Acta Mechanica, 2000, 140: 31-40.
