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The weak point of the generalized self-consistent method(GSCM)is that its solution forthe effective shear moduli involves determining the complicated displacement and strain fields in con-stituents.Furthermore,the effective moduli estimated by GSCM cannot be expressed in an explicitform.Instead of following the procedure of GSCM,in this paper a generalized self-consistent Mori-Tanaka method(GSCMTM)is developed by means of Hill’s interface condition and the assumptionthat the strain in the inclusion is uniform.A comparison with the existing theoretical and experimentalresults shows that the present GSCMTM is sufficiently accurate to predict the effective moduli of thecoated inclusion-based composite materials.Moreover,it is interesting to find that the application ofHill’s interface condition in volumetric domain is equivalent to the Mori-Tanaka average field approxi-mation.
The weak point of the generalized self-consistent method (GSCM) is that that its solution forthe effective shear moduli involves determining the complicated displacement and strain fields in con-stituents. Future, the effective moduli estimated by GSCM can not be expressed in an explicit form. Instead of the following the procedure of GSCM, in this paper a generalized self-consistent Mori-Tanaka method (GSCM ™) is developed by means of Hill’s interface condition and the assumption that the strain in the inclusion is uniform. A comparison with the existing theoretical and experimental results shows that the present GSCM ™ is provided accurate to predict the effective moduli of the coated inclusion-based composite materials. Moreover, it is interesting to find that the application of Hill’s interface condition in volumetric domain is equivalent to the Mori-Tanaka average field approxi- mation.