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The elastic stress transfer from a ceramic matrix to aligned elliposidal inclusions is analyzed for the case where the axis of the applied load is parallel to the axis of the ellipsoid. Perfect bonding between the matrix and inclusions is assumed. The calculation is based on Eshelby's model for loading of an infinite matrix containing an ellipsoidal inclusion, and the modification developed by Mori and Tanaka to account for the effect of finite volume fractions of inclusions. The results show that the transfer of the axial stress from the matrix to inclusions increases with the increase in the aspect ratio of the ellipsoid, and decreases with the increase in the volume fraction of inclusions when Young's modulus of the inclusion is higher than that of the matrix.
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Chun‐Hway Hsueh (1989) studied this question.
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