This paper describes the elastic compliance matrix and Young’s modulus of directionally solidified (DS) plates which are composed of five columnar grains. Threedimensional finite element method analyses (FEM), taking account of the anisotropy of a crystal, were made to determine the elastic compliance matrix of the DS plate. The elastic compliance matrix calculated in the FEM analysis was reduced to an orthotropic matrix after giving an appropriate rotation of coordinates. The elastic compliance matrix calculated by Reuss and Voigt averages were compared with the FEM results. The two averages precisely estimated the FEM results but the Reuss model had a better accuracy. The Young’s modulus in any direction was discussed in both the coaxis and non-coaxis models.

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