Mathematical inequalities, analogous to Mohr Circle diagram in the theory of elasticity are obtained to describe the necessary conditions for the consistency of constituents and composite elastic properties, so as to have a further view of the work considered in the literature. A bound on elastic energies of the n-phase composite body is obtained in terms of the minimum and maximum value of the strains on the constituents of the n-phase composite body. The composite body is assumed to possess the properties as described the literature.
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