Abstract
Within the context of linear theory of elasticity, it is shown that for any arbitrary anisotropic material, having as many as 21 independent elastic constants, one can compute lower-bound and upper-bound isotropic moduli that consistently yield lower and higher eigenvalues, respectively, than those of the anisotropic material. Computations are carried out for a variety of common cubic, hexagonal, tetragonal, trigonal, and orthorhombic crystalline materials.
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