OFR-55-76 Spatial Graphs Of Anisotropic Elastic Properties For The Various Symmetry Systems

The patterns of variation of the 21 anisotropic elastic constants with direction arc presented for all of the symmetry systems that are normally expected to occur in rocks and in the constituent minerals. The exception, which is not discussed, is the triclinic system for which no elastic constants are available. Variations are shown for rotations about the principal axes by means of polar graphs. These include graphs for all of the n-fold symmetry axes possible for elastic symmetry and thus make it possible to visualize variational patterns for rotations about any n-fold axis. Variations throughout space are shown by means of equal area projections for the only constants (those relating axial stress to axial strain) that are uniquely defined by a single closed surface. For those unfamiliar with the compliance (Sij) and stiffness (cij) coefficients, the variations that can be shown by Young's modulus (E), Poisson's ratio (v), and shear modulus (G) are also given.