Explicit expressions of S(v), H(v) and L(v) for anisotropic elastic materials

The three matrices L(v), S(v) and H(v), appearing frequently in the investigations of the two-dimensional steady state motions of elastic solids, are expressed explicitly in terms of the elastic stiffness for general anisotropic materials. The special cases of monoclinic materials with a plane of symmetry at x3 = 0, x1 = 0, and x2 = 0 are all deduced. Results for orthotropic materials appearing in the literature may be recovered from the present explicit expressions.