Abstract
Surface waves in anisotropic elastic media can be described by the linear combination of eigenvectors of the Stroh fundamental matrix N . The matrix N can admit two types of degeneracies: semisimple and nonsemisimple. The present study is to show that in the transversely isotropic media the degeneracies can span a two-dimensional space for either type of the degeneracies. Relationship between the spaces of degeneracy and the surface waves is discussed and analytical results for the surface wave solutions admitting generalized eigenvectors is presented with examples for the β-configuration in the transversely isotropic elastic media.
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