On Determination of Wave Velocities through the Eigenvalues of Material Objects

The statement of the eigenvalue problem for a tensor&#8211;block matrix of any order and of any<br />even rank is formulated. It is known that the eigenvalues of the tensor and the tensor&#8211;block matrix<br />are invariant quantities. Therefore, in this work, our goal is to find the expression for the velocities of<br />wave propagation of some medias through the eigenvalues of the material objects. In particular, we<br />consider the classical and micropolar materials with the different anisotropy symbols and for them<br />we determine the expressions for the velocities of wave propagation through the eigenvalues of the<br />material objects.

Abstract licence: CC BY

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