Summary
The occurrence of directions along which purely longitudinal waves (specific directions) or purely transverse waves (specific axes) are polarized is investigated in dispersive piezoelectric solids. A connection between such directions and the material symmetry of the medium is established within the framework of inhomogeneous plane waves which properly account for dissipation. Crystal classes which allow for both specific directions and specific axes are then identified. Solutions to the eigenvalue problem of wave propagation are derived in order to extend previous results on elastic and viscoelastic solids.
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References
Borgnis, F. E.: Specific directions of longitudinal wave propagation in anisotropic media. Phys. Rev.98, 1000–1005 (1955).
Cowin, S. C.: Properties of the anisotropic elasticity tensor. Q. J. Mech. Appl. Math.42, 249–266 (1989).
Fedorov, F. I., Fedorov, A. F.: On the structure of the Green-Christoffel tensor. J. Phys. A. Math. Gen.24, 71–78 (1991).
Romeo, M.: Specific directions in viscoelastic crystals. Q. J. Mech. Appl. Math.48, 77–87 (1995).
Caviglia, G., Morro, A.: Inhomogeneous waves in solids and fluids. Singapore: World Scientific 1992.
Chandrasekharaiah, D. S.: A generalized linear thermoelasticity theory for piezoelectric media. Acta Mech.71, 39–49 (1988).
Fabrizio, M., Morro, A.: Viscoelastic relaxation functions compatible with thermodynamics. J. Elasticity19, 63–75 (1988).
Sirotin, Yu. I., Shas'kolskaya, M. P.: Fundamentals of crystal physics. Moscow: Mir 1982.
Maugin, G. A.: Nonlinear electromechanical effects and applications. Singapore: World Scientific 1985.
Mehrabadi, M. M., Cowin, S. C.: Eigentensors of linear anisotropic elastic materials. Q. J. Mech. Appl. Math.43, 15–41 (1990).
Musgrave, M. J. P.: Crystal acoustics. London: Holden-Day 1970.
Hayes, M.: Inhomogeneous plane waves. Arch. Rat. Mech. Anal.85, 41–79 (1984).
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Romeo, M. Material symmetries and inhomogeneous waves in piezoelectric media. Acta Mechanica 118, 27–37 (1996). https://doi.org/10.1007/BF01410505
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DOI: https://doi.org/10.1007/BF01410505