On long-wave limiting velocities of guided waves in anisotropic plates

Abstract

The constructed closed form solutions for the long-wave limits for guided waves propagating in anisotropic crystals reveal a principal ability for existence of several long-wave limiting velocities exhibiting dependence on the wave normal. Numerical examples for guided waves propagating on the (1,0,0)-plane of several cubic crystals indicate existence of two distinct long-wave limiting velocities for all directions of the wave normal, except a possible discrete number of directions where two long-wave limiting velocities may coincide.

Keywords:

• Guided wave
• Lamb wave
• dispersion
• anisotropy
• limiting velocity

Acknowledgements

The author thanks the Russian Foundation for Basic Research, Grant 20-08-00419 for partial financial support.