Explicit Models for Flexural Edge and Interfacial Waves in Thin Isotropic Plates

Exact solutions for problems of vibrations of isotropic thin elastic plates are presented in the work. Some basic principles of explicit dual parabolic-elliptic models for flexural edge and interfacial waves propagation are revealed. The obtained explicit models extract the contribution of the flexural wave into the full dynamic response. Also, these models reveal a dual parabolic-elliptic nature of the flexural edge and interfacial waves.