Phan Haidang, Cho Younho, Le Quang Hung, Pham Chi Vinh, Nguyen Hoai T-L, Nguyen Phuong Thuy, Bui Tinh Quoc
Institute of Theoretical and Applied Research, Duy Tan University, 1 Phung Chi Kien, Hanoi 100000, Viet Nam.
School of Mechanical Engineering, Pusan National University, Pusan, South Korea.
Ultrasonics. 2019 Jul;96:40-47. doi: 10.1016/j.ultras.2019.03.015. Epub 2019 Mar 22.
This article is concerned with the application of reciprocity in computing guided wave motions generated by a time-harmonic load in a layer of uniform thickness joined to a half-space. Explicit expressions for free Rayleigh waves and Love waves propagating in the layered half-space are introduced. Exact solutions of Rayleigh waves and Love waves are derived from reciprocity relations between an actual state - guided waves generated by a time-harmonic line load and a virtual state - an appropriately chosen free wave traveling in the structure. Scattered amplitudes of the wave motions are thus determined. The validation of the reciprocity approach is shown through the computation of the lowest Rayleigh wave mode in the layered half-space, which approaches the calculation of the Rayleigh surface wave in the half-space once the layer thickness approaches zero in the limit.
