Study of Surface Waves Transmission in Orthotropic Bilateral Structure
Analytical mathematical modeling; Corrugation; Initial stress; Orthotropic material; Rayleigh elastic waves
This research work depicts the study of transmission of surface Rayleigh elastic waves in orthotropic layer having corrugated boundary resting over a pre-stressed orthotropic substrate. As a result, this study is made to spot the Rayleigh elastic wave transference under the consequence of initial stress in orthotropic material medium. Consequence of corrugation parameter, layer width parameter, initial stress parameter and density parameter on Rayleigh elastic wave propagation are marked separately. Distinguished parametric graphs are drawn following numerically the analytical study to exhibit the influence of distinct considered parameters on Rayleigh wave phase velocity of propagation. Frequency equations are obtained in closed determinant form under certain boundary conditions. Some particular cases have been deduced. Parametric results on the phase velocities yield a significant conclusion of which some are: (a) The corrugation parameter affects the more on phase velocity in comparison to initial stress (b) The orthotropic height stiffening can monotonically decrease the speed of phase. The present models may be applicable in engineering composites and for seismologist. 2023, The Author(s), under exclusive licence to Springer Nature India Private Limited.
Singhal A.; Sahu S.A.; Chaudhary S.; Nirwal S.
International Journal of Applied and Computational Mathematics, Vol-9, No. 4
Singhal A., Christ (Deemed to be University) Delhi NCR, Uttar Pradesh, Ghaziabad, 201003, India; Sahu S.A., Indian Institute of Technology (Indian School of Mines), Jharkhand, Dhanbad, 826004, India; Chaudhary S., Madanapalle Institute of Technology and Science, Andhra Pradesh, Madanapalle, 517325, India; Nirwal S., Indian Institute of Technology (Indian School of Mines), Jharkhand, Dhanbad, 826004, India