Numerical modelling of SH-wave propagation in initially-stressed multilayered composite structures: A casewise study
ISSN: 0264-4401
Article publication date: 20 December 2018
Issue publication date: 8 February 2019
Abstract
Purpose
The purpose of this paper is to develop a numerical (finite-difference) model exploring phase and group velocities of SH-wave propagation in initially stressed transversely isotropic poroelastic multi-layered composite structures and initially stressed viscoelastic-dry-sandy multi-layered composite structures in two distinct cases.
Design/methodology/approach
With the aid of relevant constitutive relations, the non-vanishing equations of motions for the propagation SH-wave in the considered composite structures have been derived. Haskell matrix method and finite-difference scheme are adopted to deduce velocity equation for both the cases. Stability analysis for the adopted finite-difference scheme has been carried out and the expressions for phase as well as group velocity in terms of dispersion-parameter and stability-ratio have been deduced.
Findings
Velocity equations are derived for the propagation of SH-wave in both the composite structures. The obtained results are matched with the classical results for the case of double and triple-layered composite structure along with comparative analysis. Stability analysis have been carried out to develop expressions of phase as well as group velocity in terms of dispersion-parameter and stability-ratio. The effect of wavenumber, dispersion parameter along with initial-stress, porosity, sandiness, viscoelasticity, stability ratio, associated with the said composite structures on phase, damped and group velocities of SH-wave has been unveiled.
Originality/value
To the best of authors’ knowledge, numerical modelling and analysis of propagation characteristics of SH-wave in multi-layered initially stressed composite structures composed of transversely isotropic poroelastic materials and viscoelastic-dry-sandy materials remain unattempted inspite of its importance and relevance in many branches of science and engineering.
Keywords
Acknowledgements
The author Ms Shalini Saha conveys her sincere thanks to Indian Institute of Technology (Indian School of Mines) Dhanbad, India, for providing Junior Research Fellowship and facilitating us with its best research facility. The authors would also like to thank Science and Engineering Research Board, Department of Science and Technology, New Delhi, for providing financial support through Project no. EMR/2017/000263. They are also thankful to reviewers for their useful suggestions and valuable comments in the improvement of the manuscript.
Conflict of interest: On behalf of all authors, the corresponding author states that there is no conflict of interest.
Citation
Saha, S., Chattopadhyay, A. and Singh, A.K. (2019), "Numerical modelling of SH-wave propagation in initially-stressed multilayered composite structures: A casewise study", Engineering Computations, Vol. 36 No. 1, pp. 271-306. https://doi.org/10.1108/EC-05-2018-0207
Publisher
:Emerald Publishing Limited
Copyright © 2018, Emerald Publishing Limited