Technical Papers
Jun 27, 2023

Impact of Prestressed Anisotropic Porous and Prestressed Anisotropic Magnetoelastic Layers on a Love-Type Wave

Publication: International Journal of Geomechanics
Volume 23, Issue 9

Abstract

The present study is carried out to investigate the traversing of a Love-type wave in a prestressed anisotropic magnetoelastic stratum (PAMES) bounded between a prestressed anisotropic porous upper substrate (PAPUS) and prestressed anisotropic porous lower substrate (PAPLS). The exact solution of the governing equations is acquired and explained in detail for various effective parameters. Irregular boundary conditions have been employed for both the interfaces of the sandwiched layer. The variable separable technique has been used to determine the exact solution of the governing equations. The impacts of diverse parameters such as prestress, anisotropic porosity, anisotropic magnetoelasticity, irregularity parameters on phase, and damped velocity of Love-type wave have been discussed. This model contains huge potential to deal with many commercial and industrial applications in acoustical engineering, geotechnical engineering, ultrasonics, earthquake engineering, and geophysics. Results indicate that the anisotropic magnetoelastic parameter possesses a positive impact on phase and damped velocity. The damped velocity converges to some constant magnitude for distinct values of the porosity parameter.

Practical Applications

This is a theoretical work on the seismic wave propagation of surface waves. In this work, the seismic tremor, the soil components, and the transducers are made with the help of both theoretical and numerical calculations. This research could have also been used in acoustic design, earthquake engineering, geophysics, and ultrasonics. Seismic waves are also applicable for forecasting. This can be improved by putting a porous material on the structure's free surface. The goal of looking at different physical situations is to find ways that the results of this study can be used in science, technology, or the field of geotechnics. Geotechnical engineering is an integral part of civil engineering that looks at how earth materials work in engineering. Geotechnical engineers use soil properties, such as porosity, void ratio, permeability, and so forth, to analyze site conditions and plan earthworks, retaining structures, and foundations. The surface wave survey method is under continuous evolution. On a small scale, it can be used to describe a medium without touching it. On a large scale, it can be used to do a geotechnical survey after an earthquake. Even though the sizes of these applications are very different, they all use the way surface waves move along the edge of a layered medium.

Get full access to this article

View all available purchase options and get full access to this article.

Data Availability Statement

All data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.

Acknowledgments

The authors gratefully acknowledge the support of the Indian Institute of Technology (Indian School of Mines) Dhanbad, India, for providing Senior Research Fellowship to Miss. Chandani Kumari, along with the best facilities for carrying out this research work. We are also thankful to Madanapalle Institute of Technology & Science, AP, for supporting us. The authors are also grateful to the anonymous reviewers and editor for providing insightful comments and suggestions, which helped us to improve the manuscript.

References

Alam, P., S. Kundu, and S. Gupta. 2018a. “Effect of magneto-elasticity, hydrostatic stress and gravity on Rayleigh waves in a hydrostatic stressed magneto-elastic crystalline medium over a gravitating half-space with sliding contact.” Mech. Res. Commun. 89: 11–17. https://doi.org/10.1016/j.mechrescom.2018.02.001.
Alam, P., S. Kundu, and S. Gupta. 2018b. “Love-type wave propagation in a hydrostatic stressed magneto-elastic transversely isotropic strip over an inhomogeneous substrate caused by a disturbance point source.” J. Intell. Mater. Syst. Struct. 29 (11): 2508–2521. https://doi.org/10.1177/1045389X18770877.
Biot, M. A. 1956. “Theory of propagation of elastic waves in a fluid-saturated porous solid. II. Higher frequency range.” J. Acoust. Soc. Am. 28 (2): 179–191. https://doi.org/10.1121/1.1908241.
Biot, M. A. 1965. Mechanics of incremental deformation. New York: John Wiley & Sons.
Chaki, M. S., and A. K. Singh. 2020. “The impact of reinforcement and piezoelectricity on sh wave propagation in irregular imperfectly-bonded layered FGPM structures: An analytical approach.” Eur. J. Mech. A. Solids 80: 103872. https://doi.org/10.1016/j.euromechsol.2019.103872.
Chattopadhyay, A., and A. K. Singh. 2014. “Propagation of a crack due to magnetoelastic shear waves in a self-reinforced medium.” J. Vib. Control 20 (3): 406–420. https://doi.org/10.1177/1077546312458134.
Chen, J., E. Pan, and H. Chen. 2007. “Wave propagation in magneto-electro-elastic multilayered plates.” Int. J. Solids Struct. 44 (3–4): 1073–1085. https://doi.org/10.1016/j.ijsolstr.2006.06.003.
Dorfmann, A., and R. Ogden. 2004. “Nonlinear magnetoelastic deformations of elastomers.” Acta Mech. 167 (1): 13–28. https://doi.org/10.1007/s00707-003-0061-2.
Du, J., X. Jin, and J. Wang. 2007. “Love wave propagation in layered magneto-electro-elastic structures with initial stress.” Acta Mech. 192 (1): 169–189. https://doi.org/10.1007/s00707-006-0435-3.
Gupta, S., M. Ahmed, and J. C. Misra. 2019. “Effects of periodic corrugated boundary surfaces on plane sh-waves in fiber-reinforced medium over a semi-infinite micropolar solid under the action of magnetic field.” Mech. Res. Commun. 95: 35–44. https://doi.org/10.1016/j.mechrescom.2018.11.007.
Gupta, S., and N. Bhengra. 2017. “Implementation of finite difference approximation on the sh-wave propagation in a multilayered magnetoelastic orthotropic composite medium.” Acta Mech. 228 (10): 3421–3444. https://doi.org/10.1007/s00707-017-1884-6.
Gupta, S., A. Pramanik, and M. Ahmed. 2018. “Impact of pre-stress, inhomogeneity and porosity on the propagation of love wave.” Acta Geophys. 66 (5): 855–866. https://doi.org/10.1007/s11600-018-0185-3.
Gupta, S., S. Pramanik, S. Smita, and A. K. Verma. 2020. “Reflection and refraction phenomena of shear horizontal waves at the interfaces of sandwiched anisotropic magnetoelastic medium with corrugated boundaries.” Eur. Phys. J. Plus 135 (9): 1–41. https://doi.org/10.1140/epjp/s13360-020-00767-0.
Huang, Y., and X. Li. 2010. “Shear waves guided by the imperfect interface of two magnetoelectric materials.” Ultrasonics 50 (8): 750–757. https://doi.org/10.1016/j.ultras.2010.03.001.
Kakar, R., and S. Kakar. 2017. “Love-type surface wave in an isotropic layer bounded between orthotropic and heterogeneous half-spaces under initial stresses.” Int. J. Geomech. 17 (3): 04016083. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000765.
Ke, L.-L., Y.-S. Wang, and Z.-M. Zhang. 2006. “Love waves in an inhomogeneous fluid saturated porous layered half-space with linearly varying properties.” Soil Dyn. Earthquake Eng. 26 (6–7): 574–581. https://doi.org/10.1016/j.soildyn.2006.01.010.
Kumar, S., B. Mandal, and M. Billa. 2019. “Sh-waves in an initially stressed anisotropic magnetoelastic half-space with impedance boundary condition.” Int. J. Res. Anal. Rev. 6 (10).
Kumar, S., P. C. Pal, and S. Majhi. 2015. “Reflection and transmission of plane sh-waves through an anisotropic magnetoelastic layer sandwiched between two semi-infinite inhomogeneous viscoelastic half-spaces.” Pure Appl. Geophys. 172 (10): 2621–2634. https://doi.org/10.1007/s00024-015-1048-3.
Kumari, C., S. Kundu, A. Kumari, and S. Gupta. 2020. “Analysis of dispersion and damping characteristics of love wave propagation in orthotropic visco-elastic FGM layer with corrugated boundaries.” Int. J. Geomech. 20 (2): 04019172. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001569.
Kumhar, R., S. Kundu, and C. Kumari. 2019. “Propagation of torsional wave at a corrugated interface between viscoelastic sandy medium and inhomogeneous half-space.” AIP Conf. Proc. 2061: 020012. https://doi.org/10.1063/1.5086634.
Kundu, S., S. Manna, and S. Gupta. 2014. “Love wave dispersion in pre-stressed homogeneous medium over a porous half-space with irregular boundary surfaces.” Int. J. Solids Struct. 51 (21–22): 3689–3697. https://doi.org/10.1016/j.ijsolstr.2014.07.002.
Kundu, S., R. M. Prasad, S. Gupta, and S. Manna. 2016. “Propagation of torsional surface wave in an anisotropic porous medium over a dry sandy half-space.” Int. J. Geomech. 16 (2): 04015050. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000503.
Lee, V., W. Liu, M. Trifunac, and N. Orbović. 2014. “Scattering and diffraction of earthquake motions in irregular elastic layers, I: Love and sh waves.” Soil Dyn. Earthquake Eng. 66: 125–134. https://doi.org/10.1016/j.soildyn.2014.07.002.
Love, A. E. H. 1920. Mathematical theory of elasticity. Cambridge: Cambridge University Press.
Mahanty, M., P. Kumar, A. K. Singh, and A. Chattopadhyay. 2021. “Analysis on the propagation of griffith crack in a magnetoelastic self-reinforced strip subjected to moving punch of constant load.” Arch. Appl. Mech. 91 (3): 791–808. https://doi.org/10.1007/s00419-020-01789-x.
Maity, M., S. Kundu, R. Kumhar, and S. Gupta. 2022. “An electromechanical based model for love-type waves in anisotropic-porous-piezoelectric composite structure with interfacial imperfections.” Appl. Math. Comput. 418: 126783. https://doi.org/10.1016/j.amc.2021.126783.
Manna, S., and T. Anjali. 2020. “Rayleigh type wave dispersion in an incompressible functionally graded orthotropic half-space loaded by a thin fluid-saturated aeolotropic porous layer.” Appl. Math. Modell. 83: 590–613. https://doi.org/10.1016/j.apm.2020.02.007.
Manna, S., T. Halder, and S. N. Althobaiti. 2022. “Dispersion of love-type wave and its limitation in a nonlocal elastic model of nonhomogeneous layer upon an orthotropic extended medium.” Soil Dyn. Earthquake Eng. 153: 107117. https://doi.org/10.1016/j.soildyn.2021.107117.
Manna, S., and A. Kumar. 2021. “Dynamic behavior of multi-layer heterogeneous composite magneto-elastic structures for surface wave scattering.” Appl. Math. Comput. 397: 125922. https://doi.org/10.1016/j.amc.2020.125922.
Pramanik, D., and S. Manna. 2022. “Dynamic behavior of material strength due to the effect of prestress, aeolotropy, non-homogeneity, irregularity, and porosity on the propagation of torsional waves.” Acta Mech. 233 (3): 1125–1146. https://doi.org/10.1007/s00707-022-03164-z.
Qian, Z.-H., F. Jin, T. Lu, K. Kishimoto, and S. Hirose. 2010. “Effect of initial stress on love waves in a piezoelectric structure carrying a functionally graded material layer.” Ultrasonics 50 (1): 84–90. https://doi.org/10.1016/j.ultras.2009.08.011.
Saha, A., S. Kundu, S. Gupta, and P. K. Vaishnav. 2015. “Love waves in a heterogeneous orthotropic layer under initial stress overlying a gravitating porous half-space.” Proc. Indian Natl. Sci. Acad. 81: 1193–1205.
Samal, S. K., and R. Chattaraj. 2011. “Surface wave propagation in fiber-reinforced anisotropic elastic layer between liquid saturated porous half space and uniform liquid layer.” Acta Geophys. 59 (3): 470–482. https://doi.org/10.2478/s11600-011-0002-8.
Saxena, P., and R. W. Ogden. 2012. “On love-type waves in a finitely deformed magnetoelastic layered half-space.” Z. Angew. Math. Phys. 63 (6): 1177–1200. https://doi.org/10.1007/s00033-012-0204-1.
Singh, S. 2011. “Love wave at a layer medium bounded by irregular boundary surfaces.” J. Vib. Control 17 (5): 789–795. https://doi.org/10.1177/1077546309351301.
Vaishnav, P. K., S. Kundu, S. Gupta, and A. Saha. 2016. “Propagation of love-type wave in porous medium over an orthotropic semi-infinite medium with rectangular irregularity.” Math. Probl. Eng. 2016. https://doi.org/10.1155/2016/2081505.
Vishwakarma, S. K., and R. Xu. 2016. “Rayleigh wave dispersion in an irregular sandy earth’s crust over orthotropic mantle.” Appl. Math. Modell. 40 (19–20): 8647–8659. https://doi.org/10.1016/j.apm.2016.05.020.
Wolf, B. 1970. “Propagation of love waves in layers with irregular boundaries.” Pure Appl. Geophys. 78 (1): 48–57. https://doi.org/10.1007/BF00874772.

Information & Authors

Information

Published In

Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 23Issue 9September 2023

History

Received: Jul 16, 2021
Accepted: Feb 28, 2023
Published online: Jun 27, 2023
Published in print: Sep 1, 2023
Discussion open until: Nov 27, 2023

Permissions

Request permissions for this article.

Authors

Affiliations

Assistant Professor, Dept. of Mathematics, Madanapalle Institute of Technology & Science, Madanapalle, AP 517325, India (corresponding author). ORCID: https://orcid.org/0000-0003-0835-7904. Email: [email protected]; [email protected]
Santimoy Kundu
Associate Professor, Dept. of Mathematics & Computing, Indian Institute of Technology (Indian School of Mines), Dhanbad, Jharkhand 826004, India.

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share