ARTICLE
Love waves in fiber-reinforced layer imperfectly bonded to microstructural couple stress substrate
 
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Lovely Professional University, Department of Mathematics, Phagwara, Punjab, India
Online publication date: 2020-01-15
Publication date: 2020-01-15
Submission date: 2018-12-19
Acceptance date: 2019-09-24
 
Journal of Theoretical and Applied Mechanics 2020;58(1):221–232
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ABSTRACT
Interior of the Earth is quite complex and it shows many heterogeneities in the form of microstructures. It is difficult to model the Earth in mathematical formulation of a problem, yet it is always desirable that the proposed model should be the nearest approximation of the Earth. In this paper, Love waves are investigated, using a new geometrical configuration which consists of a finite thicker fiber-reinforced layer lying over a couple stress half-space having internal microstructures. The two media are assumed to be imperfectly bonded to each other at the interface. Dispersion and damping equations are derived for the propagation of Love waves in the considered model. The impact of various parameters like imperfectness at the interfacial surface, thickness of the layer, characteristic length parameter of the halfspace, direction of reinforcement are studied on the phase and damping velocities of Love waves.
 
REFERENCES (27)
1.
Akgöz B., Civalek O., 2013, Modeling and analysis of micro-sized plates resting on elastic medium using the modified couple stress theory, Meccanica, 48, 863-873, DOI: 10.1007/s11012-012-9639-x.
 
2.
Belfield A.J., Rogers T.G., Spencer A.J.M., 1983, Stress in elastic plates reinforced by fibres lying in concentric circles, Journal of the Mechanics and Physics of Solids, 31, 1, 25-54.
 
3.
Chattaraj R., Samal S.K., 2013, Love waves in the fiber-reinforced layer over a gravitating porous half-space, Acta Geophysica, 61, 5, 1170-1183.
 
4.
Cui J., Du J., Wang J., 2013, Study on SH waves in piezoelectric structure with an imperfectly bonded viscoelastic layer, Joint UFFC, EFTF and PFM Symposium, 1017-1020.
 
5.
Fan H., Xu L., 2018, Love wave in a classical linear elastic half-space covered by a surface layer described by the couple stress theory, Acta Mechanica, 229, 5121-5132.
 
6.
Georgiadis H.G., Velgaki E.G., 2003, High-frequency Rayleigh waves in materials with microstructure and couple-stress effects, International Journal of Solids and Structures, 40, 2501-2520.
 
7.
Goyal S., Kumar S., Sharma V., 2018, Microstructural considerations on SH-wave propagation in a piezoelectric layered structure, Journal of Theoretical and Applied Mechanics, 56, 4, 993-1004.
 
8.
Gubbins D., 1990, Seismology and Plate Tectonics, Cambridge University Press, Cambridge.
 
9.
Gupta S., Pramanik A., Ahmed M., 2018, Impact of pre-stress, inhomogeneity and porosity on the propagation of Love wave, Acta Geophysica, DOI: 10.1007/s11600-018-0185-3.
 
10.
Hadjesfandiari A.R., Dargush G.F., 2011, Couple stress theory for solids, International Journal of Solids and Structures, 48, 2496-2510.
 
11.
Kakar R., Kakar S., 2016, Modelling of SH-waves in a fiber-reinforced anisotropic layer over a pre-stressed heterogeneous half-space, Journal of Theoretical and Applied Mechanics, 54, 2, 463-475.
 
12.
Kończak Z., 1989, The propagation of Love waves in a fluid-saturated porous anisotropic layer, Acta Mechanica, 79, 155-168.
 
13.
Kuznetsov S.V., 2014, Dispersion of SH and Love waves, International Journal of Physics, 2, 5, 170-180.
 
14.
Lavrentyev A.I., Rokhlin S.I., 1998, Ultrasonic spectroscopy of imperfect contact interfaces between a layer and two solids, Journal of Acoustical Society of America, 103, 2, 657-664.
 
15.
Lotfy K., Salem A.M., Sayed A.A., 2016, Electromagnetic field of surface waves propagation in fiber-reinforced generalized thermoelastic medium, Journal of Molecular and Engineering Materials, 3, 3-4, DOI: 10.1142/S225123731550001X.
 
16.
Ma Q., Jiao J., Hu P., Zhong X., Wu B., He C., 2014, Excitation and detection of shear horizontal waves with electromagnetic acoustic transducers for nondestructive testing of plates, Chinese Journal of Mechanical Engineering, 27, 2, 428-436.
 
17.
Otero J.A., Calás H., Rodríguez-Ramos R., Bravo-Castillero J., Aguiar A.R., Monsivais G., 2011, Dispersion relations for SH waves on a magnetoelectroelastic heterostructure with imperfect interfaces, Journal of Mechanics of Materials and Structures, 6, 7-8, 969-994.
 
18.
Ottosen N.S., Ristinmaa M., Ljung C., 2000, Rayleigh waves by the indeterminate couplestress theory, European Journal of Mechanics-A/Solids, 19, 929-947.
 
19.
Qu Z., Cao X., Shen X., 2018, Properties of Love waves in functional graded saturated material, Materials, 11, 2165, DOI:10.3390/ma11112165.
 
20.
Sengupta P.R., Ghosh B., 1974, Effects of couple stresses on the propagation of waves in an elastic layer, Pure and Applied Geophysics, 112, 331-338.
 
21.
Sharma V., Kumar S., 2017, Dispersion of SH waves in a viscoelastic layer imperfectly bonded with a couple stress substrate, Journal of Theoretical and Applied Mechanics, 55, 2, 535-546.
 
22.
Sharma V., Kumar S., 2018, Dispersion of Rayleigh waves in a microstructural couple stress substrate loaded with liquid layer under the effects of gravity, Archives of Acoustics, 43, 1, 11-20.
 
23.
Simonetti F., Cawley P., 2004, On the nature of shear horizontal wave propagation in elastic plates coated with viscoelastic materials, Proceedings of the Royal Society of London-A, 460, 2197-2221.
 
24.
Singh J., Singh B., Ailawalia P., 2011, Propagation of waves at an imperfectly bonded interface between two monoclinic thermoelastic half-spaces, Journal of Theoretical and Applied Mechanics, 41, 3, 77-92.
 
25.
Vaishnav P.K., Kundu S., Abo-Dahab S.M., Saha A., 2017, Love wave behavior in composite fiber-reinforced structure, International Journal of Geomechanics, DOI: 10.1061/(ASCE)GM.1943-5622.0000945.
 
26.
Vardoulakis I., Georgiadis H.G., 1997, SH surface waves in a homogeneous gradient-elastic half-space with surface energy, Journal of Elasticity, 47, 147-165.
 
27.
Yang W., Liang X., Shen S., 2017, Love waves in layered flexoelectric structures, Philosophical Magazine, 97, 33, 3186-3209.
 
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