Articles

Surface wave transference in a piezoelectric cylinder coated with reinforced material

Expand
  • Department of Applied Mathematics, Indian Institute of Technology(Indian School of Mines), Dhanbad, Jharkhand 826004, India

Received date: 2019-04-24

  Revised date: 2019-08-12

  Online published: 2019-12-14

Abstract

The present study deals with the propagation of a polarized shear horizontal (SH) wave in a pre-stressed piezoelectric cylinder circumscribed by a self-reinforced cylinder. The interface of the two media is assumed mechanically imperfect. For obtaining the dispersion relation, the mathematical formulation has been developed and solved by an analytical treatment. The effects of various parameters, i.e., the thickness ratio, the imperfect interface, the initial stress, the reinforcement, and the piezoelectric and dielectric constants, on the dispersion curve are observed prominently. The dispersion curves for different modes have been also plotted. The consequences of the study may be used for achieving optimum efficiency of acoustic wave devices.

Cite this article

K. K. PANKAJ, S. A. SAHU, S. KUMARI . Surface wave transference in a piezoelectric cylinder coated with reinforced material[J]. Applied Mathematics and Mechanics, 2020 , 41(1) : 123 -138 . DOI: 10.1007/s10483-020-2555-8

References

[1] HOUMMADY, M., CAMPITELLI, A., and WLODARSKI, W. Acoustic wave sensors:design, sensing mechanisms and applications. Smart Materials and Structures, 6(6), 647-657(1997)
[2] VELLEKOOP, M. J. Acoustic wave sensors and their technology. Ultrasonics, 36(1-5), 7-14(1998)
[3] YANG, J. and WANG, J. Dynamic anti-plane problems of piezoceramics and applications in ultrasonics-a review. Acta Mechanica Solida Sinica, 21(3), 207-220(2008)
[4] PARTON, V. Z. and KUDRYAVTSEV, B. A. Electromagnetoelasticity:Piezoelectrics and Electrically Conductive Solids, Taylor & Francis, Oxford (1988)
[5] JIN, F., WANG, Z., and WANG, T. The Bleustein-Gulyaev (B-G) wave in a piezoelectric layered half-space. International Journal of Engineering Science, 39(11), 1271-1285(2001)
[6] DANOYAN, Z. N. and PILIPOSIAN, G. T. Surface electro-elastic shear horizontal waves in a layered structure with a piezoelectric substrate and a hard dielectric layer. International Journal of Solids and Structures, 45(2), 431-441(2008)
[7] SINGHAL, A., SAHU, S. A., and CHAUDHARY, S. Liouville-Green approximation:an analytical approach to study the elastic waves vibrations in composite structure of piezo material. Composite Structures, 184, 714-727(2018)
[8] ABO-EL-NOUR, N., AL-SHEIKH, F., and AL-HOSSAIN, A. Y. Effect of initial stresses on dispersion relation of transverse waves in a piezoelectric layered cylinder. Materials Science and Engineering:B, 162(3), 147-154(2009)
[9] ZHAO, X., QIAN, Z. H., ZHANG, S., and LIU, J. X. Effect of initial stress on propagation behaviors of shear horizontal waves in piezoelectric/piezomagnetic layered cylinders. Ultrasonics, 63, 47-53(2015)
[10] LI, Y. D., XIONG, T., and GUAN, Y. Effects of coupled interfacial imperfections on SH wave propagation in a layered multiferroic cylinder. Ultrasonics, 66, 11-17(2016)
[11] GUO, X., WEI, P., LI, L., and LAN, M. Effects of functionally graded interlayers on dispersion relations of shear horizontal waves in layered piezoelectric/piezomagnetic cylinders. Applied Mathematical Modelling, 55, 569-582(2018)
[12] WU, B., ZHANG, C., CHEN, W., and ZHANG, C. Surface effects on anti-plane shear waves propagating in magneto-electro-elastic nanoplates. Smart Materials and Structures, 24(9), 095017(2015)
[13] SUN, C. T. and CHENG, N. C. Piezoelectric waves on a layered cylinder. Journal of Applied Physics, 45(10), 4288-4294(1974)
[14] DU, J., JIN, X., WANG, J., and ZHOU, Y. SH wave propagation in a cylindrically layered piezoelectric structure with initial stress. Acta Mechanica, 191(1-2), 59-74(2007)
[15] RAO, S. S. and SUNAR, M. Piezoelectricity and its use in disturbance sensing and control of flexible structures:a survey. Applied Mechanics Reviews, 47(4), 113-123(1994)
[16] WANG, Q., JIN, J., and QUEK, S. T. Propagation of a shear direction acoustic wave in piezoelectric coupled cylinders. Journal of Applied Mechanics, 69(3), 391-394(2002)
[17] WU, B., SU, Y., CHEN, W., and ZHANG, C. On guided circumferential waves in soft electroactive tubes under radially inhomogeneous biasing fields. Journal of the Mechanics and Physics of Solids, 99, 116-145(2017)
[18] QIAN, Z., JIN, F., WANG, Z., and KISHIMOTO, K. Investigation of scattering of elastic waves by cylinders in 1-3 piezocomposites. Ultrasonics, 43(10), 822-831(2005)
[19] HEYLIGER, P. A note on the static behavior of simply supported laminated piezoelectric cylinders. International Journal of Solids and Structures, 34(29), 3781-3794(1997)
[20] BISHEH, H. K. and WU, N. Wave propagation characteristics in a piezoelectric coupled laminated composite cylindrical shell by considering transverse shear effects and rotary inertia. Composite Structures, 191, 123-144(2018)
[21] DAI, H. L. and WANG, X. Stress wave propagation in piezoelectric fibre reinforced laminated composites subjected to thermal shock. Composite structures, 74(1), 51-62(2006)
[22] SPENCER, A. J. M. Deformations of Fibre-Reinforced Materials, Clarendon Press, Oxford (1972)
[23] SINGH, B. Wave propagation in thermally conducting linear fibre-reinforced composite materials. Archive of Applied Mechanics, 75(8-9), 513-520(2006)
[24] BELFIELD, A. J., ROGERS, T. G., and SPENCER, A. J. M. Stress in elastic plates reinforced by fibres lying in concentric circles. Journal of the Mechanics and Physics of Solids, 31(1), 25-54(1983)
[25] VERMA, P. D. S. and RANA, O. H. Rotation of a circular cylindrical tube reinforced by fibres lying along helices. Mechanics of Materials, 2(4), 353-359(1983)
[26] CHATTOPADHYAY, A., GUPTA, S., SAHU, S. A., and SINGH, A. K. Dispersion of horizontally polarized shear waves in an irregular non-homogeneous self-reinforced crustal layer over a semiinfinite self-reinforced medium. Journal of Vibration and Control, 19(1), 109-119(2013)
[27] MAHANTY, M., CHATTOPADHYAY, A., DHUA, S., and CHATTERJEE, M. Propagation of shear waves in homogeneous and inhomogeneous fibre-reinforced media on a cylindrical Earth model. Applied Mathematical Modelling, 52, 493-511(2017)
[28] FAN, H., YANG, J., and XU, L. Piezoelectric waves near an imperfectly bonded interface between two half-spaces. Applied Physics Letters, 88(20), 203509(2006)
[29] WANG, X., PAN, E., and ROY, A. K. Scattering of antiplane shear wave by a piezoelectric circular cylinder with an imperfect interface. Acta Mechanica, 193(3-4), 177-195(2007)
[30] HUANG, Y., LI, X. F., and LEE, K. Y. Interfacial shear horizontal (SH) waves propagating in a two-phase piezoelectric/piezomagnetic structure with an imperfect interface. Philosophical Magazine Letters, 89(2), 95-103(2009)
[31] NIE, G., LIU, J., FANG, X., and AN, Z. Shear horizontal (SH) waves propagating in piezoelectricpiezomagnetic bilayer system with an imperfect interface. Acta Mechanica, 223(9), 1999-2009(2012)
[32] YUAN, L., DU, J., MA, T., and WANG, J. Study on SH-SAW in imperfectly bonded piezoelectric structures loaded with viscous liquid. Acta Mechanica, 225(1), 1-11(2014)
[33] LI, P. and JIN, F. Bleustein-Gulyaev waves in a transversely isotropic piezoelectric layered structure with an imperfectly bonded interface. Smart Materials and Structures, 21(4), 045009(2012)
[34] WEI, H. X., LI, Y. D., XIONG, T., and GUAN, Y. Propagation of SH waves in a piezoelectric/piezomagnetic plate:effects of interfacial imperfection couplings and the related physical mechanisms. Physics Letters A, 380(38), 3013-3021(2016)
[35] SON, M. S. and KANG, Y. J. The effect of initial stress on the propagation behavior of SH waves in piezoelectric coupled plates. Ultrasonics, 51(4), 489-495(2011)
[36] DU, J., XIAN, K., WANG, J., and YONG, Y. K. Propagation of Love waves in prestressed piezoelectric layered structures loaded with viscous liquid. Acta Mechanica Solida Sinica, 21(6), 542-548(2008)
[37] GUO, X. and WEI, P. Effects of initial stress on the reflection and transmission waves at the interface between two piezoelectric half spaces. International Journal of Solids and Structures, 51(21-22), 3735-3751(2014)
[38] QIAN, Z., JIN, F., KISHIMOTO, K., and WANG, Z. Effect of initial stress on the propagation behavior of SH-waves in multilayered piezoelectric composite structures. Sensors and Actuators A:Physical, 112(2-3), 368-375(2004)
[39] WU, B., SU, Y., LIU, D., CHEN, W., and ZHANG, C. On propagation of axisymmetric waves in pressurized functionally graded elastomeric hollow cylinders. Journal of Sound and Vibration, 421, 17-47(2018)
[40] WU, B., ZHOU, W., BAO, R., and CHEN, W. Tuning elastic waves in soft phononic crystal cylinders via large deformation and electromechanical coupling. Journal of Applied Mechanics, 85(3), 031004(2018)
[41] SHMUEL, G. and DEBOTTON, G. Axisymmetric wave propagation in finitely deformed dielectric elastomer tubes. Proceedings of the Royal Society A:Mathematical, Physical and Engineering Sciences, 469(2155), 20130071(2013)
[42] SU, Y. P., WANG, H. M., ZHANG, C. L., and CHEN, W. Q. Propagation of non-axisymmetric waves in an infinite soft electroactive hollow cylinder under uniform biasing fields. International Journal of Solids and Structures, 81, 262-273(2016)
Outlines

/

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals