Nonlocal and magneto effects on dispersion characteristics of Love-type waves in piezomagnetic media

Abstract

Attributions of intrinsic nanoscale dimension in piezomagnetic structures, the small scale effects on the propagating wave are undeniable in their piezotronic applications. In this work, based on the nonlocal constitutive relations, the nanoscale size effects on the Love-type wave propagating in piezomagnetic structure are investigated. Dispersion equations are derived for magnetically open and short circuit cases. Particular results are deduced and validated with the existing results. Variation of phase velocity and group velocity versus the penetration depth has been distinctly marked. Influence of various parameters like nonlocal parameter, magneto parameters, magnetomechanical coupling coefficient associated with piezomagnetic media etc. on the dispersion characteristics for first three modes has been demonstrated graphically. This research shows that small scale effects have substantial effect on the phase velocity of the propagating wave. The results find its enormous possible applications in smart devices especially, nanoscale devices using wave propagation phenomena owing to representing outstanding magnetic and mechanical coupling performances.

Keywords:

• Love-type wave
• nonlocal theory
• piezomagnetic materials
• nanoscale
• size effects

Disclosure statement

All authors declare no potential conflict of interest.

Appendix

$\begin{array}{rl}{\theta }_1& =(\frac{h_{15}^l}{{\mu }_{11}^l}-\frac{h_{15}^h}{{\mu }_{11}^h}),{\theta }_2={\mu }_{11}^h{h}_{15}^l-{\mu }_{11}^l{h}_{15}^h,\\ {\theta }_3& ={\eta }_0\overline{c_{44}^l}\tan (k{\eta }_{0}L)-{\zeta }_0\overline{c_{44}^h},{\theta }_4=\tanh (kL){\mu }_{11}^l+{\mu }_{11}^h,\\ {\theta }_5& =({\eta }_0\overline{c_{44}^l}-\left(\frac{{h_{15}^l}^2}{{\mu }_{11}^l}\right)\tan (k{\eta }_{0}L)\tanh (kL))({\mu }_{11}^h{h}_{15}^l-{\mu }_{11}^l{h}_{15}^h)\\ & +2{\zeta }_0\overline{c_{44}^l}{h}_{15}^l{\mu }_{11}^{h}sec(k{\eta }_{0}L)sech(kL),\\ {\theta }_6& ={\mu }_{11}^h\tanh (kL)+{\mu }_{11}^l,{\theta }_7=\left(\frac{{h_{15}^l}^2}{{\mu }_{11}^l}\right)({\eta }_0\overline{c_{44}^l}+{\zeta }_0\overline{c_{44}^h}\tan (k{\eta }_{0}L)),\\ {\theta }_8& ={\mu }_{11}^l\tanh (kL)+{\mu }_{11}^h,\\ {\theta }_3^{\prime }& ={\eta }_0^{\prime }\overline{c_{44}^l}\tan (k{\eta }_0^{\prime }L)-{\zeta }_0^{\prime }\overline{c_{44}^h},\\ {\theta }_5^{\prime }& =({\eta }_0^{\prime }\overline{c_{44}^l}-\left(\frac{{h_{15}^l}^2}{{\mu }_{11}^l}\right)\tan (k{\eta }_0^{\prime }L)\tanh (kL))({\mu }_{11}^h{h}_{15}^l-{\mu }_{11}^l{h}_{15}^h)\\ & +2{\zeta }_0^{\prime }\overline{c_{44}^l}{h}_{15}^l{\mu }_{11}^{h}sec(k{\eta }_0^{\prime }L)sech(kL),\\ {\theta }_7^{\prime }& =\left(\frac{{h_{15}^l}^2}{{\mu }_{11}^l}\right)({\eta }_0^{\prime }\overline{c_{44}^l}+{\zeta }_0^{\prime }\overline{c_{44}^h}\tan (k{\eta }_0^{\prime }L)).\end{array}$

Additional information

Funding

The author(s) sincerely thank the Council of Scientific and Industrial Research, New Delhi, India for providing financial assistance through (CSIR) [grant number CSIR/25(0289)/18/EMR-II].