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<p>This paper presents a theoretical investigation of Love wave propagation in a piezoelectric microbeam bonded to a functionally graded half-space with quadratic variation in shear modulus under an imperfect interface. The study introduces two key innovations: (i) the incorporation of a microscale length parameter into the piezoelectric layer to capture size-dependent effects, and (ii) the inclusion of a quadratic gradation parameter in the substrate, both of which have not been previously examined together in Love wave analysis. Using separation of variables and asymptotic expansions of modified Bessel functions, the general governing equations are derived for a piezoelectric microbeam with microscale characteristics over a graded elastic medium. Dispersion curves are computed for four piezoelectric ceramics (PZT-4, PZT-5H, PZT-5A, PZT-2) under electrically open and short-circuit conditions. The combined effects of microscale length, piezoelectric coupling, dielectricity, and imperfect interfacial contact are systematically analyzed. A Finite Difference Approximation (FDA) approach is further employed to examine the stability of phase and group velocities in both media. The results reveal that the microscale length notably reduces the influence of electrical boundary conditions and decreases the density of dispersion curves in the piezoelectric layer, offering new insights for designing micro-scale Love wave devices and piezoelectric sensors.</p>

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Love waves in a piezoelectric microbeam with a loosely bonded interface using Bessel function and finite difference methods

  • 期刊论文

  • 发表日期：

    2026年3月23日

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  • Mohd Sadab,
  • Santimoy Kundu

摘要

This paper presents a theoretical investigation of Love wave propagation in a piezoelectric microbeam bonded to a functionally graded half-space with quadratic variation in shear modulus under an imperfect interface. The study introduces two key innovations: (i) the incorporation of a microscale length parameter into the piezoelectric layer to capture size-dependent effects, and (ii) the inclusion of a quadratic gradation parameter in the substrate, both of which have not been previously examined together in Love wave analysis. Using separation of variables and asymptotic expansions of modified Bessel functions, the general governing equations are derived for a piezoelectric microbeam with microscale characteristics over a graded elastic medium. Dispersion curves are computed for four piezoelectric ceramics (PZT-4, PZT-5H, PZT-5A, PZT-2) under electrically open and short-circuit conditions. The combined effects of microscale length, piezoelectric coupling, dielectricity, and imperfect interfacial contact are systematically analyzed. A Finite Difference Approximation (FDA) approach is further employed to examine the stability of phase and group velocities in both media. The results reveal that the microscale length notably reduces the influence of electrical boundary conditions and decreases the density of dispersion curves in the piezoelectric layer, offering new insights for designing micro-scale Love wave devices and piezoelectric sensors.