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<p>This study investigates the propagation of SH-waves (shear horizontal waves) in an orthotropic piezoelectric structure with a spring–membrane imperfect interface. The analysis is conducted for four different interface models: (i) a perfectly bonded interface, (ii) a spring-layer interface, (iii) a membrane interface and (iv) a combined spring–membrane interface. The mathematical formulation incorporates governing equations and boundary conditions for a transversely isotropic piezoelectric (TIPE) layer overlying an orthotropic piezoelectric (OPE) half-space. The derived dispersion relations are numerically solved using MATHEMATICA, and the phase velocity variations are examined under different parametric conditions. The study reveals that piezoelectricity reduces phase velocity due to electromechanical coupling, while an increase in mechanical and electromechanical spring constants enhances wave propagation. In contrast, electrical spring constants introduce constraints that hinder wave motion. The presence of a membrane modifies wave transmission, with increased material stiffness promoting higher phase velocity. The findings reveal that electrical spring constants impose additional constraints, while mechanical and electromechanical spring constants enhance wave transmission, offering practical insights for optimising piezoelectric materials. The results provide essential guidelines for optimising piezoelectric materials used in sensors, signal processing and non-destructive evaluation technologies.</p>

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Analysis of SH-waves in orthotropic piezoelectric structure with spring–membrane interface

  • 期刊论文

  • 发表日期：

    2026年2月3日

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  • Nikhil Chand,
  • Amrita Das,
  • Kshitish Ch. Mistri,
  • Koushik Maity

摘要

This study investigates the propagation of SH-waves (shear horizontal waves) in an orthotropic piezoelectric structure with a spring–membrane imperfect interface. The analysis is conducted for four different interface models: (i) a perfectly bonded interface, (ii) a spring-layer interface, (iii) a membrane interface and (iv) a combined spring–membrane interface. The mathematical formulation incorporates governing equations and boundary conditions for a transversely isotropic piezoelectric (TIPE) layer overlying an orthotropic piezoelectric (OPE) half-space. The derived dispersion relations are numerically solved using MATHEMATICA, and the phase velocity variations are examined under different parametric conditions. The study reveals that piezoelectricity reduces phase velocity due to electromechanical coupling, while an increase in mechanical and electromechanical spring constants enhances wave propagation. In contrast, electrical spring constants introduce constraints that hinder wave motion. The presence of a membrane modifies wave transmission, with increased material stiffness promoting higher phase velocity. The findings reveal that electrical spring constants impose additional constraints, while mechanical and electromechanical spring constants enhance wave transmission, offering practical insights for optimising piezoelectric materials. The results provide essential guidelines for optimising piezoelectric materials used in sensors, signal processing and non-destructive evaluation technologies.