Abstract <p>This paper aims to analyse the propagation of Love-type waves in a fibre-reinforced composite (FRC) over a pre-stressed orthotropic substrate. The upper fibre-reinforced layer is imperfectly bonded to the lower orthotropic half-space. The structure considered has a mechanical imperfection (MI). The purpose is to investigate the integrated effect of fibre reinforcement, initial stress, and flawed interface on the dispersion and attenuation of Love-type waves. The dispersion relation is derived analytically using the boundary condition. The phase velocity of the Love-type wave has been discussed in its typical cases: (i) in the infusion of reinforcement and absence of initial stress, (ii) in the presence of reinforcement subjected to initial stress, considering scenarios with and without the flawed coupling. The numerical computation of the analytical finding was performed and plotted using MATLAB, showing the impact of the parameters considered. It is observed that the interfacial imperfection positively influences the phase velocity of the Love-type wave in the model considered. The increase in the reinforcement parameter <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\({{a}_{1}}~\)</EquationSource> <!--MechSol2560416Abhilasha-m1--> </InlineEquation> and the decrease in <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\({{a}_{3}}\)</EquationSource> <!--MechSol2560416Abhilasha-m2--> </InlineEquation> lead to attenuation in phase velocity. In engineering, fibres are considered to be oriented in two or more directions, and the study assumes only bidirectional fibres. The results highlight the combined influence of mechanical anisotropy, pre-stress, and interface quality on guided wave characteristics, offering valuable insights for the design and optimisation of layered composites, acoustic sensors, and structural health monitoring systems.</p>

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Continuum Mechanical Study of Love-Wave Propagation in Fibre-Reinforced Plate Over an Orthotropic Substrate with Interfacial Imperfection

  • Abhilasha,
  • Abhinav Singhal,
  • Abdulkafi Mohammed Saeed,
  • Anjali Chaudhary

摘要

Abstract

This paper aims to analyse the propagation of Love-type waves in a fibre-reinforced composite (FRC) over a pre-stressed orthotropic substrate. The upper fibre-reinforced layer is imperfectly bonded to the lower orthotropic half-space. The structure considered has a mechanical imperfection (MI). The purpose is to investigate the integrated effect of fibre reinforcement, initial stress, and flawed interface on the dispersion and attenuation of Love-type waves. The dispersion relation is derived analytically using the boundary condition. The phase velocity of the Love-type wave has been discussed in its typical cases: (i) in the infusion of reinforcement and absence of initial stress, (ii) in the presence of reinforcement subjected to initial stress, considering scenarios with and without the flawed coupling. The numerical computation of the analytical finding was performed and plotted using MATLAB, showing the impact of the parameters considered. It is observed that the interfacial imperfection positively influences the phase velocity of the Love-type wave in the model considered. The increase in the reinforcement parameter \({{a}_{1}}~\) and the decrease in \({{a}_{3}}\) lead to attenuation in phase velocity. In engineering, fibres are considered to be oriented in two or more directions, and the study assumes only bidirectional fibres. The results highlight the combined influence of mechanical anisotropy, pre-stress, and interface quality on guided wave characteristics, offering valuable insights for the design and optimisation of layered composites, acoustic sensors, and structural health monitoring systems.