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Rayleigh-type waves in nonlocal micropolar solid half-space.

Aarti Khurana1, S K Tomar1

  • 1Department of Mathematics, Panjab University, Chandigarh 160 014, India.

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Summary
This summary is machine-generated.

This study investigates Rayleigh surface waves in nonlocal micropolar elastic solids, revealing two wave modes. The findings detail frequency equations and phase speed variations, offering insights into wave propagation in advanced materials.

Keywords:
DispersionElastic solidMicropolarNonlocalPhase speedRayleigh waves

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Area of Science:

  • Solid Mechanics
  • Materials Science
  • Wave Propagation

Background:

  • Investigates Rayleigh type surface waves in nonlocal micropolar elastic solid half-space.
  • Explores the influence of micropolarity and nonlocality on wave dispersion characteristics.

Purpose of the Study:

  • To derive frequency equations for Rayleigh-type waves in nonlocal micropolar elastic solids.
  • To analyze the dispersive nature of these waves and their conditions of existence.
  • To compare wave speeds in nonlocal micropolar, local micropolar, and elastic solid half-spaces.

Main Methods:

  • Theoretical derivation of frequency equations for two distinct Rayleigh-type wave modes.
  • Numerical computation of phase speeds for Magnesium crystal.
  • Graphical presentation of phase speed variations against wavenumber.

Main Results:

  • Identified two modes of Rayleigh-type surface wave propagation.
  • Derived dispersive frequency equations influenced by micropolarity and nonlocality.
  • One frequency equation corresponds to classical Rayleigh waves; the other is novel, arising from micropolarity.

Conclusions:

  • The study successfully derived and analyzed frequency equations for Rayleigh-type waves in a nonlocal micropolar elastic solid half-space.
  • Micropolarity introduces a new wave mode alongside a counterpart to classical Rayleigh waves, both exhibiting dispersive behavior.
  • Numerical results for Magnesium provide valuable data for understanding wave dynamics in such advanced materials.