<p>This study develops a novel thermoelastic model for an unbounded micropolar half-space produced by a magnetic field having constant intensity. A novel spatiotemporal nonlocal elasticity theory is proposed by taking into account one dynamical scalar nonlocal kernel. In line with the theory, an isotropic nonlocal elasticity model of the Klein-Gordon type is formulated, incorporating both a characteristic internal length scale and an essential internal time scale parameter. The Moore-Gibson-Thompson theory, which is adjacent to the memory responses, governs the micropolar medium’s heat transport mechanism. While the boundary is free of traction, the micropolar medium experiences a time-harmonic thermal loading. The solutions to the governing equations have been obtained using Laplace and Fourier transform techniques. Numerical estimates of each of the physical fields have been performed for the analysis of the effectiveness of the nonlocality parameters of space and time, the micropolar parameters and the time-delay also. The significance of various kernels involved in the heat conduction process and the influence of magnetic field have also been concluded.</p>

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Memory-dependent wave dynamics in micropolar thermoelastic solid with Klein-Gordon nonlocal effect

  • Abhik Sur,
  • Marin Marin,
  • Sudip Mondal,
  • Murat Yaylacı,
  • Soumik Das

摘要

This study develops a novel thermoelastic model for an unbounded micropolar half-space produced by a magnetic field having constant intensity. A novel spatiotemporal nonlocal elasticity theory is proposed by taking into account one dynamical scalar nonlocal kernel. In line with the theory, an isotropic nonlocal elasticity model of the Klein-Gordon type is formulated, incorporating both a characteristic internal length scale and an essential internal time scale parameter. The Moore-Gibson-Thompson theory, which is adjacent to the memory responses, governs the micropolar medium’s heat transport mechanism. While the boundary is free of traction, the micropolar medium experiences a time-harmonic thermal loading. The solutions to the governing equations have been obtained using Laplace and Fourier transform techniques. Numerical estimates of each of the physical fields have been performed for the analysis of the effectiveness of the nonlocality parameters of space and time, the micropolar parameters and the time-delay also. The significance of various kernels involved in the heat conduction process and the influence of magnetic field have also been concluded.