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<p>This study investigates a thermoelastic diffusive rod with micro concentrations subjected to gradually increasing internal heat generation and a laser pulse. The rod is fixed at both ends with thermally insulated and chemically impermeable boundaries. The laser pulse provides localized heating at the rod center, generating thermal waves that propagate through the medium. The governing one-dimensional equations are solved using the Laplace transform method, and numerical inversion yields expressions for displacement, stress, temperature, concentration, micro concentration, and mass diffusion flux moment. Results, presented in 2D and 3D graphs, show that the laser pulse creates intense localized temperature and concentration peaks that decay through diffusion, while the gradually increasing internal heat generation (modeling scenarios such as nuclear decay or autocatalytic reactions) contributes to background field evolution. The strong thermodiffusion coupling produces similar patterns in temperature and concentration fields. Microstructural diffusion mechanisms reveal complex behavior distinct from macroscopic fields.</p>

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A Gradually Increasing Internal Heat Generation in a Thermoelastic Diffusive Rod with Micro Concentrations Under the Influence of a Laser Pulse

  • 期刊论文

  • 发表日期：

    2026年7月22日

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  • Nasser M. El-Maghraby,
  • Alaa A. El-Bary,
  • Khaled Lotfy,
  • Abdelaala Ahmed,
  • E. S. Elidy

摘要

This study investigates a thermoelastic diffusive rod with micro concentrations subjected to gradually increasing internal heat generation and a laser pulse. The rod is fixed at both ends with thermally insulated and chemically impermeable boundaries. The laser pulse provides localized heating at the rod center, generating thermal waves that propagate through the medium. The governing one-dimensional equations are solved using the Laplace transform method, and numerical inversion yields expressions for displacement, stress, temperature, concentration, micro concentration, and mass diffusion flux moment. Results, presented in 2D and 3D graphs, show that the laser pulse creates intense localized temperature and concentration peaks that decay through diffusion, while the gradually increasing internal heat generation (modeling scenarios such as nuclear decay or autocatalytic reactions) contributes to background field evolution. The strong thermodiffusion coupling produces similar patterns in temperature and concentration fields. Microstructural diffusion mechanisms reveal complex behavior distinct from macroscopic fields.