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<p>The present study analyzes the coupled thermo-mechanical behavior of a homogeneous orthotropic medium within the framework of nonlocal thermoelasticity with mass diffusion. A novel nonlocal dual-phase-lag (DPL) diffusion–elasticity model is proposed to incorporate nonlocal effects and phase lags in heat and mass transport. The governing equations are formulated using nonlocal continuum mechanics and solved analytically via normal mode analysis under thermal shock conditions. Numerical results are obtained for temperature, displacement, stress, and concentration fields. The influence of nonlocal parameters, phase lags, and diffusion on thermoelastic wave propagation is examined, showing significant attenuation and delay effects. Comparative analysis with Lord–Shulman (LS) and classical DPL models highlights the advantages of the proposed model. The formulation is validated through special cases and is applicable to micro/nano-scale and diffusion-controlled thermoelastic systems.</p>

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Thermoelastic Diffusion in Nonlocal Orthotropic Medium with Dual-Phase-Lag Model

  • 期刊论文

  • 发表日期：

    2026年5月21日

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  • Abhishek Mallick,
  • Siddhartha Biswas

摘要

The present study analyzes the coupled thermo-mechanical behavior of a homogeneous orthotropic medium within the framework of nonlocal thermoelasticity with mass diffusion. A novel nonlocal dual-phase-lag (DPL) diffusion–elasticity model is proposed to incorporate nonlocal effects and phase lags in heat and mass transport. The governing equations are formulated using nonlocal continuum mechanics and solved analytically via normal mode analysis under thermal shock conditions. Numerical results are obtained for temperature, displacement, stress, and concentration fields. The influence of nonlocal parameters, phase lags, and diffusion on thermoelastic wave propagation is examined, showing significant attenuation and delay effects. Comparative analysis with Lord–Shulman (LS) and classical DPL models highlights the advantages of the proposed model. The formulation is validated through special cases and is applicable to micro/nano-scale and diffusion-controlled thermoelastic systems.