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<p>In this study, we investigate a new two-dimensional generalized thermoelastic interaction that includes chemical potential and thermal loading along the boundary plane by using the generalized thermoelastic diffusion theory with relaxation time and a temperature discrepancy factor. We have developed an advanced thermoelastic diffusion model incorporating a dual-phase-lag model, memory-dependent derivatives, and Eringen’s nonlocal continuum theory. Our solution strategy integrates the Laplace transformation and eigenvalue method by transforming the governing equations into the Laplace domain, solving them using eigenvalues, and subsequently applying the inverse Laplace transform to obtain time-domain solutions for various physical quantities, such as temperature rise, invariant stress, chemical potential, and diffusion concentration. To address the problem in the physical domain, we conduct numerical inversions of the double Fourier and Laplace transforms. Graphical representations of the numerical results support our conclusions regarding the new theory. This study addresses the limitations of traditional models by developing an advanced framework that incorporates memory-dependent derivatives and Eringen’s nonlocal continuum theory to analyze thermoelastic interactions under thermal shock conditions. The study demonstrates the method’s effectiveness in predicting delayed responses, incorporating memory and nonlocality effects, and improving diffusion concentration, temperature, and stress for nanostructure design and engineering.<?oxy_comment_start comment="Kindly check and confirm whether the corresponding author is correctly identified."?><?oxy_comment_end??><?oxy_comment_start comment="Okay"?><?oxy_comment_end??></p>

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Nonlocal thermoelastic diffusion analysis in a semi-infinite body subjected to thermal loading with memory effects

  • 期刊论文

  • 发表日期：

    2025年6月1日

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  • Jitendra Patil,
  • Chandrakant Jadhav,
  • Nitin Chandel,
  • Vinod Varghese

摘要

In this study, we investigate a new two-dimensional generalized thermoelastic interaction that includes chemical potential and thermal loading along the boundary plane by using the generalized thermoelastic diffusion theory with relaxation time and a temperature discrepancy factor. We have developed an advanced thermoelastic diffusion model incorporating a dual-phase-lag model, memory-dependent derivatives, and Eringen’s nonlocal continuum theory. Our solution strategy integrates the Laplace transformation and eigenvalue method by transforming the governing equations into the Laplace domain, solving them using eigenvalues, and subsequently applying the inverse Laplace transform to obtain time-domain solutions for various physical quantities, such as temperature rise, invariant stress, chemical potential, and diffusion concentration. To address the problem in the physical domain, we conduct numerical inversions of the double Fourier and Laplace transforms. Graphical representations of the numerical results support our conclusions regarding the new theory. This study addresses the limitations of traditional models by developing an advanced framework that incorporates memory-dependent derivatives and Eringen’s nonlocal continuum theory to analyze thermoelastic interactions under thermal shock conditions. The study demonstrates the method’s effectiveness in predicting delayed responses, incorporating memory and nonlocality effects, and improving diffusion concentration, temperature, and stress for nanostructure design and engineering.