One-dimensional axisymmetric advanced thermoelastic diffusion modeling for cylindrical structures using modified nonlocal thermo-diffusion model including thermal and diffusion length-scale parameters


Abouelregal A. E., Alsaeed S. S., Alshammari N. F., UZUN YAYLACI E., YAYLACI M.

Applied Thermal Engineering, cilt.297, 2026 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 297
  • Basım Tarihi: 2026
  • Doi Numarası: 10.1016/j.applthermaleng.2026.130798
  • Dergi Adı: Applied Thermal Engineering
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC, DIALNET
  • Anahtar Kelimeler: Cylindrical cavity, Laplace transform, Nonlocal thermal and diffusion length-scale parameters, Thermoelastic diffusion
  • Recep Tayyip Erdoğan Üniversitesi Adresli: Evet

Özet

This study presents a nonlocal thermoelastic-diffusion model for cylindrical structures that incorporates dual relaxation times and nonlocal length-scale parameters for both heat and mass diffusion. The primary objectives of this work are: (i) to extend the Lord–Shulman generalized thermoelasticity theory by simultaneously introducing nonlocal thermal and diffusion length-scale parameters; (ii) to formulate the coupled governing equations for an infinite elastic medium containing a cylindrical cavity subjected to time-dependent thermal and chemical loads applied to the cavity surface; (iii) to obtain analytical solutions in the Laplace domain and recover the time-domain responses by numerical inversion; and (iv) to systematically investigate the individual and combined effects of the nonlocal parameters on the evolution of temperature, displacement, stress, concentration, and chemical-potential fields. Owing to the inherent axial symmetry of the configuration, the problem reduces to a one-dimensional (axisymmetric) formulation in which all field variables depend only on the radial coordinate and time. This simplification captures the fundamental radial thermo-diffusive behavior near the cavity surface, while applications that involve axial variations—such as pipelines subjected to thermal buckling or rotating shafts with axial temperature gradients—would require a two-dimensional analysis. Numerical results for a copper-like material show that the nonlocal parameters markedly influence the magnitude, phase, and attenuation of all field variables; the model predicts faster wave decay and lower peak values than classical theories. By addressing these objectives, the study provides a rigorous theoretical foundation for understanding size-dependent, coupled-field behavior in cylindrical geometries at the micro- and nanoscale, where classical continuum assumptions are no longer valid.