Applied Thermal Engineering, cilt.297, 2026 (SCI-Expanded, Scopus)
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coupled-field behavior in cylindrical geometries at the micro- and nanoscale, where classical continuum assumptions are no longer valid.