CASE STUDIES IN THERMAL ENGINEERING, cilt.77, 2026 (SCI-Expanded, Scopus)
This study investigates the fractal nonlocal thermoelastic behavior of porous Euler-Bernoulli nanobeams used as nanoscale mass sensors under blast loads. The nanobeam is modeled as a fractal continuum with a product-based fractal measure defined by the fractal dimension alpha, incorporating Klein-Gordon-type nonlocal elasticity to capture long-range interactions. Bernstein polynomials, applied through the Rayleigh-Ritz technique, transform the governing equations into a generalized eigenvalue problem. The eigenvalue problem is solved numerically in MAT-LAB, with solution accuracy verified through polynomial refinement and comparison with the classical Euler-Bernoulli beam model. The model evaluates the influence of porosity, boundary conditions, scaling, nonlocal, and thermal parameters on nondimensional frequency, normal stress, and displacement. Furthermore, the study highlights the significance of thermoelastic coupling in nanobeams subjected to temperature gradients and heat-shock environments, where transient thermal stresses interact with mechanical vibrations. These findings are directly relevant to thermal engineering applications, such as nanoresonators and mass sensors operating in fluctuating thermal fields, where efficient heat dissipation and thermal stability are critical for reliable performance. The proposed approach provides a reliable computational framework for analyzing coupled thermal-mechanical effects in porous nanobeams, supporting the optimal design of nanoresonators and mass sensors for thermal engineering applications.