The article titled “Static Analysis of Functionally Graded Nanobeams Based on Euler–Bernoulli and Timoshenko Theories via Complementary Functions Method,” co-authored by Department Chair Asst. Prof. Ahmad Reshad NOORI and his PhD student Ahmed Mohammad Wasfi ALHASAN, has been published.
The study examines the static behavior of functionally graded nanobeams using the Euler–Bernoulli and Timoshenko beam theories. The canonical governing equations for both theories were derived for the first time and solved through the Complementary Functions Method (CFM).
Transverse deflections were obtained for various material gradient indices, nonlocal parameters, slenderness ratios, and boundary conditions. Benchmark comparisons validated the proposed model, and new numerical results were provided for cantilever and clamped-supported beams. The findings indicate that increased nonlocality and material gradation amplify deflections, particularly in thick beams where shear deformation becomes significant.
This research demonstrates the capability of the CFM in accurately capturing scale-dependent mechanics, offering a reliable computational framework for the advanced design of nanoscale beams. The department congratulates Asst. Prof. Ahmad Reshad NOORI and Ahmed Mohammad Wasfi ALHASAN for their successful contribution.
