Nanomaterials 2026, 16(14), 852; https://doi.org/10.3390/nano16140852 - 10 Jul 2026
Abstract
The present research proposes a mathematical method to examine the combined impacts of thermal loading and nonlocal elasticity on the dynamic behavior of functionally graded (FG) nanobeams. A refined higher-order shear deformation theory is introduced, featuring an enhanced displacement field with integral unknowns
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The present research proposes a mathematical method to examine the combined impacts of thermal loading and nonlocal elasticity on the dynamic behavior of functionally graded (FG) nanobeams. A refined higher-order shear deformation theory is introduced, featuring an enhanced displacement field with integral unknowns and a hyperbolic thickness-dependent function to accurately capture transverse shear strains without shear correction constants. Temperature affects the material characteristics, which follow a power-law pattern as they rise through thickness. Using Hamilton’s principle, the study establishes and solves the governing equations analytically. The study discusses how thermal environment, material gradation, and nonlocality alter the dynamic response of FG nanobeams, providing important insights into their nanoscale thermomechanical behavior.
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(This article belongs to the Section Theory and Simulation of Nanostructures)
