Surface Effects and Small-Scale Impacts on the Bending and Buckling of Nanowires Using Various Nonlocal HSDTs
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Abstract
This paper presents the bending and buckling analyses of simply supported nanowires using various classical and nonclassical higher-order shear deformation theories (HSDTs). A one-dimensional structure is modeled with including the surface effects based on the Gurtin–Murdoch surface elasticity theory (nonclassical beam theory) and the small-scale effect based on the Eringen nonlocal theory (nonlocal beam theory); the transverse displacement is divided into two bending and shear components. A system of governing equations is derived with the help of the minimum total potential energy principle and resolved via Navier’s solutions. Several numerical results are presented and compared with those given in the literature. The results showed that the influence of the surface effects on the bending and buckling load of nanowires is more pronounced than that of the nonlocal parameter.
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OpenAlex topics: Nonlocal and gradient elasticity in micro/nano structures · Numerical methods in engineering · Composite Structure Analysis and Optimization
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References (60)
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