Modified Nonlocal Strain Gradient Elasticity for Nano-Rods and Application to Carbon Nanotubes (CROSBI ID 263639)
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Podaci o odgovornosti
Barretta, Raffaele ; Čanađija, Marko ; Marotti de Sciarra, Francesco
engleski
Modified Nonlocal Strain Gradient Elasticity for Nano-Rods and Application to Carbon Nanotubes
Nowadays, the modified nonlocal strain gradient theory provides a mathematically well-posed and technically reliable methodology to assess scale effects in inflected nano-structures. Such an approach is extended in this paper to investigate the extensional behavior of nano-rods. The considered integral elasticity model, involving axial force and strain fields, is conveniently shown to be equivalent to a nonlocal differential problem equipped with constitutive boundary conditions. Unlike treatments in the literature, no higher-order boundary conditions are required to close the nonlocal problem. Closed-form solutions of elastic nano-rods under selected loadings and kinematic boundary conditions are provided. As an innovative implication, Young’s moduli of Single-Walled Carbon Nanotubes (SWCNT) weare assessed and compared with predictions of Molecular Dynamics (MD). New benchmarks for numerical analyses were also detected.
integral elasticity ; modified nonlocal strain gradient elasticity ; constitutive boundary conditions ; higher-order boundary condition ; nano-rods ; carbon nanotubes ; young modulus
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Podaci o izdanju
Povezanost rada
Interdisciplinarne tehničke znanosti, Strojarstvo, Temeljne tehničke znanosti