Effect of surface elasticity on extensional and torsional stiffnesses of isotropic circular nanorods

DOI10.1177/1081286517753719zbMath1425.74260OpenAlexW2791156411WikidataQ59744531 ScholiaQ59744531MaRDI QIDQ5244326

Ajeet Kumar, Prakhar Gupta

Publication date: 20 November 2019

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286517753719

zbMATH Keywords

isotropysurface elasticityCauchy-Born rulenanorodsurface residual stress

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Micromechanics of solids (74M25) Elastic materials (74B99)

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Cites Work

• A helical Cauchy-Born rule for special Cosserat rod modeling of nano and continuum rods
• Curvature-dependent surface energy and implications for nanostructures
• Effect of material nonlinearity on spatial buckling of nanorods and nanotubes
• Surface effects in non-uniform nanobeams: continuum vs. atomistic modeling
• A continuum theory of elastic material surfaces
• Size-dependent rigidities of nanosized torsional elements.
• Mind the gap: the shape of the free surface of a rubber-like material in proximity to a rigid contactor
• Plane deformations of elastic solids with intrinsic boundary elasticity
• A surface Cauchy–Born model for nanoscale materials

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