Refinement to: “Buckling of a nano‐rod with taken into account of surface effect”

Abstract A refinement of the previously constructed models of bending of the Timoshenko and Euler–Bernoulli nano‐rod with taking into account the Steigmann–Ogden surface elasticity is considered. This refinement increases the coefficient of the lower derivative of the deflection in the bending equation by 50%, which can significantly affect the size effect. Updated results of modeling of buckling of a simply supported nano‐rod and a nano‐cantilever under its own weight.

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Publication Details

Journal
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
Published
2025-05-01
DOI
https://doi.org/10.1002/zamm.70091
Primary Topic
Nonlocal and gradient elasticity in micro/nano structures
Type
article
Field-Weighted Citation Impact
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article

Refinement to: “Buckling of a nano‐rod with taken into account of surface effect”

А. О. Бочкарев
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
Nonlocal and gradient elasticity in micro/nano structures
article

Refinement to: “Buckling of a nano‐rod with taken into account of surface effect”

А. О. Бочкарев
article en

Abstract

Abstract A refinement of the previously constructed models of bending of the Timoshenko and Euler–Bernoulli nano‐rod with taking into account the Steigmann–Ogden surface elasticity is considered. This refinement increases the coefficient of the lower derivative of the deflection in the bending equation by 50%, which can significantly affect the size effect. Updated results of modeling of buckling of a simply supported nano‐rod and a nano‐cantilever under its own weight.

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und MechanikVol. 105(5)
St Petersburg University (RU)
Openalex Percentile: Top 92%
Nonlocal and gradient elasticity in micro/nano structures
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