Saint-Venant torsion based on strain gradient theory

Przemysław Podulka; Wojciech Macek

doi:10.1016/j.ijmecsci.2024.109069

Saint-Venant torsion based on strain gradient theory

Abstract

In this study, the Saint-Venant torsion problem based on strain gradient theory is developed. A total form of Mindlin's strain gradient theory is used to acquire a general Saint-Venant torsion problem of micro-bars formulation. A new Finite Element formulation based on strain gradient elasticity theory is presented to solve the Saint-Venant torsion problem of micro-bars. Moreover, the problem is solved for both micro and macro scale. In addition, six different cross sections in solid and hollow condition are considered, which the Saint-Venant torsion problem is solved on them. Torsional response of micro-bars is predicted by using the modified couple stress theory and the strain gradient theory of Aifantis which both of them employ only one length scale parameter. Some micro-bars with different cross-sectional area are investigated to show the performance of current study and conclusions are drawn from the micron-scale torsional feedback for micro-bars.

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Authors (2)

Przemysław Podulka
Wojciech Macek dr hab. inż.

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Keywords

BARS TORSION ELASTICITY STRAIN GRADIENT THEORY COUPLE STRESS THEORY FINITE ELEMENT METHOD

Details

Category:

Articles

Type:

artykuły w czasopismach

Published in:

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES no. 269,
ISSN: 0020-7403

Language:

English

Publication year:

2024

Bibliographic description:

Podulka P., Macek W.: Saint-Venant torsion based on strain gradient theory// INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES -Vol. 269, (2024), s.109069-

DOI: