Analytical Solution for Circular Microbeams with Strain Gradient Elasticity

被引：0

作者：

Aung, Zwe Yan ^{[1
]}

Vo, Duy ^{[1
]}

Le, Toan Minh ^{[1
]}

Rungamornrat, Jaroon ^{[1
]}

机构：

[1] Chulalongkorn Univ, Dept Civil Engn, Ctr Excellence Appl Mech & Struct, Fac Engn, Bangkok 10330, Thailand

来源：

PROCEEDINGS OF THE 17TH EAST ASIAN-PACIFIC CONFERENCE ON STRUCTURAL ENGINEERING AND CONSTRUCTION, EASEC-17 2022 | 2023年 / 302卷

关键词：

Circular microbeams; Strain gradient elasticity; Timoshenko-Ehrenfest beam theory; Analytical solutions; Influence of curviness; ISOGEOMETRIC ANALYSIS; FORMULATIONS; THICK;

D O I：

10.1007/978-981-19-7331-4_71

中图分类号：

TU [建筑科学];

学科分类号：

0813 ;

摘要：

In the analysis of skeletal structures, circular beams are widely studied since their simple geometry allows the derivation of analytical solutions which are useful tools to assess the accuracy and efficiency of numerical ones. With such feature, the present study aims mainly to establish the key governing equations, boundary conditions, and corresponding analytical solutions of circular microbeams within the framework of strain gradient elasticity and TimoshenkoEhrenfest beam theories. It isworth highlighting that the curviness is also included in the formulation, and its influence on the predicted responses is explored. A solution procedure is implemented to establish the analytical solutions for general loading and boundary conditions. A representative semi-circular beam is subsequently analyzed with the adopted procedure, and a selected set of results is reported to illustrate the effects of the curviness.

引用

页码：860 / 872

页数：13

共 15 条

[1]

Altan B. S., 1997, J MECH BEHAV MATER, V8, P231, DOI DOI 10.1515/JMBM.1997.8.3.231

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