A Straightforward Approach to Eringen's Nonlocal Elasticity Stress Model and Applications for Nanobeams

被引：4
|
作者：
Koutsoumaris, C. Chr. [1 ]
Eptaimeros, K. G. [1 ]
Zisis, T. [1 ]
Tsamasphyros, G. J. [1 ]
机构：
[1] Natl Tech Univ Athens, Sch Appl Math & Phys Sci, 5 Iroon Polytechniou Str Zografou, GR-15773 Zografos, Greece
来源：
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2016 (ICCMSE-2016) | 2016年 / 1790卷
关键词：
Nonlocal Elasticity; Integral Equations; Euler -Bernoulli Beam Theory; Nanobeam; MECHANICS; DAMAGE;
D O I：
10.1063/1.4968757
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
The nonlocal theory of elasticity is widely employed to the study of nanoscale problems. The differential approach of Eringen's nonlocal beam theory has been widely used to solve problems whose size effect is substantial in structures. However, in the case of Euler-Bernoulli beam theory (EBBT), this approach reveals inconsistencies that do not allow for the energy functional formulation. To avoid these inconsistencies, an alternative route is to use the integral form of nonlocal elasticity. This study revolves around the nonlocal integral beam model for various attenuation functions with the intention to explore the static response of a beam (or a nanobeam) for different types of loadings and boundary conditions (BC).
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页数：4
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