Two Approaches to Study Stress Concentration and Distribution in an Elastic Body with a Nearly Circular Nanohole

被引：1
|
作者：
Vakaeva, Aleksandra B. [1 ]
Shuvalov, Gleb M. [1 ]
Kostyrko, Sergey A. [1 ]
机构：
[1] St Petersburg State Univ, 7-9 Univ Skaya Nab, St Petersburg 199034, Russia
来源：
INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2019 | 2020年 / 2293卷
基金：
俄罗斯科学基金会;
关键词：
D O I：
10.1063/5.0026622
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we discuss two approaches to study the stress concentration and distribution around a cylindrical nanohole with undulated surface profile based on the first-order boundary perturbation technique and finite element method, respectively. To describe the effect of surface elasticity, the simplified formulation of Gurtin - Murdoch model neglecting the surface tension is used. Taking into account the plane strain conditions, the corresponding boundary value problem is formulated for a 2-D infinite domain with a nearly circular hole. The detailed numerical investigations are given to compare the first-order boundary perturbation and finite element solutions.
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