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.

引用

页数：4

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