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.

Original languageEnglish
Title of host publicationInternational Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2019
EditorsTheodore E. Simos, Charalambos Tsitouras
PublisherAmerican Institute of Physics
ISBN (Electronic)9780735440258
Publication statusPublished - 24 Nov 2020
EventInternational Conference on Numerical Analysis and Applied Mathematics 2019, ICNAAM 2019 - Rhodes
Duration: 23 Sep 201928 Sep 2019

Publication series

NameAIP Conference Proceedings
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616


ConferenceInternational Conference on Numerical Analysis and Applied Mathematics 2019, ICNAAM 2019

Scopus subject areas

  • Physics and Astronomy(all)

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