DOI

The paper compares analytical and numerical solutions for 2-D problems of an elastic body with a nanometer surface relief that arises on a free planar boundary of a solid and on a free surface of a nearly circular hole. Analytical results are based on simplified Gurtin - Murdoch's surface elasticity theory and first-order boundary perturbation procedure. Finite element method is used to get numerical results for both types of the periodic nanometer relief.

Original languageEnglish
Title of host publicationInternational Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2018
EditorsT.E. Simos, T.E. Simos, T.E. Simos, T.E. Simos, Ch. Tsitouras, T.E. Simos
PublisherAmerican Institute of Physics
ISBN (Electronic)9780735418547
ISBN (Print)9780735418547
DOIs
StatePublished - 24 Jul 2019
Event16th International Conference of Numerical Analysis and Applied Mathematics - Rhodos, Greece
Duration: 13 Sep 2018 → 18 Sep 2018

Publication series

NameAIP Conference Proceedings
Volume2116
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference16th International Conference of Numerical Analysis and Applied Mathematics
Abbreviated titleICNAAM 2018
Country/TerritoryGreece
CityRhodos
Period13/09/18 → 18/09/18

    Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics
  • Ecology
  • Plant Science
  • Physics and Astronomy(all)
  • Nature and Landscape Conservation

ID: 45910179