Mathematical models of boundary value problems in nanomechanics

DOI

https://doi.org/10.1063/1.4992351
Final published version

Mikhail A. Grekov

Mathematical models of boundary value problems of elasticity incorporating surface stress are reviewed. In the case of 2-D problems, the basic ideas and the complete set of equations are presented. It is shown singular and hypersingular integral equations which have been derived by solving some 2-D problems using complex potentials and boundary perturbation technique.

Original language	English
Title of host publication	International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016
Editors	Theodore E. Simos, Theodore E. Simos, Charalambos Tsitouras
Publisher	American Institute of Physics
ISBN (Electronic)	9780735415386
DOIs	https://doi.org/10.1063/1.4992351
State	Published - 21 Jul 2017
Event	International Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016 - Rhodes, Greece Duration: 19 Sep 2016 → 25 Sep 2016 http://icnaam.org/

Publication series

Name	AIP Conference Proceedings
Volume	1863
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	International Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016
Abbreviated title	ICNAAM 2016
Country/Territory	Greece
City	Rhodes
Period	19/09/16 → 25/09/16
Internet address	http://icnaam.org/

Scopus subject areas

Physics and Astronomy(all)

ID: 99497463