Mathematical Models of Boundary Value Problems in Nanomechanics

被引：2
|
作者：
Grekov, Mikhail A. [1 ]
机构：
[1] St Petersburg State Univ, 7-9 Univ Skaya Nab, St Petersburg 199034, Russia
来源：
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2016 (ICNAAM-2016) | 2017年 / 1863卷
基金：
俄罗斯基础研究基金会;
关键词：
SURFACE STRESS; NANO-INHOMOGENEITIES; ELASTICITY;
D O I：
10.1063/1.4992351
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页数：4
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