TY - JOUR

T1 - Surface effects and problems of nanomechanics.

AU - Греков, М.А.

AU - Морозов, Н.Ф.

PY - 2012

Y1 - 2012

N2 - A boundary value problem on a circular nanometer hole in an elastic plane loaded at the boundary and infinity is solved. It is assumed that complementary surface stresses are acting at the boundary of the hole. Based on Goursat-Kolosov’s complex potentials and-Muskhelishvili’s technique, the solution of the problem is reduced to a hypersingular integral equation in an unknown surface stress. The solution of the problem shows that, due to an existence of the surface stresses, the stress concentration at the boundary depends on the elastic properties of a surface and bulk material, and also on the radius of the hole.

AB - A boundary value problem on a circular nanometer hole in an elastic plane loaded at the boundary and infinity is solved. It is assumed that complementary surface stresses are acting at the boundary of the hole. Based on Goursat-Kolosov’s complex potentials and-Muskhelishvili’s technique, the solution of the problem is reduced to a hypersingular integral equation in an unknown surface stress. The solution of the problem shows that, due to an existence of the surface stresses, the stress concentration at the boundary depends on the elastic properties of a surface and bulk material, and also on the radius of the hole.

KW - nanometer circular hole

KW - surface stress

KW - hypersingular integral equation

KW - stress concentration

U2 - 1001-5132 (2012) 01-0060-04

DO - 1001-5132 (2012) 01-0060-04

M3 - Article

VL - 25

SP - 60

EP - 63

JO - Ningbo Daxue xuebao

JF - Ningbo Daxue xuebao

SN - 1001-5132

IS - 1

ER -