Research output: Chapter in Book/Report/Conference proceeding › Article in an anthology › Research
A circular hole in an elastic material at the nanoscale. / Греков, М.А.; Морозов, Н.Ф.; Язовская, А.А.
Topical Problems in Solids and Fluid Mechanics. ELITE PUBLISHING HOUSE PVT.LTD., 2011. p. 12-18.Research output: Chapter in Book/Report/Conference proceeding › Article in an anthology › Research
}
TY - CHAP
T1 - A circular hole in an elastic material at the nanoscale
AU - Греков, М.А.
AU - Морозов, Н.Ф.
AU - Язовская, А.А.
PY - 2011
Y1 - 2011
N2 - A boundary value problem on a circular nanometer hole in an elastic plane under remote loading is considered. It is assumed that complementary surface stresses are applied at the boundary of the hole. Based on Kolosov-Muskhelishvili's method, the solution of the problem is reduced to a singular integro-differential equation in an unknown surface stress. A solution to the obtained equation derived in an explicit form shows that, due to an action 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 under remote loading is considered. It is assumed that complementary surface stresses are applied at the boundary of the hole. Based on Kolosov-Muskhelishvili's method, the solution of the problem is reduced to a singular integro-differential equation in an unknown surface stress. A solution to the obtained equation derived in an explicit form shows that, due to an action 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 - Kirsch problem
KW - surface stress
KW - singular integro-differential equation
KW - stress concentration
M3 - Article in an anthology
SN - 8188901431
SP - 12
EP - 18
BT - Topical Problems in Solids and Fluid Mechanics
PB - ELITE PUBLISHING HOUSE PVT.LTD.
ER -
ID: 4455336