Research output: Contribution to journal › Article
Effect of surface stress on strength of a plate with elliptical and triangular nanoscale holes. / Grekov, M.; Morozov, N.; Yazovskaya, A.
In: Procedia Materials Science, Vol. 3, 2014, p. 1669-1674.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Effect of surface stress on strength of a plate with elliptical and triangular nanoscale holes.
AU - Grekov, M.
AU - Morozov, N.
AU - Yazovskaya, A.
PY - 2014
Y1 - 2014
N2 - The 2D problem on an arbitrary nanohole in an infinite elastic body under remote loading is solved. It is assumed that complementary surface stress is acting at the boundary of the hole. Corresponding boundary conditions are formulated according to the generalized Young-Laplace equations. The Gurtin–Murdoch surface elasticity model is applied to take into account the surface stress effect. Based on Goursat–Kolosov complex potentials and Muskhelishvili’s technique and using conformal mapping of the outside of the hole on the outside of the circle, the solution of the problem is reduced to a singular integro-differential equation in an unknown surface stress. For a nearly circular hole, the boundary perturbation method is used that leads to successive solutions of hypersingular integral equations. In the case of elliptical and triangular holes, these equations are solved for the first-order approximation and corresponding expressions for stresses are derived in an explicit form. The influence of the surface st
AB - The 2D problem on an arbitrary nanohole in an infinite elastic body under remote loading is solved. It is assumed that complementary surface stress is acting at the boundary of the hole. Corresponding boundary conditions are formulated according to the generalized Young-Laplace equations. The Gurtin–Murdoch surface elasticity model is applied to take into account the surface stress effect. Based on Goursat–Kolosov complex potentials and Muskhelishvili’s technique and using conformal mapping of the outside of the hole on the outside of the circle, the solution of the problem is reduced to a singular integro-differential equation in an unknown surface stress. For a nearly circular hole, the boundary perturbation method is used that leads to successive solutions of hypersingular integral equations. In the case of elliptical and triangular holes, these equations are solved for the first-order approximation and corresponding expressions for stresses are derived in an explicit form. The influence of the surface st
KW - Nanohole
KW - surface stress
KW - hypersingular integral equation
KW - stress concentration
U2 - 10.1016/j.mspro.2014.06.269
DO - 10.1016/j.mspro.2014.06.269
M3 - Article
VL - 3
SP - 1669
EP - 1674
JO - Procedia Materials Science
JF - Procedia Materials Science
SN - 2211-8128
ER -
ID: 5703875