Результаты исследований: Научные публикации в периодических изданиях › статья
Surface effects in an elastic solid with nanosized surface asperities. / Grekov, M.A.; Kostyrko, S.A.
в: International Journal of Solids and Structures, Том 96, 2016, стр. 153-161.Результаты исследований: Научные публикации в периодических изданиях › статья
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TY - JOUR
T1 - Surface effects in an elastic solid with nanosized surface asperities
AU - Grekov, M.A.
AU - Kostyrko, S.A.
PY - 2016
Y1 - 2016
N2 - The effects of surface elasticity and surface tension on the stress field near nanosized surface asperities having at least one dimension in the range 1–100 nm is investigated. The general two-dimensional prob- lem for an isotropic stressed solid with an arbitrary roughened surface at the nanoscale is considered. The bulk material is idealized as an elastic semi-infinite continuum. In accordance with the Gurtin–Murdoch model, the surface is represented as a coherently bonded elastic membrane. The surface properties are characterized by the residual surface stress (surface tension) and the surface Lame constants, which dif- fer from those of the bulk. The boundary conditions at the curved surface are described by the general- ized Young–Laplace equation. Using a specific approach to the boundary perturbation technique, Goursat–Kolosov complex potentials, and Muskhelishvili representations, the boundary value problem is reduced to the solution of a hypersingular integral equation. Based on the first-order appro
AB - The effects of surface elasticity and surface tension on the stress field near nanosized surface asperities having at least one dimension in the range 1–100 nm is investigated. The general two-dimensional prob- lem for an isotropic stressed solid with an arbitrary roughened surface at the nanoscale is considered. The bulk material is idealized as an elastic semi-infinite continuum. In accordance with the Gurtin–Murdoch model, the surface is represented as a coherently bonded elastic membrane. The surface properties are characterized by the residual surface stress (surface tension) and the surface Lame constants, which dif- fer from those of the bulk. The boundary conditions at the curved surface are described by the general- ized Young–Laplace equation. Using a specific approach to the boundary perturbation technique, Goursat–Kolosov complex potentials, and Muskhelishvili representations, the boundary value problem is reduced to the solution of a hypersingular integral equation. Based on the first-order appro
KW - Surface asperities
KW - Surface stress
KW - Surface tension
KW - Stress concentration
KW - Size effect
U2 - 10.1016/j.ijsolstr.2016.06.013
DO - 10.1016/j.ijsolstr.2016.06.013
M3 - Article
VL - 96
SP - 153
EP - 161
JO - International Journal of Solids and Structures
JF - International Journal of Solids and Structures
SN - 0020-7683
ER -
ID: 7577144