### Abstract

Original language | English |
---|---|

Pages (from-to) | 153-161 |

Journal | International Journal of Solids and Structures |

Volume | 96 |

DOIs | |

Publication status | Published - 2016 |

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**Surface effects in an elastic solid with nanosized surface asperities.** / Grekov, M.A.; Kostyrko, S.A.

Research output

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 -