Effect of surface stresses in an elastic body with a curvilinear nanohole

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Abstract

The plane problem for an elastic body containing a curvilinear defect under arbitrary remote loading is considered. The complementary surface stresses are acting at the boundary of the nanohole. It is assumed that a shape of the hole is weakly deviated from the circular one. Conditions at the boundary are formulated according to the generalized Laplace - Young equations. Using Gurtin - Murdoch surface elasticity model and Goursat - Kolosov complex potentials, the solution of the problem is sought by the boundary perturbation technique. For any-order approximation, singular integro-differential equation is derived. The algorithm of solving this equation is constructed. This solution and corresponding complex potentials for computing stresses are obtained for zero-order approximation and the effect of surface stresses is presented.
Original languageEnglish
Title of host publication"Stability and Control Processes" in Memory of V.I. Zubov (SCP), 2015 International Conference
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages440-443
ISBN (Print)9781467376983
DOIs
StatePublished - 2015

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