Author:
Gandilyan D.V.,Ustinov K.B.
Abstract
Abstract
The problem of two equal holes in a plane under uniform comprehensive tension is considered with accounting effects of surface elasticity. The problem is solved in the approximation of plane strain by using bipolar coordinates and series expansion. The problem may be of interest for the case of rather close holes. In this case, despite rather simple geometry, rather strong effects of the difference between surface and volumetric properties may be expected due to small distance between holes.
Subject
General Physics and Astronomy
Reference12 articles.
1. The effect of surface elasticity and residual surface tension in an elastic body with an elliptical nanohole;Grekov;J. Appl. Math. Mech.,2014
2. Model of film coating with weakly curved surface;Vikulina;Mechanics of Solids,2010
3. Eshelby formalism for nanoinhomogeneities it;Duan;Proc. Roy. Soc. L., A.,2005
4. Effect of residual surface stress and surface elasticity on deformation of nanometer spherical inclusions in an elastic matrix;Goldstein;Phys. Mesomech.,2010
5. On the effect of surface residual stresses and surface elasticity on the deformation of spherical inclusions of nanometer sizes in an elastic matrix;Ustinov;Vestnik of Lobachevsky University of Nizhni Novgorod,2011