Torsion of an elastic medium containing a nanosized penny-shaped crack with surface effects

Theoretical and experimental studies have revealed that at small length scales, surface effects contribute significantly to overall elastic deformation. In this paper, we analyze a torsional problem for a nanosized penny-shaped crack in an infinite homogeneous isotropic elastic medium with surface elasticity on the boundary of the crack. The resulting model of deformation leads to a nonclassical mixed boundary value problem which is analyzed...