Elastic solutions of axisymmetrically loaded half-space with surface and couple stress effects

Abstract

Elastic solutions of axisymmetrically loaded half-space with surface and couple stress effects are established. The governing equations are formulated within the framework of surface elasticity and couple stress theories. The bulk general solution obtained from the potential theory and Hankel integral transform is combined with nonclassical boundary conditions to determine the solution of the surface–bulk system. Simulations are conducted for a wide range of external and internal length scales. The obtained results confirm the crucial role of couple and surface stresses on the behavior and size dependency of elastic response as the external and internal length scales are comparable.