Elastic response of surface-loaded half plane with influence of surface and couple stresses

This paper presents the elastic response of a surface-loaded half plane accounting for the simultaneous influence of surface and couple stresses. The underlying mathematical models for the bulk and the surface material are formulated, respectively, from the couple-stress and Gurtin-Murdoch surface-elasticity theories. A general solution for the elastic field within the bulk is derived in a closed form via the method of Fourier integral...