INFINITE ELASTIC LAYER UNDER AXISYMMETRIC SURFACE LOADS AND INFLUENCE OF SURFACE STRESS EFFECTS

抄録

A solution for an infinite, elastic layer under axisymmetric surface loads including the influence of surface stresses is presented. The classical theory of linear elasticity and the complete Gurtin-Murdoch constitutive relation are adopted to formulate the boundary value problem associated with the bulk layer and the surface. Solutions are obtained by using Love’s representation technique, Hankel integral transform, and a selected numerical quadrature. In addition to results obtained for general surface loading and a full discussion on the size dependent behavior, Green’s functions for some special cases (e.g., point load, normal ring load, and tangential ring load) are deduced. Such results are fundamental for the development of boundary integral equations governing other related problems, e.g., nano-indentations.