主催: 日本学術会議 「機械工学委員会,土木工学・建築学委員会合同IUTAM分科会」
共催: 応用物理学会, 化学工学会, 自動車技術会, 地盤工学会, 土木学会, 日本応用数理学会, 日本風工学会, 日本機械学会, 日本気象学会, 日本計算工学会, 日本計算数理工学会, 日本建築学会, 日本原子力学会, 日本航空宇宙学会, 日本混相流学会, 日本材料学会, 日本地震工学会, 日本数学会, 日本船舶海洋工学会, 日本伝熱学会, 日本物理学会, 日本流体力学会, 日本レオロジー学会, 農業農村工学会
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.