Explicit Expression of Stresses Field in Semi-Infinite Elastic Solid

Abstract

Semi-infinite elastic solid is a classical mechanics subject. Recently, the subject has been researched on various ways. Under different loading conditions, various solutions were given by researchers. But their results are more complicated and expressed in implicit equations. Due to the limitations of their results, the explicit function of stresses filed at given conditions is given by the use of numerical analytical method, 3D finite-element method and 3D fitting equation software. The applicability of the proposed approach has been verified by the use of Boussinesq’s solution. The result shows that the proposed approach presented in this paper can not only be applied to deal with semi-infinite elastic solid subject, but also be suitable for damage evaluation and life prediction of semi-infinite elastic solid under special conditions.