Analysis of Conical Indentation of an Elastic/Perfectly Plastic Half-Space by Nonlinear Finite Element Techniques.

摘要

A detailed analysis of the deformation and stress fields produced in an elastic/perfectly plastic half-space by a rigid conical indenter was performed using the elastic/plastic finite element code BOPAGE-3D. The analysis considers: the elastic deformation and stress fields with finite element results being compared to the closed-form solutions obtained by Sneddon, the elastic/plastic deformation and stress fields, and the residual deformation and stress fields which have not been analyzed to date. A special loaing technique was developed to find the residual solutions. The included goals of the rigid conical indenter was set to A = 136 deg to simulate a Vickers pyramidal indenter. Idealized sodaline glass was chosen as an elastic/perfectly plastic brittle material. Stresses obtained during the loading-unloading cycle near the elastic/plastic boundary were tranformed to the principal stresses and the residual principal stresses to allow analysis of median, radial and lateral crack initiation and propagation.