Optimization of Volume Damageability of the Half-Space Loaded by Elliptically Distributed Contact Pressure and Non-Contact Stresses

Abstract

The paper considers numerical and analytical modeling of the stress-strain state and the state of volume damageability of a half-space under its simultaneous loading by elliptically distributed load directed along the normal to the surface axis and non-contact extension/compression along one of the coordinate axes parallel to the surface. The dependence of the values of dangerous volumes and integral damageability on the number of boundary elements on the surface of a half-space and on the number of elementary volumes in the three-dimensional computational domain is shown. The ratios of maximum contact pressure and non-contact stresses are obtained at which the values of dangerous volumes are minimal.

Keywords

• tribo-fatigue
• boundary element method
• numerical and analytical modeling
• stress-strain state
• volume damageability