Numerical investigation of shakedown residual stresses under moving surface loads

[Abstract]: In his 'Contact Mechanics' book, Professor K. L. Johnson described an analytical lower bound shakedown approach to predict the shakedown load limit and the associated residual stress distribution of a continuum under repeated moving surface loads. Based on Bleich-Melan shakedown theorem, this problem will be revisited in this paper using finite element techniques and mathematical programming. Numerical results are presented in a form of dimensionless shakedown limits and the associated residual stress distributions are investigated for both rolling and sliding cases. The current numerical procedure can be used to solve for the shakedown limit load and the associated developed residual stresses of complex structures subjected to repeated moving surface loads