A study of the residual stress induced by shot peening for an isotropic material based on Prager’s yield criterion for combined stresses

Abstract

Prager developed a yield criterion for a generalized isotropic material that is more capable of predicting material behavior that occurs from combined loading. A less studied topic is the effect of combined loading on the residual stress state. The purpose of the present work is to develop a theoretical model for a residual stress based on Prager's relation and establish how the predictions are influenced. Prager's yield criterion which includes the third deviatoric invariant, J3, provides a way to estimate the influence J3 has on the residual stress. The analyzed residual stress originates from shot peening because much experimental data exists to compare and validate the theoretical results.