Theoretical Derivation and Analysis of the Stress Equation under the Local Yield State of Uniaxial Tension

In order to further study the influence of yield on the stress around the circle, we draw an infinite plate with a center hole uniaxially. When there appears the local Tresca condition yield in the vertical direction of the hole, we deduce the stress equation outside the yield circle theoretically, and analyze the applicability of the strain rosette size recommended in GB/T 31310—2014 standard of residual stress measurement by hole drilling strain-gauge method. The calculation results show that the strain rosettes recommended in GB/T 31310—2014 standard is suitable for the residual stress field measurement when the residual stress level is less than 0.974 times the yield strength of the tested material.