# A Method to Estimate Residual Stress in Austenitic Stainless Steel Using a Microindentation Test

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## Abstract

This study proposed a method to evaluate the residual stress and plastic strain of an austenitic stainless steel using a microindentation test. The austenitic stainless steel SUS316L obeys the Ludwick’s work hardening law and is subjected to in-plane equi-biaxial residual stress. A numerical experiment with the finite element method (FEM) was carried out to simulate an indentation test for SUS316L having various plastic strains (pre-strains) and residual stresses. It was found that the indentation force increased with increasing pre-strain as well as with compressive residual stress. Next, a parametric FEM study by changing both residual stress σ_{res} and pre-strain ε_{pre} was conducted to deduce the relationship between the indentation curve and the parameters ε_{pre} and σ_{res} (which were employed for the FEM study). This relationship can be expressed by a dimensionless function with simple formulae. Thus, the present method can estimate both ε_{pre} and σ_{res}, when a single indentation test is applied to SUS316L.

## Keywords

austenitic stainless steel indentation test pre-strain residual stress reverse analysis## Notes

### Acknowledgments

The work of A.Y. was supported by JSPS KAKENHI (Grant No. 26420025) from the Japan Society for the Promotion of Science (JSPS). The work of X.C. was supported by the National Natural Science Foundation of China (11172231 and 11372241), AFOSR (FA9550-12-1-0159), and DARPA (W91CRB-11-C-0112).

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