For the measurement of axisymmetric three-dimensional residual stresses, Sachs’ method is often used. The accuracy of this method is not high when even small errors are contained in observed strains. In 1975, the authors presented a new approach for the measurement of residual stresses in which inherent strains (the source of residual stresses) are dealt with as parameters and formulated a basic theory using the finite element method. In this paper, based on the new approach, a basic theory for the measurement of axisymmetric three-dimensional residual stresses is developed and a practical procedure of measurement is presented. This method is applied to determine the residual stresses in a quenched shaft and its reliability and practicability are also demonstrated.

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