Materials Science Forum, Vol.347-3, 161-165, 2000
X-ray stress tensor analysis in a notch with 2 circles omega goniometer
X-ray tenser analysis requires diffraction acquisition in several directions described by two angles phi and psi. These are usually achieved by chi (psi) and omega settings on a 3 or 4 circles goniometer. In the case of a deep notch, problems of shadowing may occur, particularly with omega setting. To overcome this, we kept the diffraction plane parallel to the axis of the notch. The measurement direction was defined by two angles : the omega rotation of the goniometer and alpha. With the assumption of homogeneous stress state along the circumference, a was obtained by a translation of the part parallel to the omega axis. The classical relations between the measured strain and the stress tenser components was reformulated using directly the two angles alpha and omega. The influence of goniometer alignment and part positioning was analysed through an experiment design. Systematic errors due to the interactions of the incident beam with the surface of the notch were modelised. This method was applied to a toric groove in a quenched steel forming tool. Compressive residual stresses of -520 MPa and -980 MPa were found in the axial and hoop directions respectively.