Simulations on the Stress Evolution and Residual Stress in Precipitated Phase by Using the Phase Field Model

Microstructure formation and the stress evolution in the microstructure is simulated based on the coupling equations among the phase, temperature and stress/strain. Grain growth processes from some nuclei of the precipitated phase are simulated under three different conditions. Assuming volumetric dilatation in transformation to the precipitated phase, tensile and compressive stresses are generated at the interfacial region, and the distribution changes as the grain grows. The elasto-plastic model gives the residual stress distribution in the material, which is not able to be obtained by the elastic calculation. A grain-growth model with regularly disposed four nuclei demonstrates creation of residual stress zone along the grain boundaries. Another model with randomly distributed nuclei also gives the residual stress distribution along the grain boundaries, in which dependence of the stress on the size and shape are observed.