Measurements of stress-strain properties and residual stress in purpose-designed one and three-pass groove-weld specimens are used to optimise a mixed hardening constitutive model for simulating residual stresses in austenitic Type 316 stainless steel weldments. It is demonstrated that isotropic hardening over-predicts the tensile magnitude of welding residual stress in the benchmark specimens, while pure kinematic hardening gives an under-prediction of longitudinal stresses in parent material close to the weld. The most accurate predictions are those based on optimised mixed isotropic-kinematic formulations combined with a multi-pass moving heat source welding analysis.