A model for precipitation strengthening in multi-particle systems

In this work, we present a consistent model describing the increase of yield strength caused by precipitation of second phase particles. Shearing and non-shearing mechanisms are accounted for, depending on the coherency between precipitates and matrix. ysical key parameters entering the model are critically evaluated on basis of the dislocation line tension, free distance between two particles and precipitate radius. A set of equations is derived, which describes the yield strength increase due to the interaction between dislocations and precipitates. Based on coupling equations for the individual strengthening mechanisms, the model allows for a predictive simulation of the final yield strength caused by precipitation in multi-particle, multi-phase systems. With the aid of contemporary computational power, the enhanced strengthening equations deliver more accurate results compared to the conventional equations.