In practice of industry, the problems coupled by thermal and stress can be usually met. Laser quenching process is one of them, in which the phase transformation must be considered. Setting up a system of proper mathematical models and numerical analysis is important to discuss the course quantitatively. In our research, based on laser quenching temperature control equation, applying thermal elastoplastic constitute equation coupled with phase transformation, the stress distribution of laser quenching has been calculated. Using the material parameters, which are varied with temperature, the transient stresses and residual stresses of laser quenching of 45" steel semi-infinite plate has been predicted, the data coincide the experimental.
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