Abstract
The finite element method was applied to formulate the elastic-plastic analysis of quenching involving the transformation by taking considerations of the dependence of thermal expansion coefficient on both the temperature and the cooling rate.The stress-strain incremental relation including the term due to quenching was deduced and then used to obtain the equilibrium equation capable of representing the effect of the transformation.As an example of the formulated theory, the numerical calculation was carried out for 0.43% C carbon steel circular bar with 60mm diameter during water-quenching. The calculated residual stresses agreed well with the experimental values measured by Sachs' boring-out technique.
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