INVERSE RESOLUTION OF THE HEAT-TRANSFER EQUATION WITH INTERNAL HEAT-SOURCE - APPLICATION TO THE QUENCHING OF STEELS WITH PHASE-TRANSFORMATIONS

A method is described for calculating the time dependence of the tempe rature and heat flux (on heating and fooling) at the surface of a soli d body, For a given ambient temperature and a known time-temperature f unction of an interior point, the surface hear flux is computed throug h an inverse conduction algorithm taking into account the nonlinear na ture of the problem, Moreover, this algorithm includes the enthalpy of phase transformations. The influence of space and time steps on inver se calculations (precision, stability) is investigated, The method is then applied to thermal cases involving different transformations in s teels.