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MATHEMATICAL MODELING AND COMPUTER SIMULATION OF STEEL QUENCHING

The mathematical modelling and computer simulation of quenching of steel were studied. After that, the mathematical model for steel quenching is established and computer software is developed, based on a theoretical analysis of physical processes which exist in quenching systems. The mathematical model of steel quenching consists of physical phenomena such as heat transfer, phase transformations, mechanical behaviours, and generation of stresses and distortions. The numerical procedure of steel quenching is divided in three parts: numerical calculation of transient temperature field, numerical calculation of phase change and numerical calculation mechanical behaviours of steel during the quenching. The numerical procedure is based on a finite volume method. Physical properties that were included in the model, such as heat conductivity coefficient, heat capacity and surface heat transfer coefficient were obtained by the original inversion method based on the finite volume method. 3D situation problems such as the quenching of complex cylinders, cones, spheres, etc., can be simulated by an established model. The model of steel quenching was successfully applied in the practical usage of quenching.

computer simulation, quenching, microstructure composition, mechanical properties, residual stresses, distortions.

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