RT journal article T1 Steel heat treating: Mathematical modelling and numerical simulation of a problem arising in the automotive industry A1 Díaz Moreno, José Manuel A1 García Vázquez, Concepción A1 González Montesinos, María Teresa A1 Ortegón Gallego, Francisco A1 Viglialoro, Giuseppe A2 Matemáticas K1 Steel hardening K1 Phase transitions K1 Potential Maxwell equations K1 Numerical Simulations K1 Finite Element Methods AB We describe a mathematical model for the industrial heating and cooling processes of a steel workpiece representing the steering rack of an automobile. The goal of steel heat treating is to provide a hardened surface on critical parts of the workpiece while keeping the rest soft and ductile in order to reduce fatigue. The high hardness is due to the phase transformation of steel accompanying the rapid cooling. This work takes into account both heating-cooling stage and viscoplastic model. Once the general mathematical formulation is derived, we can perform some numerical simulations. PB ASTES Publishers SN 2415-6698 YR 2017 FD 2017 LK http://hdl.handle.net/10498/36477 UL http://hdl.handle.net/10498/36477 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 11-nov-2026