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The last fifteen years have seen the development of ever more refined high-strength and multiphase steels with purpose-designed chemical compositions allowing for significant weight reduction, e.g., in automotive industry. The production of these modern steel grades requires an improved and optimised process control, which may be achieved by quantitative mathematical modelling, simulation and optimisation of the complex thermal cycles and thermal gradients experienced by the processed material. Such models require an understanding of the behaviour of the materials from a materials science and phase transformations perspective.