Mathematical Modeling of Phase Transformations and Residual Stress in A Thermomechanical Heat Treatment in AISI 1045 Steel By FEM

Abstract Materials with high mechanical characteristics are ideal for many applications primarily in the automotive industry like the TRIP (Transformation Induced Plasticity) steel, but its high cost to determine their properties limit their study, for this reason the mathematical and computational modeling have emerged as a possibility of analysis and study of the properties of the material. One of these techniques is the micromodeling mathematical analysis using a representative elementary volume (RVE), used for the determination of residual stresses through programmed into the APDL of ANSYS ® software. Previous research has taken commercial DP steels (Dual Phase) or steels with high percentage of alloying elements, there is no evidence of studies in medium carbon steels treated from intercritical temperatures. The finite element method (FEM) has been a tool used in predicting the behavior of steel for his accuracy in the results. In this research the mathematical modeling that was done to a thermomechanical treatment in AISI 1045 steel, through the MEF is displayed. As initial results experimental data were taken to evaluate the convergence of the results. In determining percentages of  microstructures we use  JMARK equations, which were implemented in the MATLAB software. The elastic and plastic properties were taken from references to be used in a plastic bilinear model analysis. The effects of the simulations show the percentages of microstuctures that were to be found after the thermomechanical treatment. The results of this study show the accuracy between the experimental and the simulated results.

Keywords Mathematical Modeling, AISI 1045 steel, thermomechanical treatment, FEM, residual stress

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