Abstract
One-dimensional (1D) model of an axisymmetric unsteady state industrial quenched boron steel 50B46H bar based on finite element method (FEM) has been applied to investigate the influence of process history on its material properties. The effect of four different radii on its temperature history is determined. The model can be employed as a guideline to design cooling approach to achieve desired microstructure and mechanical properties such as hardness. A computer programof the model is developed, which can be used independently or incorporated into a temperature history software named (LHP)-software to continuously calculate and display temperature history of the boron steel bar and thereby to study the effect of radius on temperature history. The developed program based on (1D) FEM model has been verified by comparing its results with commercial finite element software results. The comparison indicates its validity and reliability.
Highlights
A model may help to explain a system and to study the effects of different components, and to make predictions about behaviour; in this paper modelling the effect of radius on temperature history of transient quenched boron steel as shown in Fig. 1 is studied
The present developed mathematical model is programmed using MATLAB to simulate the results of the temperature distribution with respect to time in transient state heat transfer of the industrial quenched boron steel bar
The same data input for the steel properties and boundary condition used in the mathematical model when the radius equal 12.5 mm is applied to the ANSYS software to verify the p-ISSN 1335-1532 e-ISSN 1338-1156
Summary
Mathematical models are used in the natural sciences and engineering disciplines (such as thermal engineering, heat treatment of unsteady state industrial quenched steel bar as in this work). A model may help to explain a system and to study the effects of different components, and to make predictions about behaviour; in this paper modelling the effect of radius on temperature history of transient quenched boron steel as shown in Fig. 1 is studied. Mathematical modelling is a method of simulating real-life situations with mathematical equations to forecast their behaviour. In this manuscript the heat transfer analysis is carried out in three dimensions (3D). Analysis is reduced to a 1-D axisymmetric analysis to save cost and computer time This is achievable because in axisymmetric conditions, the temperature deviations are only along radius (R) while there is no temperature variation in the (Ɵ) and (Z) directions.
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