Thermal analysis and control for heating of an extrusion die

  • Ramiro Vargas
  • Viktor Gonda Obuda University
  • Lourdes Ruiz
Keywords: Thermal simulation, PID parameters, extrusion


Heating and temperature control of tool blocks with high heat capacitance requires a proper setting of thermal control systems. The temperature distribution is highly non-uniform in the heating stage, and can deviate locally while reaching a stabilized state due to heat losses. In this study, a thermal analysis of heating an extrusion die is described. First a 3-D model of the extrusion die was constructed in SolidWorks. Subsequently, the model was imported to MARC Mentat finite element software and geometrically processed. Material properties and boundary conditions were assigned to the model considering heat conduction and heat convection. The heating power and heat transfer coefficient were taken as optimization parameters. In the parameter analysis, after several simulations, a comparison between values in real and in the modelled block showed agreement. With the theory about Proportional Integral Derivative (PID) controllers and using the values from simulation, PID parameters were computed.


[1] R. Z. Valiev and T. G. Langdon, "Principles of equal-channel angular pressing as a processing tool for grain refinement," Progress in materials science, vol. 51, no. 7, pp. 881-981, 2006.
[2] E. P. DeGarmo, J. T. Black, R. A. Kohser and B. E. Klamecki, MATERIALS AND PROCESS IN MANUFACTURING, Prentice Hall, 1997.
[3] A. D. Polyanin and V. E. Nazaikinskii, Handbook of linear partial differential equations for engineers and scientists., CRC press, 2015.
[4] Y. A. Cengel and M. A. Boles, Fundamentals of Thermodynamics, New York: McGraw-Hill, 2002.
[5] A. F. MIlls, Basic heat and mass transfer, Los Angeles: Irwin Inc, 1995.
[6] © OMEGA, "Temperature Process Controllers," OMEGA Global, [Online]. Available: [Accessed 29 April 2017].
[7] A. Bevacqua, A. E. Medvedev, A. Molotnikov, R. Axe and R. Lapovok, "Possibility to Predict Extrusion Die Incidental Fracture by Finite Element Simulation," Advanced Engineering Materials, vol. 19, no. 3, 2017.
[8] M. Bauser and K. Siegert, Extrusion, ASM International, 2006.
[9] T. Lestina and R. W. Serth, Process heat transfer: principles, applications and rules of thumb, Academic Press, 2010.
[10] Marc® MSC Software User Guide, Demonstration Problems, Munich, 2016.
[11] C. Kothandaraman and S. Subramanyan, Heat and Mass Transfer Data Book, New Delhi: New Age International Ltd., 2014.
[12] © Thermopedia, "HEAT TRANSFER COEFFICIENT," Thermopedia TM, 2 February 2011. [Online]. Available: [Accessed 2017 April 14].
[13] O. Katsuhiko, Moderon Control Engineering, New Jersey: Prentice Hall, 2010.
[14] D. Richard C. and B. Robert h., Modern Control Systems, Singapore: Pearson, 2008.
Materials Science and Technology (Anyagtudomány és Technológia)