Application of SPH method for modeling of metal extrusion process


Numerical models are widely used for the prediction of stress and strains that the materials undergo in extrusion processes. These factors affect the quality of the extruded product as well as the speed of production process. Due to its meshless nature, the smooth particle hydrodynamics (SPH) method is capable of simulating processes where severe deformations occur. Therefore, it is highly suitable for modeling of extrusion processes. In this study, the SPH method is used for the simulation of extrusion processes for two different geometries of the die cross section. For all cases, a parametric analysis on friction was conducted and the influence on the strain fields as well as the extrusion forces was investigated. Also, in order to calibrate the models to predict the experimental forces, it was necessary to use different friction coefficients for the die and the container section. The SPH method modeled accurately the influence of each section’s frictional forces on the strain field and extrusion forces. Furthermore, the calibrated models were able to capture the experimental data with a 10% accuracy for a range of different values for the initial billet temperature and ram speed.

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Data availability

The authors declare that data supporting the findings of this study can be found within the article.


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Correspondence to Adam D. Lampropoulos.

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Lampropoulos, A.D., Manolakos, D.E. Application of SPH method for modeling of metal extrusion process. Comp. Part. Mech. (2021).

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  • Smooth particle hydrodynamics
  • Numerical simulation
  • Metal forming
  • Extrusion
  • Parametric analysis