Abstract
This paper presents a systematic procedure for the development of a constitutive model of friction with focus on the application in bulk metal forming simulations. The empirically based friction model describes friction as a function of sliding distance and the most relevant friction influencing parameters. The latter were determined by means of designed experiments. An optimal friction model is obtained as a trade-off between model accuracy and complexity by using stepwise nonlinear regression and a modified version of the Akaike information criterion. Within this study, the procedure is applied to determine a friction model for tube drawing. However, the same approach can also be used for modeling friction of any other bulk metal forming process.
Highlights
The finite element method (FEM) has become a well-accepted and cost-efficient tool for the design and optimization of manufacturing processes in the metal forming industry
The first and probably most popular friction model was proposed by Coulomb [5], based on the experimental work of Amontons [6]
Orowan [8] solved this issue by limiting the frictional shear stress to the shear yield strength of the workpiece, while Shaw et al [9] proposed a smooth transition from the Amontons–Coulomb model to the limiting shear yield strength
Summary
The finite element method (FEM) has become a well-accepted and cost-efficient tool for the design and optimization of manufacturing processes in the metal forming industry. Orowan [8] solved this issue by limiting the frictional shear stress to the shear yield strength of the workpiece, while Shaw et al [9] proposed a smooth transition from the Amontons–Coulomb model to the limiting shear yield strength. Another popular friction model, often used in metal forming simulation due to its simplicity, is the friction factor model [10]. Often used in metal forming simulation due to its simplicity, is the friction factor model [10]
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