Journal of Theoretical
and Applied Mechanics

56, 3, pp. 781-792, Warsaw 2018
DOI: 10.15632/jtam-pl.56.3.781

### Numerical analysis of the deep drawing process including the history of stress and strain

Paweł Kałduński
This paper discusses the results of a numerical study of circular cup drawing of steel sheets
using finite element method. The drawing process is considered as a geometrical and physical
nonlinear problem with unknown boundary conditions in the contact area of the system,
such as the tool and the workpiece. The updated Lagrangian description is used to charac-
terize these nonlinear phenomena on a typical incremental step time. Numerical results are
obtained using an explicit method in Ansys/Ls-Dyna program. The constitutive Cowper-
-Symonds material model with linear hardening strain to predict material plasticity is used.
The results of implementation of stresses and strains from a blanking operation flat disc of
a sheet of metal for deep-drawing process are presented. After the blanking process simula-
tion, an implicit springback analysis is performed. Then a numerical analysis of cup forming
from this flat disc plate was carried out. The analysis results are compared with one another
through reading of the sheet thickness in several characteristic points and the overall height
of the product.
Keywords: deep drawing, modeling, numerical analysis, FEM, stress history, strain history

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