International Journal of Material Forming

, Volume 4, Issue 4, pp 357–369 | Cite as

Investigation of anisotropy problems in sheet metal forming using finite element method

  • Tomasz Trzepieciński
  • Hirpa L. GelgeleEmail author
Original Research


This paper discusses the results of the numerical study of rectangular cup drawing of steel sheets using finite element methods. To be able to verify the results of the numerical solutions, an experimental study was done where the material behavior under deformation was analyzed. A 3D parametric finite element (FE) model was built using the commercial FE-package ABAQUS/Standard. ABAQUS allows analyzing physical models of real processes putting special emphasis on geometrical non-linearities caused by large deformations, material non-linearities and complex friction conditions. Friction properties of the deep drawing quality steel sheet were determined by using the pin-on-disc tribometer. The results show that the friction coefficient depends on the measured angle from the rolling direction and corresponds to the surface topography. A quadratic Hill anisotropic yield criterion was compared with von Mises yield criterion having isotropic hardening. The sensitivity of constitutive laws to the initial data characterizing material behavior is also presented. It is found out that plastic anisotropy of the matrix in ductile sheet metal has influence on deformation behavior of the material. When the material and friction anisotropy are taken into account in the finite element analysis, this approach gives better approximate numerical results for real processes.


Anistropy Finite element analysis Sheet metal drawing Material modeling 



The authors gratefully acknowledge the financial support provided by Island, Liechtenstein and Norway to this project under the Scholarship and Training Fund co-financed by European Economic Area and Norwegian Financial Mechanism.


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Copyright information

© Springer-Verlag France 2010

Authors and Affiliations

  1. 1.Department of Material Formation and ProcessingRzeszow University of TechnologyRzeszówPoland
  2. 2.Department of Mechanical and Structural Engineering and Materials TechnologyUniversity of StavangerStavangerNorway

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