International Journal of Mechanics and Materials in Design

, Volume 8, Issue 4, pp 327-333

First online:

Open Access This content is freely available online to anyone, anywhere at any time.

Plane strain transversely anisotropic analysis in sheet metal forming simulation using 6-component Barlat yield function

  • Jinyan WangAffiliated withSchool of Material Engineering, Shanghai University of Engineering Science Email author 
  • , Jixian SunAffiliated withLivermore Software Technology Corporation


In most FEM codes, the isotropic-elastic and transversely anisotropic-elastoplastic model using Hill’s yield function has been widely adopted in 3D shell elements (modified to meet the plane stress condition) and 3D solid elements. However, when the 4-node quadrilateral plane strain or axisymmetric element is used for 2D sheet metal forming simulation, the above transversely anisotropic Hill model is not available in some FEM code like Ls-Dyna. A novel approach for explicit analysis of transversely anisotropic 2D sheet metal forming using 6-component Barlat yield function is elaborated in detail in this paper, the related formula between the material anisotropic coefficients in Barlat yield function and the Lankford parameters are derived directly. Numerical 2D results obtained from the novel approach fit well with the 3D solution.


4-Node quadrilateral element Transversely anisotropic Sheet metal forming