The document discusses advanced modeling of sheet metal forming considering anisotropy and Young's modulus evolution. It describes using a Gurson type potential with anisotropy parameters to model plastic potential and porosity evolution. Stiffness degradation due to spherical voids is also studied. The material models are numerically implemented in a finite element code via a VUMAT subroutine, combining a GTN potential with Eshelby and Mori–Tanaka models to consider anisotropy effects.

1. Advanced Modelling of Sheet Metal Forming
Considering Anisotropy and Young’s Modulus
Evolution
Realizado Por:
Miguel Vásquez
C.I: 20112509

2. CONSTITUTIVE MODELLING
AND NUMERICAL
IMPLEMENTATION
Plastic Potential
Evolution of
Porosity
Stiffness
Degradation
Numerical
Implementation
Gurson type
(GTN)
potential with the
anisotropy
The material
anisotropy
parameters F, G, H,
L,
M, N are related to
yield stress ratios
Stiffness degradation
due to inclusion of
spherical
voids in the elastic
continuum was
studied in many
papers
finite element code
ABAQUS via VUMAT
subroutine
The law governing
the evolution of
porosity considers
two mechanisms,
void growth and
void nucleation
Combining the
GTN model with
the Eshelby and
Mori–Tanaka