Table of Contents
ANI3VH
Description
Anisotropic elasto-plastic law based on texture for solid elements at constant temperature.
The model
This law is used for mechanical analysis of elasto-plastic anisotropic solids undergoing large strains. Isotropic hardening is assumed.
Files
Prepro: LANIVH.F
Lagamine: ANI3VH.F
Availability
| Plane stress state | NO |
| Plane strain state | NO |
| Axisymmetric state | NO |
| 3D state | YES |
| Generalized plane state | NO |
Input file
Parameters defining the type of constitutive law
| Line 1 (2I5, 60A1) | |
|---|---|
| IL | Law number Texture data being read as metallurgical data, this constitutive law MUST BE THE FIRST one (IL=1) |
| ITYPE | 500  500 seems to be attributed to 2 different laws in LAWPRE.F |
| COMMENT | Any comment (up to 60 characters) that will be reproduced on the output listing |
Integer parameters
| Line 1 (2I5) | |
|---|---|
| NINTV | (Absolute) number of sub-steps used to integrate numerically the constitutive equation in a time step |
| (Sign) indicator for analytical (+) or numerical (-) tangent matrix | |
| METH | (Absolute) type of anisotropic yield surface to be used |
| = ± 1 : Based on texture measurements (P. van Houtte), use MDPAM = -1 | |
| = ± 2 Hill, use MDPAM = -2 | |
| = ± 6 : Based on texture measurements (B. van Bael), use the correct MDPAM (< -5) | |
| < 0 : Use global axes | |
| > 0 : Use local axes | |
Real parameters
| Line 1 (7G10.0) | |
|---|---|
| E | YOUNG's elastic modulus |
| ANU | POISSON's ratio |
| AK / AK | Hardening factor K (see below) |
| EPS0 / GAMMA0 | Hardening deformation (see below) |
| AN | Hardening exponent (see below) |
| AM | Hardening rate exponent (not used) |
| TOL1 | Tolerance (texture based yield surface) |
| Line 2 (1G10.0) | |
| TOLF | Idem |
If METH=$\pm$2 (Hill):
| Line 1 (7G10.0) | |
|---|---|
| E | YOUNG's elastic modulus |
| ANU | POISSON's ratio |
| AK / AK | Hardening factor K (see below) |
| EPS0 / GAMMA0 | Hardening deformation (see below) |
| AN | Hardening exponent (see below) |
| AM | Hardening rate exponent (not used) |
| TOL1 | Tolerance (texture based yield surface) |
| Line 2 (7G10.0) | |
| TOLF | Idem |
| HILL(1) | $\alpha_{23}$ |
| HILL(2) | $\alpha_{13}$ |
| HILL(3) | $\alpha_{12}$ |
| HILL(4) | $\alpha_{44}/2$ |
| HILL(5) | $\alpha_{55}/2$ |
| HILL(6) | $\alpha_{66}/2$ |
Stresses
Number of stresses
6 for 3D state
Meaning
The stresses are the components of CAUCHY stress tensor in global (X,Y,Z) coordinates.
For the 3-D state:
| SIG(1) | $\sigma_{xx}$ |
| SIG(2) | $\sigma_{yy}$ |
| SIG(3) | $\sigma_{zz}$ |
| SIG(4) | $\sigma_{xy}$ |
| SIG(5) | $\sigma_{xz}$ |
| SIG(6) | $\sigma_{yz}$ |
State variables
Number of state variables
3
List of state variables
| Q(1) | Yield indicator |
| = 0 : Current state is elastic | |
| = 1 : Current state is elasto-plastic | |
| Q(2) | Equivalent plastic strain EPSEQ |
| Q(3) | Equivalent plastic strain rate |
Hardening form
- If METH = ± 2 (HILL law): SIGMAY = AK*(EPS0+EPSEQ)^AN : \[\sigma=K(\varepsilon_0+\varepsilon_{eq})^N\]
- If METH = ± 6 (law based on texture measurements): TAU=AK*(GAMMA0-GAMMA)^AN : \[\tau=K'(\Gamma^{\circ}+\Gamma)^N\]