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ELASTO VISCO PLASTIC CONSTITUTIVE LAW FOR SOLID ELEMENTS AT VARIABLE TEMPERATURE (Norton-Hoff)
Implemented by: Name of developer + approximate date of implementation
Project:
Coupled dynamic recrystallisation-thermo mechanical analysis of elasto visco plastic solids undergoing large strains.
If available, give a reference paper/phD thesis to which the law is associated.
Write here the names of the main subroutines of the law (those called by loi2 for Lagamine)
Prepro: XXX.F
Lagamine: XXX.F
In the following table, fill in the file (*.F) and the names of the subroutines used by the law. Generic subroutines such as ‘ANNULD’ (putting a vector to zero) or ‘MST_SOLVE’ (computing the solution to a system of linear equations) do not need to be listed here.
| File | Subroutine | Description |
|---|---|---|
| XXX.F | XXX | Main subroutine of the law |
| Plane stress state | NO |
| Plane strain state | YES |
| Axisymmetric state | YES |
| 3D state | YES |
| Generalized plane state | YES |
The following section indicates the parameters to be written in the *.lag file. The parameters should be listed in tables. For better understanding, the table should indicate the line numer and the format in the headline, then the list of parameters (see example below). Sub-sections can be used to separate different categories of parameters (integer, real).
| Line 1 (2I5, 60A1) | |
|---|---|
| IL | Law number |
| ITYPE | 270 |
| COMMENT | Any comment (up to 60 characters) that will be reproduced on the output listing |
| Line 1 (7I5) | |
|---|---|
| NINTV | number of sub-steps used to integrate numerically the constitutive equation in a time step. If NINTV < 0 or = 0, then the number of sub-steps will be computed automatically |
| NTEMP | number of temperatures at which material data (E, ANU and ALPHA) are given |
| IDYN | = 1 if recrystallisation computation |
| = 0 else | |
| ICHP2 | = 2 if parameters K0, p1, p2, p3, p4 are given at several temperatures |
| = 1 if p2= (only if nodes temperature in Kelvin !!!) | |
| any other value if p2= (only if nodes temperature in Kelvin !!!) | |
| Line 2 (FORMAT) | |
| Line 1 (FORMAT) | |
|---|---|
| PARAM1 | description of PARAM1 |
6 for 3D state
4 for the other cases
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) | $\sigma_{yz}$ |
For the other cases:
| SIG(1) | $\sigma_{xx}$ |
| SIG(2) | $\sigma_{yy}$ |
| SIG(3) | $\sigma_{xy}$ |
| SIG(4) | $\sigma_{zz}$ |
XX
| Q(1) | The 1st state variable |
| Q(2) | The 2nd state variable |
| Q(3) | The 3rd state variable |