Sidebar
laws:ep1gdp
Table of Contents
EP1GDP
Description
Elasto-plastic constitutive law for solid elements at constant temperature
First gradient – plane deformation
→ for second gradient method from grenoble
Implemented by: P. Besuelle, 2002
The model
This law is only used for mechanical analysis of elastic isotropic solids undergoing large strains.
Files
Prepro: LEP1GDP.F
Lagamine: EP1GDP.F
Availability
| Plane stress state | NO |
| Plane strain state | YES |
| Axisymmetric state | NO |
| 3D state | NO |
| Generalized plane state | NO |
Input file
Parameters defining the type of constitutive law
| Line 1 (2I5, 60A1) | |
|---|---|
| IL | Law number |
| ITYPE | 581 |
| COMMENT | Any comment (up to 60 characters) that will be reproduced on the output listing |
Integer parameters
| Line 1 (1I5) | |
|---|---|
| ISOL | = 0 : use of total stresses in the constitutive law |
| $\neq$ 0 : use of effective stresses in the constitutive law. See Appendix 8 | |
Real parameters
| Line 1 (5G10.0 ) | |
|---|---|
| K | K elastic modulus |
| G1 | G1 elastic modulus |
| G2 | G2 elastic modulus |
| ELIM | Peak deformation |
| RHO | Specific mass |
Stresses
Number of stresses
4
Meaning
The stresses are the components of CAUCHY stress tensor in global (X,Y,Z) coordinates.
| SIG(1) | $\sigma_{xx}$ |
| SIG(2) | $\sigma_{yy}$ |
| SIG(3) | $\sigma_{xy}$ |
| SIG(4) | $\sigma_{zz}$ |
State variables
Number of state variables
11
List of state variables
| Q(1) | = 1 in plane strain state |
| Q(2) | RHO actualised specific mass |
| Q(3) | $F_{11}$ deformation gradient |
| Q(4) | $F_{12}$ deformation gradient |
| Q(5) | $F_{21}$ deformation gradient |
| Q(6) | $F_{22}$ deformation gradient |
| Q(7) | ELIMP actualised peak deformation |
| Q(8) | Second deviatoric strain increment invariant |
| Q(9) | Second deviatoric strain invariant |
| Q(10) | IYIELD Plastic loading index |
| Q(11) | Second deviatoric stress invariant |
laws/ep1gdp.txt · Last modified: 2020/08/25 15:46 (external edit)
