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laws:e2gdp
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E2GDP
Description
Elastic constitutive law for solid elements at constant temperature. Second gradient-plane deformation (for second gradient method from Grenoble).
The model
This law is used for mechanical analysis of elastic isotropic solids undergoing large strains.
Implemented by: P. Besuelle, 2002
Files
Prepro: LE2GDP.F
Lagamine: E2GDP.F (plane strain state), E2GDPS.F (plane stress state ?)
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 | 582 |
| 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 (2G10.0) | |
|---|---|
| E | Elastic modulus |
| RHO | Specific mass |
Stresses
Number of stresses
8
Meaning
The stresses are the components of 2$^{nd}$ gradient stress tensor in global (X, Y, Z) coordinates.
| SIG(1) | $\Sigma_{111}$ |
| SIG(2) | $\Sigma_{112}$ |
| SIG(3) | $\Sigma_{121}$ |
| SIG(4) | $\Sigma_{122}$ |
| SIG(5) | $\Sigma_{211}$ |
| SIG(6) | $\Sigma_{212}$ |
| SIG(7) | $\Sigma_{221}$ |
| SIG(8) | $\Sigma_{222}$ |
State variables
Number of state variables
2
List of state variables
| Q(1) | = 1 in plane strain state |
| Q(2) | RHO actualised specific mass |
laws/e2gdp.txt · Last modified: 2020/08/25 15:46 (external edit)
