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laws:ela
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ELA
Description
Elastic constitutive law for solid elements at constant temperature
The model
This law is used for a mechanical analysis of elastic isotropic solids undergoing large strains.
Files
Prepro: LELA.F
Lagamine:
- ELA2S.F (Plane stress state)
- ELA2E.F (Plane strain state)
- ELA2A.F (Axisymmetric and generalized plane state)
- ELA3D.F (3D state)
Availability
| Plane stress state | YES |
| Plane strain state | YES |
| Axisymmetric state | YES |
| 3D state | YES |
| Generalized plane state | YES |
Input file
Parameters defining the type of constitutive law
| Line 1 (2I5, 60A1) | |
|---|---|
| IL | Law number |
| ITYPE | 1 |
| COMMENT | Any comment (up to 60 characters) that will be reproduced on the output listing |
Integer parameters
| Line 1 (2I5) | |
|---|---|
| ISOL | = 0 : use of total stresses in the constitutive law |
| ≠ 0 : use of effective stresses in the constitutive law - see appendix 7 | |
| NINTV | = 1 by default |
Real parameters
| Line 1 (3G10.0) | |
|---|---|
| E | YOUNG’s elastic modulus |
| ANU | POISSON’s ratio |
| RHO | Specific mass |
Stresses
Number of stresses
6 for 3D state
4 for the other cases
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) | $\sigma_{yz}$ |
For the other cases:
| SIG(1) | $\sigma_{xx}$ |
| SIG(2) | $\sigma_{yy}$ |
| SIG(3) | $\sigma_{xy}$ |
| SIG(4) | $\sigma_{zz}$ |
State variables
Number of state variables
7
List of state variables
| Q(1) | Element thickness (t) in plane stress state |
| = 1 in plane strain state | |
| Circumferential strain rate ($\varepsilon_{r}$) in axisymmetric state | |
| = 0 in 3-D state | |
| element thickness (t) in generalized plane state | |
| Q(2) | nothing |
| Q(3) | nothing |
| Q(4) | nothing |
| Q(5) | nothing |
| Q(6) | strain energy per unit volume |
| Q(7) | actualized specific mass RHO |
laws/ela.txt · Last modified: 2020/08/25 15:46 (external edit)
