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laws:elath
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ELATH
Description
Elastic constitutive law with thermal effects for solid elements at variable temperature.
The model
This law is used for a coupled thermo-mechanical analysis of elastic solids undergoing large strains.
Files
Prepro: LELATH.F
Lagamine:
- ELAC2S.F (Plane stress state);
- ELAC2E.F (Plane strain state);
- ELAC2A.F (Axisymmetric state);
- ELA2CG.F (Generalized plane state).
Availability
| Plane stress state | YES |
| Plane strain state | YES |
| Axisymmetric state | YES |
| 3D state | NO |
| Generalized plane state | YES |
Input file
Parameters defining the type of constitutive law
| Line 1 (2I5, 60A1) | |
|---|---|
| IL | Law number |
| ITYPE | 200 |
| COMMENT | Any comment (up to 60 characters) that will be reproduced on the output listing |
Integer parameters
| Line 1 (2I5) | |
|---|---|
| NTEMP | number of temperatures at which material data are given |
| IENTH | = 1 to use the enthalpy formulation of the heat problem |
| = 0 to use the classical formulation of the heat problem | |
Real parameters
Repeat NTEMP times the definition of those parameters.
| Line 1 (4G10.0) | |
|---|---|
| T | Temperature |
| E | YOUNG's elastic modulus at temperature T |
| ANU | POISSON's ratio at temperature T |
| ALPHA | thermal expansion coefficient at temperature T |
Note that these values are tangent values (and not secant values).
| Line 2 (1G10.0) | |
|---|---|
| RHO | Specific mass (used to take into account self-weight but only if the initial specific mass is constant) |
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
1
List of state variables
| Q(1) | Element thickness (t) in plane stress state |
| = 1 in plane strain state | |
| Circumferential strain rate ($\dot{\varepsilon}_{\theta}$) in axisymmetric state | |
| = 0 in 3-D state | |
| element thickness (t) in generalized plane state |
laws/elath.txt · Last modified: 2020/08/25 15:46 (external edit)
