Table of Contents
MESO2
This law does not seem to exist in the code.
LMESO2.F does not exist.
ITYPE = 295 corresponds to law FCZM
Description
Elastic visco-plastic constitutive law for solidification problem (continuous casting) (always used with THSOL2)
The model
For liquid element: ferrostatic pression
For solid element: EVP-law (see GROB)
For mushy element: EVP-law with parameters interpolated between solid and liquid state
Files
Prepro: LMESO2.F
Availability
| Plane stress state | NO |
| Plane strain state | NO |
| Axisymmetric state | YES |
| 3D state | NO |
| Generalized plane state | NO |
Input file
Parameters defining the type of constitutive law
| Line 1 (2I5, 60A1) | |
|---|---|
| IL | Law number |
| ITYPE | 295 |
| COMMENT | Any comment (up to 60 characters) that will be reproduced on the output listing. |
Integer parameters
| Line 1 (3I5) | |
|---|---|
| NINTV | number of sub-steps used to integrate numerically the constitutive equation in time-step |
| METK | 0 analytical stiffness matrix 1 stiffness matrix computed by perturbation |
| ISOL | 0 use of total stresses in the constitutive law 1 use of effective stresses in the constitutive law |
Real parameters
| Line 1 (3G10.0) | |
|---|---|
| COOY | level of liquid surface |
| TS | temperatures (see THSOL2) |
| TL | |
| Line 2 (7G10.0) | |
| EO | reference YOUNG's elastic modulus ($E_o$) |
| BE | corresponding temperature coefficient ($b_E$) |
| ANUO | reference POISSON's ratio ($\nu_0$) |
| BNU | corresponding temperature coefficient ($b_\nu$) |
| ANO | reference strain rate exponent ($n_o$) let us recall that: E=$E_o$exp($-b_o T$) $\nu = \nu_o exp(\nu_K T$), where T is the absolute temperature (K) |
| BO | reference strain rate coefficient ($B_o$) |
| Q | corresponding temperature coefficient (Q) |
| Line 3 (7G10.0) | |
| AMO | reference hardening exponent ($m_o$) |
| AKSO | reference hardening saturation coefficient ($K_{so}$) |
| GAMMAO | reference hardening parameter ($\gamma_o$) |
| TETAO | reference hardening coefficient ($\theta_o$) |
| BTETA | corresponding temperature coefficient ($b_\theta$) |
| AKOO | reference initial yield limit ($K_{oo}$) |
| BK | corresponding temperature coefficient ($b_K$) |
| Line 4 (2G10.0) | |
| RGA2 | perfect GAZ constant in correct unity system |
| CTQ | TAYLOR QUINNEY coefficient 0 for solidification case < 0 for semi-coupled thermomechanical analysis when the $\sigma(8)$ has to be constant and null CTQ has to be used |
Number of stresses
4
Meaning
| SIG(1) | $\sigma_{11}$ |
| SIG(2) | $\sigma_{22}$ |
| SIG(3) | $\sigma_{12}$ |
| SIG(4) | $\sigma_{33}$ |
State variables
Number of state variables
3
List of state variables
| Q(1) | THICK |
| Q(2) | current yield limit in tension, its initial value is $K_o$ exp (-$b_K$ T), where T is the absolute temperature (K) |
| Q(3) | $\varepsilon^{P}$ equivalent nonlinear strain |