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laws:fczm
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FCZM
Description
Constitutive law for Xu and Needleman’s cohesive zone model with fatigue.
En cours de développement – dernière mise à jour décembre 2005 (C.Lequesne)
The model
The model is Cohesive Zone Model of Xu and Needleman. The normal and shear stresses are computed. The fatigue damage variable is computed by ARB law in the BLZ element and imported.
Files
Prepro: LFCZM.F
Lagamine: FCZM.F, FCZM3.F
Availability
| Plane stress state | YES |
| Plane strain state | YES |
| Axisymmetric state | NO |
| 3D state | YES |
| 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. |
Real parameters
| Line 1 (9G10.0) | |
|---|---|
| SIGMAX | maximum normal stress |
| DN | jump displacement when $\sigma_n$ = SIGMAX |
| TAUMAX | maximum shear stress |
| DS | jump displacement when $\sigma_t$= TAUMAX |
| DUP | jump normal displacement characteristic |
| ALPHA | penalty coefficient |
| ZETAN | viscosity parameter in normal direction |
| ZETAT | viscosity parameter in tangential direction |
Stresses
Number of stresses
2 (2D)
3 (3D)
Meaning
| SIG(1) | normal stress |
| SIG(2) | shear stress |
| SIG(3) | shear stress (only in 3D case) |
State variables
Number of state variables
5
These are the state variables related to the law, they are the first ones printed. After them, you find the state variables related to the contact geometry, their meaning is explained in the element section.
List of state variables
2D case
| Q(1) | maximal normal jump displacement before unloading DNMAX |
| Q(2) | maximal shear jump displacement before unloading DTMAX |
| Q(3) | maximal normal stress before unloading TNMAX |
| Q(4) | maximal shear stress before unloading TTMAX |
| Q(5) | fatigue damage variable DAM |
| Q(6) | position in cohesive law 1. Reversible loading 2. Irreversible loading 3. Elastic back 4. Reloading 5. Compression 6. Contact 7. Free |
3D case
| QB(1) | DUPMAX maximal shear jump displacement before unloading |
| QB(2) | DUSMAX maximal shear jump displacement before unloading |
| QB(3) | DUNMAX maximal normal jump displacement before unloading |
| QB(4) | TPMAX maximal shear stress before unloading |
| QB(5) | TSMAX maximal shear stress before unloading |
| QB(6) | TNMAX maximal normal jump displacement before unloading |
| QB(7) | DAM fatigue damage variable DAM |
| QB(8) | IREGP position in cohesive law (1..4) |
| QB(9) | IREGS position in cohesive law (1..4) |
| QB(10) | IREGN position in cohesive law (1..4) 1. Loading 2. Unloading or reloading 3. Compressive 4. Contact |
laws/fczm.txt · Last modified: 2020/08/25 15:46 (external edit)
