Interface 2D fault
Type: 210
The element consists of 2, 3, 4, or 5 nodes (line, parabola - DoF 1, 2, 3, 4, 5) relating to one side of the fault (= the structure), and 2, 3, 4, or 5 additional nodes to discretize the flow of water, gas, or temperature inside the fault (DoF 3, 4, 5). It also relates to a predefined foundation.
This element is dedicated to soil mechanics and in particular to structure-structure contact (fault). It includes pressure, friction, flow axial to the fault (water, gas, temperature), flow (water, gas, temperature) transversal to the fault (along the thickness).
Convention: when the element is considered in increasing order of nodes (1 → 2 → 3), the first body is to the left, and the tool or foundation to the right.
This element can be used with mechanical law INTME2 or a classic mechanical law and flow law INTFL2.
The element is compatible with plane stress state, plane strain state, and generalized plane state, as well as axisymmetric state. It can be used for thermo-mechanical analysis with 5 DoFs.
Warning: When using renumbering of the DoFs, only directional renumbering works.
Implemented by: J.P. Radu, 2007 (taken from FAIN2)
Prepro: FAIF2A.F
Lagamine: FAIF2B.F
Title (A5) | |
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TITLE | “FAIF2” in the first 5 columns |
Control data (3I5) | |
NELEM | Number of elements |
INSIG | = 0 no initial stresses |
= 1 or 2 → initial stresses | |
IDOMA | Number of the ES group to which the elements are connected (necessary in case of remeshing) |
Initial stresses - only if INSIG = 1 | |
If law = INTME2/INTME3 (4G10.0) | |
The pressure varies as: $PRESS = PRESS0 + (Y*DPRES) \text{ for } P\geq 0$ Tau varies as: $TAU = TAU0+(Y*DTAU)$ |
|
PRES0 | Pressure of the contact at the axis origin |
DPRES | Coefficient of variation of the pressure along Y (= 0 → constant pressure) |
TAU0 | TAU at the axis origin |
DTAU | Coefficient of variation of TAU along Y (= 0 → constant TAU) |
If law ≠ INTME2/INTME3 (7G10.0) | |
All stresses vary as: $SIGnn=SI0nn+(Y*DSIG)$ | |
SI011 | Stresses at the axis origin (y=0) expressed in local axes |
SI022 | |
SI012 | |
SI033 | |
DSIG | Coefficient of stress variation along Y ( = 0 → constant SIGnn) |
DTAU | |
RIGM | Penalty = 1.0 by default = 1/e inverse of the element thickness |
Definition of the elements (6I5/10I5) | |
NINTE | Number of integration points (1 to 10, 5 max can be drawn by DESFIN - recommanded value: 3) |
LMATM | Mechanical law number |
LMATF | Flow law |
IFOND | Number of the foundation or tool If the foundation number is equal to 0, the boundary thermal flow is calculated with the ambient, without mechanical contact with any foundation. |
INTYP | Type of numerical integration (recommanded value: 0) 0 → Gauss 1 → Lobatto 2 → Newton-Cote |
IRIGF | Type of contact |
0 → rigid foundation or tool | |
1 → uncoupled solid/solid contact One contact element on each structure, the interpenetration distance is divided by 2. Suitable for solids with similar stiffnesses. |
|
2 → coupled solid/solid contact Only one contact element must be defined on a solid, the other being its foundation. The computation of MBAND and NHICO must be actualized (see ISTRA(4)). Suitable for solids of different stiffnesses, with one (the foundation) can be more roughly approximated. |
|
3 → coupled solid/solid contact One contact element on each structure, the force is divided by 2. None of the structure is privileged. The computation of MBAND and NHICO must be actualized (see ISTRA(4)). Suitable for solids of different stiffnesses, both must be properly represented. |
|
NODES(10) | List of nodes: 1, 2, (3), (4), (5), 1', 2', (3'), (4'), (5') Nodes 3 and 3' can be 0; in that case the element is a straight line Nodes 4 and 4' can be 0; in that case the element is a parabola Nodes 5 and 5' can be 0; in that case the element is a cubic |
If the law is INTME2/INTME3:
Stresses (20):
If the law is not INTME2/INTME3:
Stresses:
Internal variables:
The first values are the ones relating to the law
For INTME2/INTME3, this will be: plasticity indicator, dissipation, fault closing $V$, fault opening $D$).
The 6 next values correspond to the contact geometry. They are:
The last values are those relating to the flow law; for INTFL2, they are: