Table of Contents

CFI3D

3D contact element

Description

Type: 212

The element consists of 4 or 8 nodes connected to the structure. The normal (red side in DESFIN) must go out of the structure.

The foundation, defined by a series of triangular or quadrangular sides, by a cylinder or a truncated cone, is defined in the “FOUND” section of the *.lag file. If the foundation is defined by a series of sides, the normal is given by the product of vectors $\vec{12}$ and $\vec{13}$ built on the nodes of the foundation $\vec{n}=\vec{12} \wedge\vec{13}$ of each side. This normal must be directed inwards the foundation.

If the foundation is cylindrical, it is represented by 3 nodes. The first 2 nodes represent the limits of the cylinder axis. The last node has coordinates $(R, \phi, 0)$, where $\phi$ represents the rotation of the cylinder ($\phi=0$ initially).
If the foundation is a truncated condeit is also represented by 3 nodes. The first 2 nodes represent the limits of the truncated cone axis. The last has coordinates $(R_1, R_2, \phi)$ where $R_1$ and $R_2$ are the radius at node 1 and 2, and $\phi$ represents the rotation of the truncated cone ($\phi=0$ initially).

This element can only be used with law COU2DC/COU3DC. It induces friction and thermal exchanges by radiation-convection or with thermal resistance. It can work in thermal, mechanical, or thermo-mechanical analysis.

Implemented by: J.P. Radu, 1989

Files

Prepro: CFI3DA.F
Lagamine: CFI3DB.F

Input file

Title (A5)
TITLE“CFI3D” in the first 5 columns
Control data (2I5)
NELEMNumber of elements
INSIG= 0 no initial stresses
= 1 → initial stresses
Initial stresses - only if INSIG = 1 (6G10.0)
The pressure varies as: $PRESS = PRES0 + (Z*DPRES)$
Tau varies as: $TAUn = TAUn0+(Z*DTAUn)$
PRES0Pressure of the contact at the axis origin
DPRESCoefficient of variation of the pressure along Y (= 0 → constant pressure)
TAU10TAU along direction 1 at the axis origin
DTAU1Coefficient of variation of TAU1 along Z (= 0 → constant TAU1)
TAU20TAU along direction 2 at the axis origin
DTAU2Coefficient of variation of TAU2 along Z (= 0 → constant TAU2)
Definition of elements
(5I5)
NINTENumber of integration points (1, 4, or 9)
LMATEMaterial law
IFOUNNumber of the foundation or tool
If the number of the foundation is equal to 0, the thermal flow between the boundary and the environment, without any mechanical mechanical contact with a foundation
IRIGFType 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.
4 → Coupled solid/foundation piloted in displacement contact (only if pilot node)
Only one contact element defined on the structure.
Corresponds to the case where IRIGF = 2, but with a reduction of the size of LM and AK and without any necessity to repeat the calculation of MBAND and NHICO (see ISTRA(4))
The computation method of AK with perturbation is adapted to the notion of piloted foundation
5 → Coupled solid/foundation piloted in rotation contact (only if pilot node)
Only one contact element defined on the structure.
Corresponds to the case where IRIGF = 2, but with a reduction of the size of LM and AK and without any necessity to repeat the calculation of MBAND and NHICO (see ISTRA(4))
The computation method of AK with perturbation is adapted to the notion of piloted foundation
NELMCNumber of layers of contact element for this element
= 1 (by default)
≠ 0 → use CF3MLB instead of CFI3D
Only if NELMC > 1 (4I5) - Repeated NELMC-1 times
NINTENumber of integration points (1, 4, or 9)
LMATEMaterial law
IFOUNNumber of the foundation or tool
IRIGFType of contact
(8I5)
NODES(8)List of nodes

Results

Stresses:
Pressure, tangent stress in direction 1, tangent stress in direction 2, thermal flow. The positive direction of $\tau$ is along $-\xi$, $-\eta$

Internal variables:
The first values are the ones relating to the law (for Coulomb law, this will be: plasticity indicator, dissipation, information on mechanical dissipation in thermal flow). The 2 last values correspond to the contact geometry. They are: