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--- doc:user:elements:contact:laws [2014/11/05 18:34]
wautelet [TrescaContactMaterial]
+++ doc:user:elements:contact:laws [2016/03/30 15:23]
@@ Line 1: / Line 1: @@
-====== Contact materials ======
-===== Description =====
-For all contact materials, a penalty along the normal direction and a depth at which contact is detected are required. Contact can be:
-  * positively unilateral  (''UNILATERAL_POSITIF''), contact for $\mbox{gap} \geq 0$ (by default)
-  * negatively unilateral (''UNILATERAL_NEGATIF''), contact for $\mbox{gap} \leq 0$
-  * bilateral (''BILATERAL''), contact for both $\mbox{gap} \geq 0$ and $\mbox{gap}\leq 0$
-__Choice of depth at which contact is detected:__ If the contact matrix is made of circles, the depth must be smaller than the smallest radius. If it is planar, the depth is arbitrary, but a large depth leads to a slow contact detection, when if the depth is too small some contacts can be missed.
-===== FrictionlessContactMaterial =====
-=== Description ===
-Contact without friction.
-=== Parameters ===
-^   Name                                          ^     Metafor Code     ^  Dependency ^  Default  ^
-| Penalty along normal direction       |   ''PEN_NORMALE''    |        ''TM''        |            |
-| Depth at which contact is detected   |    ''PROF_CONT''     |          -           |             |
-| Type of contact                      |    ''TYPE_CONT''     |          -           |  ''UNILATERAL_POSITIF''  |
-===== FrictionlessVariablePenaltyContactMaterial =====
-=== Description ===
-Contact without friction where penalty can depend on the gap.
-=== Parameters ===
-^   Name                                          ^     Metafor Code     ^  Dependency ^
-| Penalty along normal direction                     |   ''PEN_NORMALE''    |        ''GD''        |
-:!: No ''TM'' dependency here!
-An evolution function must be associated to ''PEN_NORMALE'' (depending on generalized displacements GD).
-===== StickingContactMaterial =====
-=== Description ===
-Sticking contact. A penalty along the tangential direction is added.
-=== Parameters ===
-^   Name                                          ^     Metafor Code     ^  Dependency ^
-| Penalty along normal direction                     |   ''PEN_NORMALE''    |        ''TM''        |
-| Penalty along tangential direction                    |   ''PEN_TANGENT''    |        ''TM''        |
-| Depth at which contact is detected   |    ''PROF_CONT''     |          -           |
-| Type of contact                      |    ''TYPE_CONT''     |          -           |
-===== StickingVariablePenaltyContactMaterial =====
-=== Description ===
-Sticking contact where penalty can depend on the gap.
-=== Parameters ===
-^   Name                               ^     Metafor Code     ^  Dependency ^
-| Penalty along normal direction                     |   ''PEN_NORMALE''    |        ''GD''        |
-| Penalty along tangential direction                    |   ''PEN_TANGENT''    |        ''GD''        |
-:!: No ''TM'' dependency here!
-An evolution function must be associated to ''PEN_NORMALE'' and/or ''PEN_TANGENT'' (depending on generalized displacements GD). These function can be different.
-===== CoulombContactMaterial =====
-=== Description ===
-Coulomb's friction law. A tangential penalty, a coefficient of static friction (setting the maximal tangential force before sliding) and a coefficient of dynamic friction (setting the value of the sliding force) are required.
-=== Parameters ===
-^   Name                              ^     Metafor Code     ^  Dependency ^
-| Penalty along normal direction       |   ''PEN_NORMALE''    |        ''TM''        |
-| Penalty along tangential direction   |   ''PEN_TANGENT''    |        ''TM''        |
-| Depth at which contact is detected   |    ''PROF_CONT''     |          -           |
-| Coefficient of static friction       |  ''COEF_FROT_STA''   |        ''TM''        |
-| Coefficient of dynamic friction      |  ''COEF_FROT_DYN''   |        ''TM''        |
-| Type of contact                      |    ''TYPE_CONT''     |          -           |
-===== TrescaContactMaterial =====
-=== Description ===
-Tresca's friction law. Friction do not depend on pressure. It is calculated using penalty method with sticking contact, and starts sliding once the tangential stress reaches a threshold entered by the user.
-:!: This law requires the use of ''AREAINCONTACT'' = ''AIC_ONCEPERSTEP''
-=== Parameters ===
-^   Name                                          ^     Metafor Code     ^  Dependency ^
-| Penalty along normal direction                     |   ''PEN_NORMALE''    |        ''TM''        |
-| Penalty along tangential direction                 |   ''PEN_TANGENT''    |        ''TM''        |
-| Depth at which contact is detected                 |    ''PROF_CONT''     |          -           |
-| Static frictional shear factor |  ''TRESCA_STAT_M''   |        ''TM''        |
-| Dynamic frictional shear factor |  ''TRESCA_DYN_M''   |        ''TM''        |
-| Initial shear yield stress  |  ''TRESCA_K''   |        ''TM''        |
-| Type of contact                                    |    ''TYPE_CONT''     |          -           |
-The threshold is usually calculated using $m\,\sigma_0\,/\sqrt{3}$ where //m// is Tresca's coefficient of friction  and $\sigma_0$ is the tensile yield stress of the material.
-===== TmFrictionlessContactMaterial =====
-Thermomechanical contact without friction.
-The heat flux $q_{N}$ normal to the contact interaction (going out of the slave surface) is given by
-$$q_{N} = h_c \left(p_{N} \right) \left(T^{S} - T^{M}\left(\bf{\xi}^{S}\right)\right), $$
-where
-  * $p_{N}$ is the contact pressure,
-  * $T^{S}$ is the temperature of the slave node,
-  * $T^{M}\left(\bf{\xi}^{S}\right)$ is the temperature of a point on the master surface corresponding to the closest projection of the slave node on the master surface,
-  * $h_c$ is the thermal resistance under conduction.
-This thermal resistance under conduction $h_c$ is modeled as
-$$h_c \left(p_{N} \right) = h_{c0} \left(\frac{p_{N}}{H_v}\right)^{w}, $$
-where
-     * $H_v$ Vickers's material hardness ,
-     * $w$ is an exponent,
-     * $h_{c0}$ is the nominal thermal resistance under conduction.
-=== Parameters ===
-^   Name                               ^     Metafor Code     ^  Dependency          ^
-| Penalty along normal direction       |   ''PEN_NORMALE''    |        ''TM''        |
-| Depth at which contact is detected   |    ''PROF_CONT''     |          -           |
-| Nominal thermal resistance           |  ''CTM_H_NOMINAL''   |          -           |
-| Exponent                             |  ''CTM_EXPONENT_E''  |          -           |
-| Material hardness                    |   ''CTM_HARDNESS''   |          -           |
-| Type of contact                      |    ''TYPE_CONT''     |          -           |
-:!: Not tested in 3D :!:
-===== TmStickingContactMaterial =====
-Sticking thermomechanical contact
-=== Parameters ===
-^   Name                                          ^     Metafor Code     ^  Dependency ^
-| Penalty along normal direction                     |   ''PEN_NORMALE''    |        ''TM''        |
-| Penalty along tangential direction                    |   ''PEN_TANGENT''    |        ''TM''        |
-| Depth at which contact is detected   |    ''PROF_CONT''     |          -           |
-| Nominal thermal resistance           |  ''CTM_H_NOMINAL''   |          -           |
-| Exponent                             |  ''CTM_EXPONENT_E''  |          -           |
-| Material hardness                    |   ''CTM_HARDNESS''   |          -           |
-| Type of contact                      |    ''TYPE_CONT''     |          -           |
-:!: Not tested in 3D :!:
-===== TmCoulombContactMaterial =====
-=== Description ===
-Thermomechanical contact using Coulomb's friction law
-=== Parameters ===
-^   Name                                          ^     Metafor Code     ^  Dependency ^
-| Penalty along normal direction                     |   ''PEN_NORMALE''    |        ''TM''        |
-| Penalty along tangential direction                    |   ''PEN_TANGENT''    |        ''TM''        |
-| Depth at which contact is detected   |    ''PROF_CONT''     |          -           |
-| Coefficient of static friction       |  ''COEF_FROT_STA''   |        ''TM''        |
-| Coefficient of dynamic friction      |  ''COEF_FROT_DYN''   |        ''TM''        |
-| Nominal thermal resistance           |  ''CTM_H_NOMINAL''   |          -           |
-| Exponent                             |  ''CTM_EXPONENT_E''  |          -           |
-| Material hardness                    |   ''CTM_HARDNESS''   |          -           |
-| Type of contact                      |    ''TYPE_CONT''     |          -           |
-:!: Not tested in 3D :!:
-===== TmTrescaContactMaterial =====
-=== Description ===
-Thermomechanical contact using Tresca's friction law
-=== Parameters ===
-^   Name                                          ^     Metafor Code     ^  Dependency ^
-| Penalty along normal direction       |   ''PEN_NORMALE''    |        ''TM''        |
-| Penalty along tangential direction   |   ''PEN_TANGENT''    |        ''TM''        |
-| Depth at which contact is detected   |    ''PROF_CONT''     |          -           |
-| Frictional shear factor |  ''TRESCA_M''   |        ''TM''        |
-| Initial shear yield stress  |  ''TRESCA_K''   |        ''TM''        |
-| Nominal thermal resistance           |  ''CTM_H_NOMINAL''   |          -           |
-| Exponent                             |  ''CTM_EXPONENT_E''  |          -           |
-| Material hardness                    |   ''CTM_HARDNESS''   |          -           |
-| Type of contact                      |    ''TYPE_CONT''     |          -           |
-The threshold is usually calculated using $m\,\sigma_0\,/\sqrt{3}$ where //m// is Tresca's coefficient of friction  and $\sigma_0$ is the tensile yield stress of the material.
-:!: Not tested in 3D :!:

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