Difference between revisions of "Adhesive Friction Law"
| Line 5: | Line 5: | ||
| | ||
<math>S_{slide} = \mu_d N + S_a \quad{\rm if}\quad S_{stick}> \ | <math>S_{slide} = \mu_d N + S_a \quad{\rm if}\quad S_{stick}> \mu_s N+S_a</math> | ||
and µ<sub>d</sub> and µ<sub>s</sub> are the dynamic and static coefficients of friction and S<sub>a</sub> is the shear adhesion strength. In other words, the sliding will begin when it overcomes the static frictional force, but thereafter will slide with the dynamic coefficient of friction plus adhesion term. If the surfaces are not in contact, the surface continue to stick as long as: | and µ<sub>d</sub> and µ<sub>s</sub> are the dynamic and static coefficients of friction and S<sub>a</sub> is the shear adhesion strength. In other words, the sliding will begin when it overcomes the static frictional force, but thereafter will slide with the dynamic coefficient of friction plus adhesion term. If the surfaces are not in contact, the surface continue to stick as long as: | ||
Revision as of 16:56, 26 January 2016
Description
This frictional contact law implements simple Coulomb friction law with adhesion. It is only available in OSParticulas. When the surfaces are in contact, the frictional sliding force is
[math]\displaystyle{ S_{slide} = \mu_d N + S_a \quad{\rm if}\quad S_{stick}\gt \mu_s N+S_a }[/math]
and µd and µs are the dynamic and static coefficients of friction and Sa is the shear adhesion strength. In other words, the sliding will begin when it overcomes the static frictional force, but thereafter will slide with the dynamic coefficient of friction plus adhesion term. If the surfaces are not in contact, the surface continue to stick as long as:
[math]\displaystyle{ \left({S_{stick}\over S_a}\right)^2 + \left({N\over N_a}\right)^2 \lt 1 }[/math]
where Na is the normal adhesion strength. If this criterion is not met, the surfaces move apart freely with zero tractions.
Note that the adhesion in this law is reversible. In other words, if the stresses break the adhesion as moving part, they will stick with the same adhesive strengths when the surfaces come back into contact.
Properties
The properties for this law are:
| Property | Description | Units | Default |
|---|---|---|---|
| coeff | The dynamic coefficient of friction | none | 0 |
| coeffStatic | The static coefficient of friction. If this optional static coefficient of friction is changed to a positive number, it must be greater than the dynamic coefficient or friction. | none | -1 |
| Sa | The shear adhesive strength of the interface | pressure units | 0 |
| Na | The normal adhesive strength of the interface | pressure units | 0 |