I got the answer.
The Coulomb law limits the total tangential force, which contains the 
damping term.
[image: Screenshot 2022-06-14 135028.png]

On Monday, May 16, 2022 at 11:27:59 AM UTC-4 Qihan Xuan wrote:

> Hi,
>
> I have a question about the tangential contact force in the below paper.
>
> Fleischmann, Jonathan. "DEM-PM contact model with multi-step tangential 
> contact displacement history." *Simulation-Based Engineering Laboratory, 
> University of Wisconsin-Madison, Technical Report No. TR-2015-06* (2015).
>
> Equation 1 shows that F_t has the damping term which is proportional to 
> the relative velocity.[image: t_F_1.png]
> So, the larger V_t, the larger F_t. And there is no upper limit.
>
> However, Figure 1 shows that the F_ has an upper limit because of the 
> Coulomb friction.[image: t_F_2.png]
>
> My question is: 
> How does the damping term work when F_t reaches the Coulomb friction limit?
> Is the damping term no longer proportional to relative velocity?
>
> Thanks,
> Qihan
>
>   
>
>
>

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