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Viscous Proportional Material Damping

Viscous Proportional Material Damping

Viscous Proportional Material Damping

(OP)
Hello Everyone,

I'm doing a very simple model about pounding of bridge's decks. I used obviously gap element and it's doing great so far.
But right now I would like to consider dissipation during pounding. And to do so I was thinking to use viscous proportional material damping.
So I assigned a proportional damping to the structure in the load case (I'm using direct integration) of 5%. In add to this I'm assigning a viscous damping in the material. In some way is working according to me. But I really don't understand how this viscous proportional material damping works.
Can someone help me to understand what really the program does when I give him this viscous proportional material damping?
I mean how this kind of damping enter in the equations? And how is different from the structural damping that I assign in the load case?

Thank you so very much! I Would really appreciate anyone who could help me.

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