Hi Mason,

The Soil Contact Model (the original one from DLR, as well as the one 
implemented in Chrono) rely on the semi-empirical Bekker formula which includes 
those 3 parameters that you mention and relates the pressure to the sinkage.  
Note that this formula is derived from experiments and is not physics-based. As 
such, the parameters K_phi, K_c, and n do not have immediate physical meaning 
(although they can be somewhat related to physical properties).
The “units” for K_c and K_phi are:
[K_c] = N/m^(n+1)
[K_phi] = N/m^(n+2)
where n is the 3rd Bekker parameter.

You can read about the Chrono SCM implementation in this 
paper<https://www.researchgate.net/publication/359619160_Real-time_simulation_of_ground_vehicles_on_deformable_terrain>.

These 3 Bekker parameters are usually obtained from experiments using a 
so-called “bevameter” and then some curve fitting.  You can find more 
information about this in various textbooks, for example Chapter 4 in Wong’s 
“Terramechanics Behaviour, Off-Road Vehicle Performance and Design” (ISBN 
978-0-7506-8561-0)

Bevameter data (and therefore these Bekker parameters) are not always easy to 
obtain.  Wong’s book contains (Table 12.10) some sets of parameters (for sand, 
2 types of clay, and loam).
KRC (Keweenaw Research Center) in Michigan has a bevameter and some data.  You 
would need to contact them directly to see if/how you could get access to such 
data.

--Radu

From: [email protected] <[email protected]> On Behalf 
Of Mason Mitchell
Sent: Wednesday, August 14, 2024 9:46 PM
To: ProjectChrono <[email protected]>
Subject: [chrono] SCM Terrain Parameter Units

Hi,

I am using SCMTerrain for my simulation ground, and am attempting to inlay my 
own parameters. The key parameters are:
Bekker k_phi
Bekker k_c
Bekker n exponent
Mohr cohesive limit
Mohr friction limit
Janosi shear coefficient
Elastic stiffness
Damping

Some of these have labeled units in comments inside the 
demo_VEH_SCMTerrain_RigidTire.cpp that I am referencing, which gives us:

Bekker k_phi
Bekker k_c
Bekker n exponent
Mohr cohesive limit (Pa)
Mohr friction limit (degrees)
Janosi shear coefficient (m)
Elastic stiffness (Pa/m)
Damping (Pa s/m)

So mainly I am wondering about the units for Bekker K_phi and Bekker k_c. 
Additionally, there are defined values for a soil called LETE sand in that demo 
file which have the following values:

Bekker k_phi = 5301e3
Bekker k_c = 102e3
Bekker n exponent = 0.793
Mohr cohesive limit (Pa) = 1.3e3
Mohr friction limit (degrees) = 31.1
Janosi shear coefficient (m) = 1.2e-2
Elastic stiffness (Pa/m) = 4e8
Damping (Pa s/m) = 3e4

Is there a resource pointing to where/how you acquired these values so that I 
could compare and validate all of the parameterization with my own soil? 
Specifically  just to clarify my method for mapping the damping and elastic 
stiffness parameters, alongside, again, extracting the right units for the 
Bekker k_phi and k_c values.

Thanks so much!
-Mason
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