The Oka or Impact Wear contact model extends any Base Model to give an estimation of
erosion depth for Geometry surfaces due to particle impacts.
This model originates from the work by Oka and Yoshida
(Oka and Yoshida,
2005). and is an erosion model that computes the volume of material removed
from a surface due to high-velocity particle impacts according to equations 1-3.
Where Vw is the removed volume, α is the particle impact angle,
Hv is the Vicker’s hardness of the worn material, D is the particle
diameter, v is the impact velocity, D' and v' are the corresponding reference values in
Oka and Yoshida’s experiments (Oka and Yoshida,
2005), and n1, n2, k1, k2,
k3, and b are empirical constants of arbitrary units.
The term (αHv)-b is lumped into a wear constant W of
arbitrary units resulting in the following equation (the change in the sign of
k1 is due to the definition of W).
The worn volume is converted into a uniform wear depth on Geometry
elements according to equation 5.
where Dw is the wear depth and A is the Geometry
element area.
The following table summarizes the values reported by Oka and Yoshida (Oka and Yoshida,
2005) that are taken for the empirical constants of the
model.
Table 1. Values for the empirical model constants reported by Oka and Yoshida for
SiO2 particles.
K
n1
n2
k1
k2
k3
v' (ms-1)
D' (μm)
65
0.71 Hv-0.94
2.4 Hv-0.94
-0.12
2.3 Hv0.038
0.19
104
326
The inputs of the model then reduce to the wear constant W and the Vicker’s
hardness Hv of the worn material. The following table summarizes the
values for some common metals reported by Oka and Yoshida (Oka and Yoshida,
2005).
Table 2. Values for the wear constant and Vicker’s hardness of some common
materials as reported by Oka and Yoshida
Material
W
Hv (GPa)
Carbon Steel
3
0.54-1.18
Stainless Steel
10
1.770
Aluminium
1000
0.36
EDEM also provides the option to deform the
Geometry according to the wear depth.
In the Oka Wear Model Parameter Values dialog box:
Select the Enable Deformation check box to enable
Geometry deformation.
If you select Enable Deformation, you must specify
the Scaling Factor which allows the deformation
results to be linearly scaled as desired.