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ARUP; ISBN: 978-0-9562121-5-3 - CMBBE 2012 - Cardiff University

ARUP; ISBN: 978-0-9562121-5-3 - CMBBE 2012 - Cardiff University

ARUP; ISBN: 978-0-9562121-5-3 - CMBBE 2012 - Cardiff University

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( ) (4)<br />

Poisson‟s ratio was assumed to be υ=0.49 (M. Kwiatkowska et al., 2009). Equation 5 was used to calculated indentation<br />

depth of a spherical probe. The indentation depth was used for validation of the mechanical properties of the human skin. The<br />

indentation depth was compared with data obtained during FE modelling (table 1).<br />

For a 2D model the thickness of the model (Fig. 5.) can be determined by calculating the radius of the contact area between<br />

the probe and the skin. This dimension is important because for the difference probes and loads the contact area is also<br />

different.<br />

Figure 5 Contact between the probe and the skin in the FEM Simulation<br />

where b is the thickness of the model. Table 1 shows the thickness of the models used in the FE simulations.<br />

Table 1 The estimated values of the skin effective Young's modulus E [4] and deformation friction contribution.<br />

Experiments<br />

condition<br />

E<br />

[kPa]<br />

Depth of<br />

penetration<br />

[mm]<br />

(Eq. 5)<br />

4<br />

Depth of<br />

penetration<br />

[mm]<br />

(FE model)<br />

Thickness<br />

of the<br />

model<br />

[mm]<br />

D=2mm, load 0.19N 85 1.2 1.6 1.7<br />

D=2mm, load 0.5N 120 1.8 2.1 2.1<br />

D=5mm, load 0.19N 30 1.7 1.4 1.8<br />

D=5mm, load 0.5N 76 1.8 1.7 2<br />

The mechanical properties of the human skin are dependent on the loading and environmental conditions. Mechanical<br />

properties were obtained by trial and error based on the literature data (S. Diridollou et al., 2001) (M. Kwiatkowska et al.,<br />

2009) (Geerligs, 2009) (F.M. Hendriks, 2005) (F. M. Hendriks, 2003) (Bensouilah J., 2006) (Hung A., 2009). In all cases, the<br />

same mechanical properties were used. Different layers have different influences on the model behaviour. The stiffness of the<br />

bottom layers has a high influence on the horizontal displacement of skin during friction test. The middle layers determine<br />

the indentation depth and the “bow wave” effect. The “stick” and “slip” effect is dependent on the stiffness of the stratum<br />

corneum. If the stiffness of the stratum corneum is too high, the probe jumps and the “bow wave” and “stick” and “slip”<br />

effects are small. However, the layers are dependent on each other. In the Table 2 the mechanical properties used in the<br />

model are shown.<br />

Friction of coefficient between probe and skin was obtained from the literature (M. Kwiatkowska et al., 2009). Table 2<br />

shows the main parameters used in the FE simulation.<br />

During the FE simulation only the probe diameter, load, thickness of the model and coefficient of friction were changed.<br />

(5)<br />

(6)

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