JKR and Other Adhesion Models
JKR Model
Equation (1) in nondimensional form may be restated as
![](formulas2/image054.gif) |
(14) |
where the nondimensional external force and contact radius are defined as
,
![](formulas2/image058.gif) |
(15) |
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Calculation Models |
![](../../images/pixel.gif) |
JKR-DMT 1
JKR-DMT 2
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![](../../images/pixel.gif) |
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Variation of the nondimensional contact radius with the
nondimensional force is shown in Figure 2. Note
that for , Equation (14)
and Figure 2 shows that .
The corresponding resistance moment about point O in Figure 1 as a function
of nondimensional force is given as
![](formulas2/image064.gif) |
(16) |
Figure 3 shows the variation of the resistance moment as predicted by the JKR model. The corresponding maximum resistance moment then is given by
![](formulas2/image066.gif) |
(17) |
and
![](formulas2/image068.gif) |
(18) |
The resistance moment at is . Also
![](formulas2/image076.gif) |
(19) |
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