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calibration standard, as its value is similar to the polymeric coatings to be tested in this work. Note that we did not use the widely used fused Quartz standard because its reduced modulus is significantly higher than our interest, namely 69.6 GPa. Calibration was performed with 22 varying loads from 1 mN to 800 mN (under the exact same loading conditions as the measurements detailed later) resulting in 0.5 to 6.5 μm of contact depths (Figure 4.4) which were of similar range to those of the actual measurements. Once the tip is completely calibrated with the coefficients seen in Figure 4.4, this tip area function is directly used for the calculation of the mechanical properties during the indentation measurements. The detailed calculation process using the compliance method which involves the determination of the elastic modulus and hardness exclusively from the initial unloading portion of the load-displacement curve can be found in the literatures (Oliver and Pharr, 1992 and Hay and Pharr, 2000). ×109 10 8 6 4 2 0 -2 0 02468 C0 = 24.5 C1 = 5.3631E5 C2 = 1.0206E9 C3 = -3.6334E10 C4 = 1.6238E11 C5 = -1.3851E11 1000 2000 3000 4000 5000 6000 7000 8000 hc (nm) ×103 Figure 4.4 Polynomial curve-fitting of measured contact area versus contact depth to determine the coefficients of tip area function. 56 Ac (nm2)PDF Image | TRIBOLOGY OF POLYMERIC COATINGS FOR AGGRESSIVE BEARING APPLICATIONS
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