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Journal of Statistical Mechanics: Theory and Experiment Volume 2007 March 2007 Create an alert RSS this journal

Pierre-Philippe Cortet et al J. Stat. Mech. (2007) P03005 doi:10.1088/1742-5468/2007/03/P03005

Imaging the stick–slip peeling of an adhesive tape under a constant load

Pierre-Philippe Cortet1, Matteo Ciccotti2 and Loïc Vanel1

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Abstract References Cited By Figures Supplementary Data

Figure 1

Figure 1. Schematic relation between the peeling force f and the peeling velocity v at the peeling crack line. These variables refer to the local dynamics of the peeling point and correspond to the tensile force F and velocity V at the free end of the tape only when the peeling is regular and the peeling angle is 90°. The sigmoidal shape is responsible for the hysteretic behaviour and therefore for the stick–slip dynamics.



Figure 2

Figure 2. Applied mass as a function of the mean mass falling velocity \langle v \rangle as reported in [8].



Figure 3

Figure 3. Experimental set-up and variables. The angles α and β are algebraic and oriented trigonometrically. Roller radius: 5.85 cm > 2R > 3.65 cm, roller and tape width: 1.95 cm, tape thickness: 50 µm.



Figure 4

Figure 4. Image of the region near the peeling point (512 × 64 pixel2).



Figure 5

Figure 5. Image of the region near the peeling point (the same one as in figure 4) and the extracted pixel line on the circular shape.



Figure 6

Figure 6. (a) Spatiotemporal image of the peeling point region. (b) Same image with superimposed the extracted position signal.



Figure 7

Figure 7. (a), (c) and (e), rotation velocity \dot {\ell_{\beta }} , (b), (d) and (f), corresponding (respectively to (a), (c) and (e)) acceleration \ddot {\ell_{\beta }} , as a function of the time. Curves (a)–(d) correspond to a triggered stick–slip peeling experiment performed with m = 170 g (curves (a) and (b)) and with m = 195 g (curves (c) and (d)). Curves (e) and (f) correspond to a spontaneous stick–slip peeling experiment performed with m = 245 g.



Figure 8

Figure 8. Experimental oscillation frequency as a function of the theoretical prediction (cf equation (2)), taking into account the accelerated motion of the load. The data correspond to different applied masses m = 170, 195, 245, 265 g, various radii 5.60 cm > R > 3.60 cm and different moments during the fall of the mass.



Figure 9

Figure 9. Spatiotemporal image of the peeling point region for a triggered stick–slip peeling experiment performed with m = 195 g. The extracted peeling point position has been added in black.



Figure 10

Figure 10. Position of the peeling point in the laboratory reference frame, \ell_{\alpha } , as a function of time for a triggered stick–slip peeling experiment performed with m = 195 g.



Figure 11

Figure 11. Spatiotemporal image of the peeling point region for a spontaneous stick–slip peeling experiment performed with m = 245 g. The extracted peeling point position has been added in black.



Figure 12

Figure 12. Position of the peeling point in the laboratory reference frame, \ell_{\alpha } , as a function of time for a spontaneous stick–slip peeling experiment performed with m = 245 g.



Figure 13

Figure 13. (a) and (c), absolute value of the peeling point position in the roller reference frame \ell _{\gamma } as a function of time. The insets are zooms of these curves in a zone where stick–slip is observed. (b) and (d), corresponding (respectively to (a) and (c)) mean velocity of the peeling point (averaged over a stick–slip cycle) \langle |\dot {\ell_{\gamma }}| \rangle_{\mathrm {cycle}} as a function of time. The light grey (green) curves correspond to the velocity of the roller in the laboratory reference frame \dot {\ell_{\beta }} . Curves (a) and (b) correspond to a triggered stick–slip peeling experiment performed with m = 195 g. Curves (c) and (d) correspond to a spontaneous stick–slip peeling experiment performed with m = 245 g.



Figure 14

Figure 14. (a) Peeling point position in the laboratory reference frame at different moments (time is increasing with the item number) of a spontaneous stick–slip experiment performed at m = 245 g. (b) Same data in the roller reference frame.



Figure 15

Figure 15. (a) and (c), instantaneous peeling velocity |\dot {\ell_{\gamma }}| (black dots), average peeling velocity \langle \dot {\ell_{\gamma }}\rangle _{\small {cycle}} (middle curve), average stick (bottom curve) and slip (top curve) velocities as a function of time. (b) and (d), corresponding (respectively to (a) and (c)) average stick and slip velocities as a function of the average peeling velocity. Curves (a) and (b) correspond to a spontaneous stick–slip peeling experiment performed with m = 245 g. Curves (c) and (d) correspond to a triggered stick–slip peeling experiment performed with m = 195 g.



Figure 16

Figure 16. (a) Stick–slip cycle duration and (b) amplitude (in the laboratory reference frame) as a function of the average peeling point velocity for a stick–slip peeling experiment performed with m = 245 g.



Figure 17

Figure 17. Ratio of the stick (light grey/green points) and slip (strong grey/red points) phases duration with the stick–slip duration as a function of the average peeling point velocity for a stick–slip peeling experiment performed with m = 245 g.




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