Dynamics of stick-slip in peeling of an adhesive tape

De, Rumi ; Maybhate, Anil ; Ananthakrishna, G. (2004) Dynamics of stick-slip in peeling of an adhesive tape Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 70 (4). 046223 _1-046223 _12. ISSN 1539-3755

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Official URL: http://pre.aps.org/abstract/PRE/v70/i4/e046223

Related URL: http://dx.doi.org/10.1103/PhysRevE.70.046223


We investigate the dynamics of peeling of an adhesive tape subjected to a constant pull speed. We derive the equations of motion for the angular speed of the roller tape, the peel angle and the pull force used in earlier investigations using a Lagrangian. Due to the constraint between the pull force, peel angle and the peel force, it falls into the category of differential-algebraic equations requiring an appropriate algorithm for its numerical solution. Using such a scheme, we show that stick-slip jumps emerge in a purely dynamical manner. Our detailed numerical study shows that these set of equations exhibit rich dynamics hitherto not reported. In particular, our analysis shows that inertia has considerable influence on the nature of the dynamics. Following studies in the Portevin-Le Chatelier effect, we suggest a phenomenological peel force function which includes the influence of the pull speed. This reproduces the decreasing nature of the rupture force with the pull speed observed in experiments. This rich dynamics is made transparent by using a set of approximations valid in different regimes of the parameter space. The approximate solutions capture major features of the exact numerical solutions and also produce reasonably accurate values for the various quantities of interest.

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:72000
Deposited On:28 Nov 2011 05:16
Last Modified:28 Nov 2011 05:16

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