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# Frontiers in Mechanical Engineering

## Hypothesis and Theory ARTICLE Provisionally accepted The full-text will be published soon. Notify me

Front. Mech. Eng. | doi: 10.3389/fmech.2018.00022

# Spring contact model of tape peeling: a combination of the peel-zone approach and the Kendall approach

Yuanzhe Li1, Noshir S. Pesika2*, Ming Zhou3 and Yu Tian1*
• 1State Key Laboratory of Tribology, Tsinghua University, China
• 2Department of Chemical and Biomolecular Engineering, Tulane University, United States
• 3School of Mechanical Engineering, Guangxi University of Science and Technology, China

Energy-based and force-based approaches are two basic ways to establish an adhesion model. For the adhesion of tape-like thin films, the Kendall equation considers the overall energy balance but inherently contains little information of the peel zone geometry and stress distribution. The peel zone model provides an empirical approximate of the peel front from the approach of a force description and coincides well with experimental results for a wide range of peel angles. However, the peel-zone model itself has not been unified with the Kendall equation yet. We propose a two-layer spring contact tape peeling model which considers the balance between the stretching force of the backing layer and the adhesive force transferred through the adhesive layer. The model provides an analytic shape description of the curved bifurcation region of the peel front. An approximate analytic solution of the peel force reduces to the Kendall equation by considering a Kendall-like energy conservation critical criterion, which further supports the proposed model. Further analysis of the relationship between the length of the peel zone and the adhesive force provides insight into the validity of the peel zone model. The proposed model provides a new insight in the tape peeling process and mathematically builds a potential bridge between the Kendall model and the peel-zone model.

Keywords: spring contact model, adhesive separation, Kendall Equation, Peel-zone model, Tape peeling

Received: 06 Aug 2018; Accepted: 05 Dec 2018.

Edited by:

Giuseppe Carbone, Politecnico di Bari, Italy

Reviewed by:

Yoshitaka Nakanishi, Kumamoto University, Japan
Yulia Makhovskaya, Institute for Problems in Mechanics (RAS), Russia
Michele Scaraggi, University of Salento, Italy

Copyright: © 2018 Li, Pesika, Zhou and Tian. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

* Correspondence:
Prof. Noshir S. Pesika, Tulane University, Department of Chemical and Biomolecular Engineering, New Orleans, 70118, Louisiana, United States, npesika@tulane.edu
Prof. Yu Tian, Tsinghua University, State Key Laboratory of Tribology, Beijing, 100084, Beijing, China, tianyu@mail.tsinghua.edu.cn