A direct approach to evaluate interaction forces between self-adhesive polymeric films subjected to T-peeling

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O R I G I NA L

Konstantin Naumenko

· Behnaz Bagheri

A direct approach to evaluate interaction forces between self-adhesive polymeric films subjected to T-peeling

Received: 18 May 2020 / Accepted: 23 October 2020 © The Author(s) 2020

Abstract In this paper, a direct procedure to identify interaction forces between self-adhesive flexible polymeric films is developed. High-resolution photographs of the deformed shape within and outside the zone of adhesive interaction are taken at different instances of the T-peel test. To describe the deformed centerline, an approximate analytical solution to the equations of the nonlinear beam theory is derived. The obtained function is the exponential sum satisfying both kinematic and static boundary conditions for the T-peel configuration. The interaction forces computed with the developed function satisfy equilibrium conditions. The procedure provides characteristics of the adhesive interaction such as the energy of adhesion, maximum force and critical opening displacement. Furthermore, the developed direct approach is applicable to generate the whole traction–separation curve. Keywords Self-adhesive film · Traction–separation curve · Work of adhesion · Beam theory · Peel test

1 Introduction Adhesive flexible films are widely used in many industry branches, for example multifunctional layered devices [5,6,34], photovoltaic and glass laminates [8,9,24,32] as well as packaging, protection and transportation [19,20]. In application to the packaging, the important properties of films include strength of the sealed seam and peel ability. On the one hand, the films and the sealing seam must meet the given strength requirements such that the integrity of the packaging is guaranteed. On the other hand, the packaging must be easily peelable, i.e., it must be possible to open it by hand applying a small force. For the optimal design of a packaging system, for the selection of materials and the evaluation of functionality, a thorough understanding of a peeling process, a problem-oriented modeling and analysis of the composite strength, and robust computational methods are required. The opening of peeling systems is a complex fracture mechanical process for which a closed relationship between manufacturing conditions, microstructure and strength properties does not yet exist [21]. In practice, experiments are performed to determine the peel force of a given system. Examples include T-peel tests [22], Vpeel tests [18] and fixed-arm peel tests [23]. However, most standardized test methods do not give direct access to the adhesion properties, such as adhesion energy, critical opening displacement and maximum adhesion force. They also provide only limited insights into the adhesion mechanisms of the composite. For this reason, advanced measuring methods have been developed in recent years to investigate the behavior of the process K. Naumenko (B) · B. Bagheri Otto-von-Guericke-University Magdeburg, Institute of Mechanics, Universitätsplatz 2, 39106 Magdeburg, Germany E-mail: konstantin.nau