Peeling of an elastic membrane tape adhered to a substrate by a uniform cohesive traction

Panayiotis Gialamas, Benjamin Völker, Rachel R. Collino, Matthew R. Begley*, Robert M. McMeeking

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)


An analytical model is provided for the peeling of a tape from a surface to which it adheres through cohesive tractions. The tape is considered to be a membrane without bending stiffness and is initially attached everywhere to a flat rigid surface. The tape is assumed to deform in plane strain, and finite deformations in the form of elastic strains are accounted for. The cohesive tractions are taken to be uniform when the tape is within a critical interaction distance from the substrate and then to fall immediately to zero once this critical interaction distance is exceeded. When the distance between the tape and the substrate is zero, repulsive and attractive tractions balance to zero; in this segment, sliding of the tape relative to the substrate is forbidden when we pull the tape up somewhere in the middle, though we permit such sliding when the tape is peeled from one end. In the cohesive zone and where the tape is detached, the interaction of the tape with the substrate is frictionless. Results are given for the force to peel a neo-Hookean tape at any angle up to vertical when one end of it is pulled away from the substrate, as well as for scenarios when the tape is lifted somewhere in the middle to form a V shape being pulled away from the substrate.

Original languageEnglish
Pages (from-to)3003-3011
Number of pages9
JournalInternational Journal of Solids and Structures
Issue number18
Early online date10 May 2014
Publication statusPublished - Sept 2014

Bibliographical note

PG and MRB gratefully acknowledge the support of the National Science Foundation through CMII Grant No. #1063714 (formerly #0800790) and the MRSEC Program DMR-1121053 (MRL-UCSB). Partial support was also provided for PG and MRB by the Institute for Collaborative Biotechnologies through contract no. W911NF-09-D-0001 from the U.S. Army Research Office. The content of the information does not necessarily reflect the position or the policy of the Government, and no official endorsement should be inferred.


  • Adhesion
  • Dugdale cohesive zone
  • Interface/cohesive energy
  • Peeling


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