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Investigation of the Tearing Mechanism of Bonded Soft Elastomers with Finite Interfacial Friction Open Access


Other title
finite deformation
Interface crack
asymptotic analysis
interfacial slippage
finite element analysis
Type of item
Degree grantor
University of Alberta
Author or creator
Lengyel, Tamran H.
Supervisor and department
Dr. Rong Long (University of Colorado, Mechanical Engineering) / Dr. Peter Schiavone (Mechanical Engineering)
Examining committee member and department
Dr. B. Nadler (EXTERNAL - UVic, Mechanical Engineering)
Dr. S. Adeeb (Civil Engineering)
Dr. C. Q. Ru (Mechanical Engineering)
Department of Mechanical Engineering

Date accepted
Graduation date
Doctor of Philosophy
Degree level
The role of interfacial slippage on the deformation and stress fields near an interfacial crack are investigated in detail. First, the limiting extents of interfacial bonded friction, defined as the `frictionless' and `no-slip' cases, were modeled as hyperelastic elastostatic boundary value problems in plane strain. Using ideas similar to a fracture mechanics cohesive zone model, the `finite friction' case is established as a shear stress threshold on the bonded surface which if exceeded, allows interfacial slippage. The solutions of all three of these boundary value problems are found in the near field of the crack front using asymptotic analysis. Comparison of these solutions confirm experimental results that the inhibition of interfacial slip in the no-slip case caused material to contract inward producing a non-vertical surface angle that is shown to be a ratio of the in-plane stress components. The finite friction and frictionless cases were found to be related in that they both showed interfacial slippage after loading and the surface angle was perpendicular to the bonded interface. Further, the frictionless case is achieved when the finite friction threshold is set to zero, and in the presence of interfacial friction on the bonded edge there was a reduction in movement and the crack opening profile became more blunted or sharpened depending on the direction of slip. Extensive numerical simulations were performed using commercial finite element analysis software. Simulations for all three friction cases were studied and the results showed strong agreement with the analytical near field findings. Using the numerical data, the effects of far-field loading conditions on the remaining constants in the near-field solutions were quantified and discussed. Through the course of these simulations, it was identified that the direction of loading also plays a significant role on the deformation and stress fields near the crack front. The blunting effect occurred when the loading direction was more perpendicular and the interfacial slip moved to the right. However, when the loading direction was more tangential to the surface away from the crack the deformation field was sharpened and material in the slip-zone moved to the left. This direction of transition was also affected by the total deflection of the far-field loading. Moreover, the amount of blunting was found to be directly related to the magnitude of the stress threshold, and depending on the shear stress direction on the bonded edge (linked to the direction of slippage), produces significantly different normal stress magnitudes and failure modes. From the results presented in this study, a method of quantifying interfacial friction through deflection geometry is introduced and design considerations for desired adhesive tearing mechanisms are provided.
Permission is hereby granted to the University of Alberta Libraries to reproduce single copies of this thesis and to lend or sell such copies for private, scholarly or scientific research purposes only. The author reserves all other publication and other rights in association with the copyright in the thesis and, except as herein before provided, neither the thesis nor any substantial portion thereof may be printed or otherwise reproduced in any material form whatsoever without the author's prior written permission.
Citation for previous publication
Lengyel TH, Long R, Schiavone P. Effect of interfacial slippage on the near-tip fields of an interface crack between a soft elastomer and a rigid substrate. Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences. 2014;470(2170).Lengyel TH, Schiavone P, Long R. Interface Crack Between a Compressible Elastomer and a Rigid Substrate with Finite Slippage. Journal of the Mechanics and Physics of Solids (SUBMITTED). 2015;.

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