Publisher URL: http://arxiv.org/abs/1809.10676v1
Publisher DOI: 10.1016/j.jmps.2018.10.011
Title: On mixed-mode fracture mechanics models for contact area reduction under shear load in soft materials
Language: English
Authors: Papangelo, Antonio 
Ciavarella, Michele 
Keywords: Physics - Soft Condensed Matter;Physics - Soft Condensed Matter;Physics - Materials Science
Issue Date: Mar-2019
Source: Journal of the Mechanics and Physics of Solids (124): 159-171 (2019-03)
Journal or Series Name: Journal of the mechanics and physics of solids 
Abstract (english): The fundamental problem of friction in the presence of macroscopic adhesion, as in soft bodies, is receiving interest from many experimentalists. Since the first fracture mechanics ‘purely brittle’ model of Savkoor and Briggs, models have been proposed where the mixed mode toughness is interpreted with phenomenological fitting coefficients introducing weaker coupling between modes than expected by the “purely brittle” model. We compare here two such previously proposed models and introduce a third one to show that the transition to sliding is very sensitive to the form of the mixed-mode model. In particular, after a quadratic decay of the contact area with load for modest tangential loads, depending on the exact form of the mixed mode function, there is an inflexion point and an asymptotic limit, or a jump to the Hertzian contact area. We find also that the unstable points are different under load or displacement control. Hence, the form of the mixed mode function, and not only its parameter, is an extremely sensitive choice. © 2018 Elsevier Ltd
URI: http://hdl.handle.net/11420/2334
ISSN: 0022-5096
Institute: Strukturdynamik M-14 
Type: (wissenschaftlicher) Artikel
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