Towards Mechanochemistry of Fracture and Cohesion: Mechanics of a Catenary Process Zone

Report No. ARL-TR-5310
Authors: Michael A. Grinfeld and Steven B. Segletes
Date/Pages: September 2010; 36 pages
Abstract: In this report, a one-dimensional model of cohesion and fracture is examined for flexible substrates (such as tape or hooked fasteners). The process zone is modeled to contain cohesive springs that apply a constant force per unit cracklength, up to the point where a critical displacement of decohesion is reached. This particular model resulted in a crack that takes on a catenary geometry in the process zone. Interestingly, the process zone was found to have a deterministric finite size. More importantly, however, the force relations that resulted from the model were found to match exactly those of a simple cohesion model formulated using the variational method with a macroscopic formulation.
Distribution: Approved for public release
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Last Update / Reviewed: September 1, 2010