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

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 deterministic 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

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 2010
Accession Number
ADA529981

Entities

People

  • Michael A. Grinfeld
  • Steven B. Segletes

Organizations

  • United States Army Research Laboratory

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Adhesives
  • Bonding
  • Boundaries
  • Catenaries
  • Cohesion
  • Coordinate Systems
  • Differential Equations
  • Displacement
  • Energy
  • Energy Transfer
  • Equations
  • Fasteners
  • Geometry
  • Materials
  • Mechanics
  • Military Research
  • Variational Methods

Readers

  • Electrical Engineering
  • Materials Science (Mechanical Engineering).
  • Theoretical Analysis.