Vol. 12, No. 2, 2017

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Fracture in three dimensions due to die motion on crack surfaces: framework for study of crack/contact zone geometry

Louis M. Brock

Vol. 12 (2017), No. 2, 159–177

Dynamic steady state growth in 3D of a semi-infinite plane crack in isotropic elastic solids is considered. Growth is driven by the translation of a rigid die between the two crack surfaces. Sliding friction is neglected, but the possibility that crack surfaces resume contact in the wake of the die is considered. Translation and crack growth occur at the same, constant, subcritical speed. An analytical solution is obtained, and a criterion for fracture based on dynamic energy release rate imposed, with kinetic energy included. A nonlinear differential equation for crack edge location and constraint equations result, and together form a framework for study of crack and contact zone geometry.

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3D, dynamic, criteria, contact zone, crack edge, kinetic energy
Received: 25 February 2016
Revised: 4 April 2016
Accepted: 6 August 2016
Published: 14 December 2016
Louis M. Brock
Department of Mechanical Engineering
College of Engineering
University of Kentucky
Lexington, KY 40506-0038
United States