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

Brock, Louis

doi:10.2140/jomms.2017.12.159

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

Subscriptions

ISSN 1559-3959 (online)

ISSN 1559-3959 (print)

Author index

To appear

Other MSP journals

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

DOI: 10.2140/jomms.2017.12.159

Abstract

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.

Keywords

3D, dynamic, criteria, contact zone, crack edge, kinetic energy

Milestones

Received: 25 February 2016

Revised: 4 April 2016

Accepted: 6 August 2016

Published: 14 December 2016

Authors

Louis M. Brock
Department of Mechanical Engineering College of Engineering University of Kentucky Lexington, KY 40506-0038 United States

Vol. 12, No. 2, 2017

Louis M. Brock

Abstract

Keywords

Milestones

Authors