Cropping is a cutting process whereby opposing aligned blades create a shearing failure by exerting opposing forces normal to the surfaces of a metal sheet or plate. Building on recent efforts to quantify cropping, this paper formulates a plane strain elastic–plastic model of a plate subject to shearing action by opposing rigid platens. Shear failure at the local level is modeled by a cohesive zone characterized by the peak shear traction and the energy dissipated by shear failure process at the microscopic level. The model reveals the interplay between shear cracking and the extensive plastic shearing accompanying the cutting process. Specifically, it provides insight into the influence of the material’s microscopic shear strength and toughness on the total work of cropping. The computational model does not account for deformation of the cropping tool, friction between sliding surfaces, and material temperature and rate dependence.
Skip Nav Destination
Article navigation
July 2014
Research-Article
Numerical Simulation of Cropping
Viggo Tvergaard,
Viggo Tvergaard
Department of Mechanical Engineering,
Technical University of Denmark,
Technical University of Denmark,
Lyngby
2800, Denmark
Search for other works by this author on:
John W. Hutchinson
John W. Hutchinson
School of Engineering and Applied Sciences,
Cambridge,
Harvard University
,Cambridge,
MA 02138-2933
Search for other works by this author on:
Viggo Tvergaard
Department of Mechanical Engineering,
Technical University of Denmark,
Technical University of Denmark,
Lyngby
2800, Denmark
John W. Hutchinson
School of Engineering and Applied Sciences,
Cambridge,
Harvard University
,Cambridge,
MA 02138-2933
Manuscript received January 9, 2014; final manuscript received February 14, 2014; accepted manuscript posted February 21, 2014; published online March 6, 2014. Editor: Yonggang Huang.
J. Appl. Mech. Jul 2014, 81(7): 071002 (9 pages)
Published Online: March 6, 2014
Article history
Received:
January 9, 2014
Revision Received:
February 14, 2014
Accepted:
February 21, 2014
Citation
Tvergaard, V., and Hutchinson, J. W. (March 6, 2014). "Numerical Simulation of Cropping." ASME. J. Appl. Mech. July 2014; 81(7): 071002. https://doi.org/10.1115/1.4026891
Download citation file:
Get Email Alerts
Cited By
Related Articles
Factors Affecting the Pullout Strength of Cancellous Bone Screws
J Biomech Eng (August,1996)
Recent Investigations in Plastic Torsion
J. Appl. Mech (December,1937)
Analysis of the Mechanics of Machining with Tapered End Milling Cutters
J. Eng. Ind (August,1994)
A Slip-Based Model for Strength Evolution During Cyclic Loading
J. Eng. Mater. Technol (October,2004)
Related Chapters
Crack(s) in a Rod or a Plate by Energy Rate Analysis
The Stress Analysis of Cracks Handbook, Third Edition
Introduction and Definitions
Handbook on Stiffness & Damping in Mechanical Design
In Situ Observations of the Failure Mechanisms of Hydrided Zircaloy-4
Zirconium in the Nuclear Industry: 20th International Symposium