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TECHNICAL PAPERS

Relationship Between the External Force and the Specific Work of Fracture R for Steady-State Tearing and Peeling of Elastoplastic Materials

[+] Author and Article Information
J. H. Liu, A. G. Atkins, G. Jeronimidis

Department of Engineering, University of Reading, Whiteknights, P. O. Box 225, Reading RG6 2AY, UK

J. Appl. Mech 68(5), 758-765 (May 17, 2001) (8 pages) doi:10.1115/1.1387020 History: Received January 21, 1998; Revised May 17, 2001
Copyright © 2001 by ASME
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References

Atkins, A. G., and Mai, Y. W., 1988, Elastic and Plastic Fracture—Metals, Polymers, Ceramics, Composites, Biological Materials, Ellis Horwood, Chichester, UK.
Liu,  J. H., Atkins,  A. G., and Jeronimidis,  G., 1996, “Theoretical Analysis of Large Deformation Simultaneous Tearing and Peeling of Elastoplastic Materials,” Proc. Inst. Mech. Eng., 210, pp. 433–444.
Mai,  Y. W., and Cotterell,  B., 1984, “The Essential Work of Fracture for Tearing of Ductile Metals,” Int. J. Fract., 24, pp. 229–236.
Muscat-Fenech,  C. M., and Atkins,  A. G., 1994, “Elastoplastic Trouser Tear Testing of Sheet Materials,” Int. J. Fract., 67, pp. 69–80.
Muscat-Fenech,  C. M., and Atkins,  A. G., 1994, “Elastoplastic Convergent and Divergent Crack Paths in Tear Testing of Sheet Materials,” Fatigue Fract. Eng. Mater. Struct., 17, pp. 133–143.
Yu,  T. X., Zhang,  D. J., Zhang,  Y., and Zhou,  Q., 1988, “A Study of the Quasi-Static Tearing of Thin Metal Sheets,” Int. J. Mech. Sci., 30, pp. 193–202.
Liu,  J. H., Atkins,  A. G., and Pretlove,  A. J., 1995, “The Effect of Inclined Loads on the Large Deflection Behavior of Elastoplastic Workhardening Straight and Pre-Bent Cantilevers,” Proc. Inst. Mech. Eng., 209, pp. 87–96.

Figures

Grahic Jump Location
(a) tearing and peeling of thin sheets, (b) deformation of strip during the tearing and peeling propagation
Grahic Jump Location
Stress-strain relationship of strip material
Grahic Jump Location
The arrangement for two strips tearing and peeling
Grahic Jump Location
(a) The required length for steady-state tearing and/or peeling specimens made of elastic materials (for loading angle ϕ=π/2), (b) relationship between elastic and elastoplastic beam length required for steady state tearing and/or peeling
Grahic Jump Location
Variation of the mixed nondimensional fracture toughness with the nondimensional external force, 2fβ=2FEI/Me2
Grahic Jump Location
Variation of the external force Fm/H with the beam width B. –: Eqs. (9), (10), and (11); +: experimental result of steel from 2; ○: 5251 aluminum alloy (2) and •: brass (3).
Grahic Jump Location
Variation of nondimensional external force f with nondimensional displacement at the tip of beam yl for elastic tearing and/or peeling. ϕ=π/2; •: initiation point of fracture.

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