TECHNICAL PAPERS
Mar 1, 1999

Incomplete Frictional Flat-Ended Punch on Half-Plane with Edge Crack

Publication: Journal of Engineering Mechanics
Volume 125, Issue 3

Abstract

Flat-ended or wedge-shaped rigid punch problem is considered in this paper. The punch is with one end sliding and the other end with a sharp corner coming into a half-plane. The model of the punch is that the flat-end punch is inclined by an angle ε or the wedge-shaped punch with ε is pushed vertically. A crack is assumed to be initiated from the end with the corner, and Coulomb's frictional force exists on the contact region. The general solution of the problem is derived in an analytical way, and the relation among the vertical load on the punch, rotating angle of the punch, and the contact length is found. Stress intensity factors of the edge crack are calculated in different cases. The resultant moments at the origin of the coordinates are also calculated, which can be used to decide the position of the vertical force on the punch.

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References

1.
Bakirtas, I. ( 1980). “The problem of a rigid punch on a non-homogeneous elastic half-plane.” Int. J. Engrg. Sci., 18, 597–610.
2.
Bakirtas, I. ( 1984). “The contact problem of an orthotropic non-homogeneous elastic half-space.” Int. J. Engrg. Sci., 22, 347–359.
3.
England, A. H. ( 1971). Complex variable methods in elasticity. Wiley, New York.
4.
Fabrikant, V. I. ( 1986a). “Flat punch of arbitrary shape on an elastic half-space.” Int. J. Engrg. Sci., 24, 1731–1740.
5.
Fabrikant, V. I. ( 1986b). “Inclined flat punch of arbitrary shape on an elastic half-space.” J. Appl. Mech., ASME, 53, 798–806.
6.
Fan, C. W., and Hwu, C. ( 1996). “Punch problems for an anisotropic elastic half-space.” J. Appl. Mech., ASME, 63, 69–76.
7.
Galin, L. A. ( 1961). Contact problems in the theory of elasticity. Translated by I. N. Sneddon, North Carolina State College, Raleigh, N.C.
8.
Gladwell, L. A. ( 1980). Contact problems in the theory of elasticity. Sijthoff and Noordhoff, The Netherlands.
9.
Hasebe, N., and Iida, J. ( 1978). “A crack originating from a triangular notch on a rim of a semi-infinite plate.” Engrg. Fracture Mech., 10, 773–782.
10.
Hasebe, N., and Inohara, S. ( 1980). “Stress analysis of a semi-infinite plate with an oblique edge crack.” Ingenieur Archiv., 49, 51–62.
11.
Hasebe, N., Okumura, M., and Nakamura, T. (1989). “Frictional punch and crack in plane elasticity.”J. Engrg. Mech., ASCE, 115(6), 1137– 1149.
12.
Hasebe, N., Okumura, M., and Nakamura, T. ( 1992). “Bonded bi-material half-planes with semi-elliptical notch under tension along the interface.” J. Appl. Mech., ASME, 59, 77–83.
13.
Hasebe, N., Nakamura, T., and Ito, Y. ( 1994). “Analysis of the second mixed boundary value problem for a thin plate.” J. Appl. Mech., ASME, 61, 555–559.
14.
Hills, D. A., and Nowell, D. ( 1994). Mechanics of fretting fatigue. Kluwer, Dordrecht, The Netherlands.
15.
Johnson, K. L. ( 1985). Contact Mechanics. Cambridge University Press, Cambridge, U.K.
16.
Keer, L. M., and Schonberg, W. P. ( 1986a). “Smooth indentation of an isotropic cantilever beam.” Int. J. Solids Struct., 22, 87–106.
17.
Keer, L. M., and Schonberg, W. P. ( 1986b). “Smooth indentation of a transversely isotropic cantilever beam.” Int. J. Solids Struct., 22, 1033–1053.
18.
Kuo, C. H., and Keer, L. M. ( 1992). “Contact stress analysis of a layered transversely isotropic half-space.” J. Tribology, 114, 253–262.
19.
Muskhelishvili, N. I. ( 1963). Some basic problem of mathematical theory of elasticity. Noordhoff International, Groningen, The Netherlands.
20.
Okumura, M., Hasebe, N., and Nakamura, T. (1990). “Crack due to wedge-shaped punch with friction.”J. Engrg. Mech., ASCE, 116(10), 2173–2185.
21.
Shibuya, T., Koizum, T., Takakuda, K., and Takagi, T. ( 1982). “A partial contact in an elastic half-space indented slantingly by a circular rigid punch.” Trans. Japan Soc. Mech. Engrs., Series A, 48(425), 65–72.
22.
Shield, R. T. ( 1987). “Variational principles for some nonstandard elastic problems.” J. Appl. Mech., ASME, 54, 768–771.

Information & Authors

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Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 125Issue 3March 1999
Pages: 300 - 306

History

Received: Oct 7, 1996
Published online: Mar 1, 1999
Published in print: Mar 1999

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Authors

Affiliations

Member, ASCE,
Prof., Dept. of Civ. Engrg., Nagoya Inst. of Tech., Gokiso-cho, Showa-ku, Nagoya 466, Japan.
Civ. Engr., Ishikawa Harima Heavy Industry, Toyosu 2-1-1, Kotoku, Tokyo 135, Japan.
Civ. Engr., Stellate Systems, Inc., 345 Victoria Ave., Ste. 300, Montreal, Canada.

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