Abstract
An energy-based method is utilized for calculating elastic-plastic strains and stresses near fatigue crack tip in specimens of Merlon polycarbonate. The stress redistribution caused by the plastic yielding around the crack tip is taken into account so that theoretical crack tip strain is improved. The estimated values of crack tip strain based on an energy density approach are compared with experimental results obtained from an embedded grid moire technique and embedded strain gages. Large-scale yielding seems to dominate near the crack tip. In fact, the measured strain is in agreement with the elastic solution, which means, in reality, only small-scale yielding takes place near the crack tip. The strain in the mid-plane (plane strain) is found to be higher than in the surface plane (plane stress). The experimental and theoretical results are in good agreement.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
G.R.Irwin, Journal of Applied Mechanics 24 (1957) 361–364.
G.R. Irwin, Proceedings Sagamore Ordanance Material Research Conference IV (1960) 63–79.
J.R.Rice, Journal of Applied Mechanics 35 (1968) 379–386.
J.R.Rice and G.R.Rosengreen, Journal of the Mechanics and Physics of Solids 16 (1968) 1–12.
H.Neuber, Journal of Applied Mechanics 28 (1961) 544–550.
H.F. Hardrath and L. Ohman, ‘A study of elastic and plastic stress concentration factors due to notches and fillets in flat plates’, NASA report 117 (1953).
E.Z. Stowell, ‘Stress and strain concentration at a circular hole in an infinite plate’, NASA Technical Note, No. 2073 (1950).
K.Molski and G.Glinka, Materials Science and Engineering 50 (1981) 93–100.
D. Kujawski and F. Ellyin, in Proceedings 8th International Conference on Structural Mechanics in Reactor Technology, Brussels, paper L 4/3 (1985) 173–178.
F.Ellyin and D.Kujawski, RES Mechanica 20 (1987) 177–190.
J.D. Morrow, R.W. Wetzel and T.H. Topper, ASTM STP 462 (1970) 79–91.
M.Hoffman and T.Seeger, Journal of Engineering Materials and Technology 107 (1985) 250–260.
G.Glinka, Engineering Fracture Mechanics 22 (1985) 834–854.
B.N.Leis and N.D.Frey, Proceedings of the Society for Experimental Stress Analysis 39 (1982) 287–295.
B.N.Leis, C.V.B.Gowda and T.H.Topper, Journal of Test Evaluation 1 July (1973) 341–348.
S. Paleebut, ‘An Experimental Study of Three Dimensional Strain Around Cold Worked Holes and in Thick Compact Tension Specimen,’ Ph.D. thesis, Michigan State Univesity, E. Lansing, MI (1982).
G.L. Cloud and S. Paleebut, in Proceedings V International Congress on Experimental Mechanics, Montreal, Canada, Society for Experimental Mechanics, June 1984, 111–116.
G.L.Cloud, Experimental Mechanics 20(8) (1980) 265–272.
J.W.Hutchinson, Journal of the Mechanics and Physics of Solids 16 (1968) 13–31.
J.A.H. Hult and F.A. McClintock, in Proceedings, 9th International Congress of Applied Mechanics, 8, Brussels (1956) 51–58.
D.T. Raske and J.D. Morrow, ASTM STP 465 (1969) 1–26.
Standard E-606–77, Annual Book of ASTM Standards, part 10, American Society for Testing and Material (1977) 614–631.
G.Glinka, Engineering Fracture Mechanics 22(3) (1985) 485–508.
J.W.Hutchinson, Journal of Applied Mechanics 50 (1983) 1042–1051.
M.Creager and P.C.Paris, International Journal of Fracture Mechanics 3 (1967) 247–252.
N.E. Dowling, W.R. Brose and W.K. Wilson, in Advances in Engineering, vol-6, R.M. Wetzel (ed.), SAE, (1979) 55–84.
S. Dhar and G.L. Cloud, Engineering Fracture Mechanics (1990) accepted.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Dhar, S., Cloud, G.L. Energy density approach for calculation of three-dimensional inelastic strain and stress at the crack tip in compact tension specimens of polycarbonate. Int J Fract 53, 229–248 (1992). https://doi.org/10.1007/BF00017338
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00017338