Abstract
A recently proposed elastoplastic constitutive model has been implemented in a finite element code to study crack front behaviour under variable loading. The importance of proper modelling of a material's behaviour becomes evident when a variable loading condition is considered. We present stress, strain and displacement distribution along a stationary crack front for constant amplitude cyclic loading with an overload cycle. The analysis predicts a decreased tensile stress and damage accumulation following an overload.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
F. Ellyin, Theoretical and Applied Fracture Mechanics 4 (1985) 83–96.
D. Kujawski and F. Ellyin, International Journal of Fracture 36 (1988) 137–144.
M.A. Eisenberg, Journal of Engineering Materials and Technology, ASME 98 (1976) 221–228.
J.L. Chaboche, et al., Transactions 5th SMiRT, L11/3 Berlin (1979).
D.C. Drucker and L. Palgen, Journal of Applied Mechanics, ASME 48 (1981) 479–485.
Z. Mroz, Acta Mechanica 7 (1967) 199–212.
Y.F. Dafalias and E.P. Popov, Journal of Applied Mechanics, ASME 43 (1976) 645–651.
D.L. McDowell, Journal of Applied Mechanics, ASME 52 (1985) 308–398.
A. Phillips, International Journal of Plasticity 2 (1986) 315–328.
F. Ellyin and J. Wu, in A Description of Elasto-Plastic Behaviour Based on Memory and Yield Surface in Plane Stress State, C.S. Desai (eds.), Elsevier, New York (1987) 531–538.
F. Ellyin, Journal of Applied Mechanics, ASME 111 (1989) 499–507.
F. Ellyin and Z. Xia, in Elastoplastic Stress-Strain Relation Based on a New Anisotropic Hardening Model, EGF 5, J.P. Boehler (ed.), Mechanical Engineering Publ., London (1990) 155–169.
F. Ellyin and Z. Xia, Journal of Mechanics and Physics of Solids 37 (1989) 71–91.
Z. Xia and Z. Ellyin, Journal of Applied Mechanics, ASME 58 (1991) 317–325.
D.M. Tracey, Journal of Engineering Materials and Technology, ASME 98 (1976) 146–151.
R.M. McMeeking, Journal of the Mechanics and Physics of Solids 25 (1977) 357–381.
A. Needleman and C.F. Shih, Computer Methods in Applied Mechanics and Engineering 15 (1978) 223–240.
C.F. Shih and M.D. German, International Journal of Fracture Mechanics 17 (1981) 27–43.
R. Narasimhan and A.J. Rosakis, Journal of Mechanics and Physics of Solids 36 (1988) 77–117.
K.J. Bathe, (ed.), Journal of Computers and Structures 21 No. 1/2 (1985).
R.W. Landgraf, J. Morrow and T. Endo, Journal of Materials, ASTM 4, No. 1 (1969) 176–188.
V.B. WatwoodJr., Nuclear Engineering and Design 11 (1969) 323–332.
D.N. Fenner, Engineering Stress Analysis, Ellis Norwood Ltd., Chichester, England (1987).
N.A. Fleck, Engineering Fracture Mechanics 25 (1986) 441–449.
A.T. Zehnder and A.J. Rosakis, International Journal of Fracture 30 (1986) R43-R48.
J.R. Rice, in Fracture, H. Liebowitz (ed.), Vol. 2, Mathematical Fundamentals, Academic Press, New York (1968) 191–311.
G.R. Irwin, in Fracture, Encyclopaedia of Physics, S. Fluge (ed.), Springer Verlag, Berlin (1958) 551–589.
D.L. Davidson and J. Lankford, Journal of Engineering Materials and Technology 98 (1976) 24–29.
N.A. Fleck, in Basic Questions in Fatigue, Vol. I, J.T. Fong and R.J. Fields (eds.), ASTM STP 924, Philadelphia, PA (1988) 157–183.
F. Ellyin, Res Mechanica 25 (1988) 1–25.
K. Golos and F. Ellyin, Journal of Pressure Vessel Technology, ASME 110 (1988) 36–41.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ellyin, F., Wu, J. Elastic-plastic analysis of a stationary crack under cyclic loading and effect of overload. Int J Fract 56, 189–208 (1992). https://doi.org/10.1007/BF00012327
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00012327