Abstract
We analyze the crack-tip near field for a crack propagating under steady-state, quasi-static, antiplane strain conditions in a viscoplastic material. The constitutive model employed is a state variable model due to Robinson, which displays kinematic hardening characteristics, and which allows for the possibility of elastic unloading. Given a continuity assumption on the state variable components across the loading/unloading boundary, we find that the crack-tip near field is completely uninfluenced by conditions in the remote field. This conclusion is in agreement with earlier analyses in which the possibility of an elastic unloading zone was not admitted.
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References
C.Y., Hui and H., Riedel, International Journal of Fracture 17 (1981) 409–425.
T.C., Chang, C.H., Popelar and G.H., Staab, International Journal of Fracture 30 (1986) 157–174.
T.J., Delph and G.A., Stengle, International Journal of Fracture 40 (1989) 295–305.
W., Yang and L.B., Freund, International Journal of Fracture 30 (1986) 157–174.
D.L. Robinson, ORNL/TM-5969, Oak Ridge National Laboratory (1978).
S. Kubo, in Elastic-Plastic Fracture, Second Symposium, Vol. I, ASTM STP-803, C.F. Shih and J.P. Gudas (eds.) (1983) 594–614.
T.J., Delph, ASME Journal of Engineering Materials and Technology 102 (1980) 327–336.
P. Ponte, Castañeda, Journal of the Mechanics and Physics of Solids 35 (1987) 227–268.
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Delph, T.J. The steadily propagating viscoplastic crack with elastic unloading. Int J Fract 68, 183–191 (1994). https://doi.org/10.1007/BF00032466
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DOI: https://doi.org/10.1007/BF00032466