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Transient crack growth in an elastic/power-law creeping material is investigated under plane-strain Mode I loading and small-scale-creep conditions. At time t = 0, the solid with a semiinfinite crack is suddenly loaded by tractions corresponding to the elastic crack-tip stress distribution. Both constant and variable crack-tip velocities are considered. In the variable velocity case, the crack propagates based on a critical strain criterion. The stress fields evolve in a complex manner as the crack propagates because of competing effects of stress relaxation, due to constrained creep, and stress elevation, due to the instantaneous elastic material response to crack growth. In both cases, detailed finite-element calculations show that the stress field can be approximated by a matching of three asymptotic singular crack-tip solutions. Also, the predicted crack growth histories from a one-dimensional damage model coupled with this matching are summarized.
creep crack growth, elevated temperature fracture, small-scale yielding, power-law creep, Mode I fracture, stress analysis, elastic-plastic fracture, nonlinear fracture mechanics, fracture mechanics
Associate professor, University of Pennsylvania, Philadelphia,
Postdoctoral fellow, Harvard,
Staff engineer, IBM Corp., Fishkill, NY