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At high stress levels the creep strain rate for many materials varies as the exponential of stress while at low stress levels it varies as stress to some power. An analysis is presented for a stationary crack under antiplane shear or Mode III loading in a material that deforms both elastically and by hyperbolic-sine-law creep, ˙εc ∝ [sinh (σ/σ0)]n. The asymptotic crack-tip stress intensification is weaker and the strain-rate intensification is stronger than for a power-law creeping material. The elastic stress-intensity factor KIII (for low applied loads) and the path-independent integral C* are shown to be the relevant short-time (small-scale yielding) and long-time (extensive creep) loading parameters as in the power-law case.
elevated temperature fracture, creep fracture, hyperbolic-sine creep law, small-scale yielding, stress analysis, elastic-plastic fracture
University of Pennsylvania, Philadelphia, Pa.