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Experimental investigation of the effects of stress rate and stress level on fracture in polystyrene
Authors:B L Gregory  J Botsis
Affiliation:(1) Department of Civil Engineering, Mechanics and Metallurgy, University of Illinois at Chicago, Box 4348, 60680 Chicago, Illinois, USA
Abstract:The effects of stress rate and stress level on fatigue crack propagation in compression-moulded single-edge notched specimens (0.25 mm in thickness) of polystyrene are reported. Values of the stress rate 
$$\dot \sigma$$
are obtained from the formula 
$$\dot \sigma$$
= 2v(sgrmaxsgrmax),, wherev is the frequency and sgrmax, sgrmin are the maximum and minimum stresses of the fatigue cycle. Different levels of 
$$\dot \sigma$$
are achieved by changing the frequency while keeping sgrmax, sgrmin at fixed values. The effect of the stress level is investigated by keeping 
$$\dot \sigma$$
and sgrmin constant and varying sgrmax andv. The results show that when the kinetic data are plotted as Deltal/Deltat against the energy release rateG 1, a relatively small effect of the stress rate is observed. If the same data are treated as Deltal/DeltaN againstG 1, a decrease in Deltal/DeltaN with test frequency is seen. The increase in the level of sgrmax results in a higher crack speed. The critical crack length is found to be practically the same for all stress-rate experiments. A decrease in the critical crack length is observed with the increase in stress level. Analysis of craze distribution around the crack path shows that the extent of crazing decreases with the increase in stress rate and increases with the increase in stress level. For all experimental conditions, the ratio of the second moment to the square root of the fourth moment of the histograms of craze density along directions normal to the crack path is found to be constant throughout the slow phase of crack propagation. This result supports a self-similarity hypothesis of damage evolution proposed in the crack layer model.
Keywords:
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