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Consider a tensile bar that was machined so that most of the gauge section was 1.00 cm in diameter. One short region in the gauge section has a diameter 1/2% less (0.995 cm). Assume the stress-strain curve of the material is described by the power law with K = 330 MPa and n = 0.23 and the ?ow stress is not sensitive to strain rate. The bar was pulled in tension well beyond maximum load and it necked in the reduced section.
A. Calculate the diameter away from the reduced section.
B. Suppose that an investigator had not known that the bar initially had a reduced section and had assumed that the bar had a uniform initial diameter of 1.00 cm. Suppose that she measured the diameter away from the neck and had used that to calculate n. What value of n would she have calculated?
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