By John George Williams
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There is independent experimental evidence that the strains at the neck are distributed with approximate uniformity. Ν. N. Davidenkov and Miss Ν. I. Spridonova, 1 in a paper in which they object to my 1 Ν. N. Davidenkov and Ν. I. Spridonova, Proc. ASTM, 46, 1-12, 1946. Brought to you by | University of Arizona Authenticated Download Date | 12/30/15 12:41 PM STRESS DISTRIBUTION AT NECK 21 "assumption" of uniform strain across the neck, apparently not being familiar with my experimental justification as described above, themselves offer experimental evidence for the uniformity of the strain.
2 under steels 9-7 and 9-8, showed that a/R does not depend perceptibly on the pressure of pulling. Figure 8 shows the degree of independence of pressure. Furthermore, if a specimen is pulled under high pressure, pressure released, and pulling resumed at atmospheric pressure, the a/R values will lie on the same curve. It was also established that a/R falls on the same curve for specimens fractured in tension after a prestraining in simple compression. The single curve thus appears to reproduce the experimental results over a wide range of conditions.
099 1 + y^a/R) Ύ than the "average tension," which is ordinarily used. The factor by which the average tension is to be multiplied to obtain the flow stress F may be called the "correction factor" and by Eq. (1-13) is equal to [1 + 2(β/α)] log [(1 + y2(a/R)} a/R and is shown graphically in Fig. 6. 0 a/R FIG. 6. The " correction f a c t o r " as a function of the radius of curvature of the contour at the neck. Since the correction factor is less than unity, the strain-hardening curve will rise less rapidly with strain when flow stress is plotted against strain than when the average tension is plotted against strain.