Pr 32.413/3:1868 CONFIDENTIAL DECLASSIFIED NATIONAL DEFENSE RESEARCH COMMITTEE ARMOR AND ORDNANCE REPORT NO. A-218 (OSRD NO. 1868) DIVISION 2 THIRD PROGRESS REPORT ON PLASTIC DEFORMATION OF STEEL UNDER HIGH PRESSURE by P. W. Bridgman This document contains information affecting the national defense of the United States within the meaning of the Espionage Act, U.S.C., 50, 31 and 32. Its transmission of the revelation of its contents in any manner to any unauthorized person is prohibited by law. LIBRARY UNIVERSITY OF WASHINGTON NOV 14 1950 Copy No. 87 CONFIDENTIALARMOR NATIONAL DEFENSE RESEARCH COMMITTEE AND ORDNANCE REPORT NO. A-218 (OSRD NO. 1868) DIVISION 2 THIRD PROGRESS REPORT ON PLASTIC DEFORMATION OF STEEL UNDER HIGH PRESSURE by P. V . Bridgman Approved on September 23, 19R3 for submission to the Division Chief A IV gDjz P. V:. Bridgman, Consultant Division 2 Merit P. White, Secretary Division 2 Approved on September 23, 1Rh3 for submission to the Committee GOMTDENT1AL ^2J '^'7 Zp1 £ c ‘ c. - John E. Burchard, Chief Division 2 Structural Defense and OffenrPreface The work described in this report is pertinent to the project designated by the Navy Department Liaison Officer as NO-11 and to Division 2 project P2-3O2. This work was carried out and reported by Harvard University as part of its performance under Contract 0EKsr-201. Initial- distribution of copies of the report Nos. 1 to 25, inclusive, to the Office of the Secretary of the Committee for distribution in the usual manner; No. 26 to R. C. Tolman, Vice Chairman3 NDRC; No. 27 to R. Adams, Member, NDRC No. 28 to F. B. Jewett, Member, NDRC; Io. 29 to J. E. Burchard, Chief, Division 2; No. 30 to W. Bleakney, Deputy Chief, Division 2; No. 31 to O’. F. Davidson, Office of the Chairman, NDRC; No. 32 to R. A. Beth, member, Division 2; No. 33 to H. L. Bowman, Member, Division 2; No. 3h to C. W. Curtis, Member, Division 2; No. 35 to C. W. Lampson, Member, Division 2; No. 36 to W. E. Lawson, Member, Division 2; No. 37 to H. P. Robertson, Mission London; No. 38 to F. Seitz, -’ember, Division 2; No. 39 to A. H. Taub, Member, Division 2; No. l>0 to E. 3. Mils on, Jr. Member, Division 2; Nos. hl and h2 to R. J. Slutz, Technical Aide, Division 2; ?To. h3 to Army Air Forces (Brig. Gen. B. W. Chidlaw); Nos. hh and h5 to Corns of Engineers (Col. J. H. Stratton, Lt. Col. F. S. Besson, Jr.); No. h6 to Ordnance Department (Col. S. B. Ritchie); No. h7 to H. P. White, Technical Aide, Division 2; No. h8 to Corps of Engineers (Lt. Col. S. 3. Smith); No, h9 to Watertown Arsenal (Col. H. H. Zornig); No. pO to Aberdeen Proving Ground (0. Veblen);Nos. 3l and 32 to Bureau of Ordnance (Lt. Comdr. T. J. Flynn, A. We rtheimer) ; No. 33 to U. S. Naval Proving Ground (Lt. Comdr. R. A. Savyer); No. 33 to David Taylor Hodel Basin (Capt. W. P. Roop); No. 33 to Bureau of Ships (Lt. Comdr. R. VI. Goranson); No.. 36 to Bureau of Yards and Docks (War Plans Officer); No. 37 to U.S. Naval Research Laboratory (R. Gunn); No. 38 to D. S. Clark5 Consultant, Division 2; No. 39 to A. Nadal, Consultant3 Division 2; No. 60 t ' P. VI. Bridgman, Consultant, Division 2. » The NDRC technical reports section for armor and ordnance edited this report and prepared it for duplication.contents Pag -Abstract Section Introduction ............................ • Distribution of stress across the nocked specimen ............................... Relation between flow stress and natural strain ................................. Detailed results and discussion ......... Conclusion ............ 20 List of Figure Fi igurc 7. Two curves relating to the effects of necking in tension specimens .................. h Corrected true stress at fracture and maximum pressure during pulling versus natural strain for plate 18A............. 1 £ Ratio of area of tensile fracture to area of neck versus maximum pressure during pulling for plate 18A ............... 1 $ Corrected true stress at fracture and maximum pressure during pulling versus natural strain for plate 13-7................ 16 Ratio of area of tensile fracture to area of neck versus maximum pressure during pulling for plate 137................... 16 Corrected true stress at fracture end maximum pressure during pulling versus natural-strain for plate 17?......... 17 Ratio of area of tensile fracture to area of neck versus maximum pressure during pulling f or plate 177........................... 17Figure 11 ,12. 13. Ih. 19. 16-19. Corrected true stress at fracture and maximum pressure during pulling versus natural strain for plate 6X1 ...................... 18 Ratio of area of tensile fracture to area of neck versus maximum pressure during pulling for plate 6X1 .......................... * 1 8 Double neck on a tension specimen from plate 17F .................................. 19 Photograph that shows the method of sectioning a tension specimen ..................... 21 Specimens from plate Clli broken in tension under atmospheric pressure; and under hydrostatic pressures of IjOOO, 10,100 end 1 9,800 kg/cm2 ......................... 21,23THIRD PROGRESS REPORT ON PLASTIC DEFORMATION OF STEEL UNDER HIGH PRESSURE Abstract Tests of the mechanical properties of steels under high hydrostatic pressure which were described in previous reportsl^/were continued, using four samples' of armor plate of varying ballistic qualities. The conclusion, in accord with the results of other lines of investigation, is that ballistic behavior is closely associated with' fairly obvious characteristics —- such as inhomogeneity, brittleness, and so forth — which can be investigated by standard methods. The conclusions regarding strain hardening and conditions for fracture, given in the earlier reports, have been improved, but not essentially changed, by considering the true stress state in the neck of a tensile specimen, 1 Introduction The present work constitutes an attempt to. answer one of the original questions that was deemed important when this.program was initiated, namely, whether by taking account of the properties of plate under pressure it might be possible to anticipate ballistic failure. The question was of interest because at that time'thebe were many cases of obscure correlation between ballistic failure and the more usual physical properties? but It could not be-' 1 2/ answered in the two earlier reports—~ because samples of plate-which had.failed to meet the ballistic tests were not then available. In this:report data are given for the effect of hydrostatic pressure on the tensile properties of four samples of-armor plate. 1/ P. W. Bridgman, Plastic deformation of steel under: high pressure, NDRG Report A-?5’ (OSRD No. 91R). '' 2/ P. rt. Bridgman, Second progress report on plastic tion of steel under high pressure, NDRG Report A-162 (OSRD deforma- No.2 •H -P O a? p •H rd o -p p P P o o •H "P P 0 P P 0 P w p 0 6 •H O 0 P w 44 £ 0 bfl -P P cd •H r—1 i—1 Ph H O
. and this is also the strain-hardening curve if the total stress system is the sum of F and a hydrostatic term. It Is shown in the paper mentioned that F is obtained by dividing the conventional average tensile stress — that is, the total tensile load divided by the cross-sectional area at the neck — by (1 + 2 ~) loge (1 + l|p-. The reciprocal of this expression is the "correction factor" shown in Fig. 1.
Fracture} unlike plastic flow before fracture, does not occur uniformly across the neck but is initiated at a particular point' on tru axis,, where the total stress system has a uniquely determined value. How it is well established by experiment that fracture, unlike plastic flow,, is strongly dependent on; the hydrostatic component of the total stress system, the strain at fracture increasing greatly with superposed hydrostatic pressure. In order to cnaracterize completely the conditions of fracture in a tensile test,, three parameters should be given: the strain, the simple tensile component,, F, and the hydrostatic component, F log (1 +
— . - 3 bQ \ p /
This complete.specification■could not'be''given before the correction for necking was known.
Ii the tensile test is made in a medium under hydrostatic pressure, then the complete stress system is the sum of three systems, the two just considered and the imposed hydrostatic pressure, inis imposed hydrostatic pressure does not affect the flow parameters, and the strain hardening curve is still to be specified by giving F as a function of the strain at the neck.
The hydrostatic component of the stress at fracture is now, however, the hydrostatic tension arising from the necking, which is equal to Floge(1 + minus the Imposed hydrostatic pressure.- 8 -
We pass now to a consideration of the actual measurements.
The detailed arrangements of the experiments of this third report} <
including the dimensions of the specimens,, were exactly like those
in the second reporty^
Li. Detailed results and discussion
The results are summarized in Tables II to and Figs. 2 to 1b. As in the previous report, each entry or point in a diagram is a condensation of an entire curve3 consisting of 10 to 20 readings of tensile load,, hydrostatic pressure and extension. It is not necessary to reproduce the original curves in detail; the significant parameters of these curves are the data given here.
Most of the entries in the tables are self-explanatory. The "Corrected true stress at fracture" of column 9 is the same as the F of Sec. 3. The "Hydrostatic tension on axis arising from necking" of column 10 is Flog8(1 + i I?) • The "Net hydrostatic tension
h,
on axis" of column 11 is column 10 minus the maximum corresponding
pressure of column 2-. The "Net tension at fracture" of column 12 i
is column 9 plus column 11. The values listed in the tables for atmospheric pressure agree fairly 'well with the value reported by Gensamer, obtained under different experimental conditions.
(a) Relation between true stress at fracture and natural strain at the neck. — These new results in the first place substantiate results previously found. Consider, for example3 Figs. 2, 3^ 8 and 11. In these the true stress at fracture,, corrected for the- nonuniformity of the stress distrioution at the neck, appears to be a linear function of the natural strain at the neck at fracture. In the previous report the uncorrected true stress was also found to be such a linear function. All the test pieces of the present report were pulled to fracture; in previous work the tests were often not carried to fracture, and it was found that the stress-strain relation below fracture follows the same linear relation as that which represents the fractures. In other words, the corrected true stress at the neck, plotted against
6/ Reference 2.- 9 -
the running natural strain at the neck, moves along the straight lines of the figures as strain increases during the course of an experiment. Fracture is a catastrophe that suddenly terminates the experiment without the running point leaving the line or without any other warning. This means that the lines of Figs. 2,
8 and 11 are essentially concerned with the phenomena of plastic flow and strain-hardening and not with fracture. This is emphasized further by reference to the effect of orientation.
(b) Dependence of strain-hardening and fracture phenomena on orientation. — In Figs, 2, > and 8, the points for the three orientations all lie on the same lines independent of the orientation, which means that for a given natural strain the true stress and therefore the strain-hardening is independent of orientation. However, specimens with different orientations vary in their fracture phenomena. For example, the X-direction of plate 13F breaks under atmospheric pressure at a corrected true stress of 15,300 kg/cm2, whereas the corresponding fracture stress for the Z-direction is only 10,600 kg/cm2. Although fracture in the Z-direction occurs before fracture in the X-direction, up to the instant of fracture the stress-strain curves for the two directions have been identical. The natural strain at fracture for the X-direction is 0.936, and that for the Z-direction much less,
only 0.275.
(c) Numerical parameters of the strain-hardening curves. —
The numerical parameters of the strain-hardening curves of the four different plates differ only slightly, Vye may take for these parameters (i) the value of the flow stress at a natural strain
of 0.1, which is approximately the point where necking begins in a tension specimen, and (ii) the stress at a natural strain of 3.0. The latter parameter is probably the more significant of the two under the conditions of armor penetration because it indicates the resistance at high degrees of distortion. The stress at a natural strain of 0.1 for the plates 18A, 13F, 17F and 6x1 is, respectively, 12,500, 10,000, 10,h00 and 7,000 kg/cm2, and theTable II. Sunmary of tension tests under pressure on plate 18A
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