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. 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P»J3»JJ0Q Ll.' ro ui H < O o X >- o + o» iZ »P8N (oojjv 01 ajnpojj 8|isu»i )0 oa-iv jo O||oy l£ ro LU H < _J Q_ <0 o» iZ « u TJ T> > IM + < { aoodoc30,000 paN JO OOJV O| ®jnj3DJJ P o®JV |0 Of joy M Fig. 12. PLATE 6X I19 - a which was pulled at a pressure of 11,000 'cm In.the course < Fig. 1h. Double neck on a tension specimen from plato 17F. of the experiment it was thought from the nature of the results that the specimen had been pulled to fracture.; but, on opening the apparatus, separation was found to be incomplete, an axial section, through the neck having the appearance indicated in Fig. 1h —■ an open channel through the center with two isthmuses on either side . This configuration would appear to be the result of a combination of high ductility in the sound parts of the metal, imparted by the pressure, and of.strongly segregated impurities, nonductile and probably-, nonmetallic, such as slag. The-location of the inclusions is such as to- show up most strongly for specimens with the Z-orientation, .'but the effect of their presence may be seen also in the fractures of the X-orientation. The shearing-part of these fractures never showed the- clean-cut slip planes characteristic of sound metal, but the surfaces of shearing slip were dotted with minute pits, giving a matt appearance. ■ The pressure at which the' shearing fracture disappears is distinctly lower for the X-orientation of plate 13F than for the other two. In homogeneous plate this may be a significant feature, because one might expect that the total energy to produce fracture would be greater in a material in which the tensile — that is, the brittle — fracture disappears at low compressive stress. This would indicate that plate 13F should be better ballistically than- 20 the other two. However, other disturbing effects arising from lack of homogeneity would appear to be so great as to mask any effects of this kind. In studying the effect of pressure in changing the character of the fracture a number of photographs have been made of longitudinal sections through the tensile specimens of two of .the plates of the second report. The section was made by machining away half the specimen. For convenience in machining and mounting for photographing} the second shoulder of the specimen was first machined off. Figure 15 shows one of the sectioned specimens mounted for photographing. Figures 165 17, 18 and 19 are enlarged views of the neighborhood of the fracture for four specimens from plate Clh which had been ruptured at pressures of 1 atm, 5,000^ 10^000 and 15,000 kg/cm2., respectively. These show in the first place the progressively greater reduction of area as the pressure at which the fracture occurs increases — that is, the increase of ductility with increasing pressure. In the second place} the change in the character of the fracture is clearly shown. The "tensile” part of the fracture is the approximately plane surface perpendicular to the axis; this progressively diminishes in extent, both absolutely and relatively, with increasing pressure, until at 15,600 kg/cm2 it has entirely disappeared and the fracture is all "shearing" in character} with a multiple cone of shear at the center. It is especially to be noticed that the tensile part of the break is situated at the smallest part of the neck,, whereas the shear runs into the outer surface where the neck is larger. 5. Conclusion The final conclusion to be drawn from these measurements} as far as ballistic applications are concerned, is one which,, if it had been anticipated^ would probably have made unnecessary the method of attack of this paper. The present measurements disclose ample reason for the difference in ballistic behavior of the different plates,, but this difference does not depend on anythingFig, 16. Specimen from plate Cli» broken in tension under atmospheric pressure. xl ;>ii - Z3 - Fig, 17. Specimen from plate C12| broken in tension under a hydrostatic pressure of U000 kg/cm2. Fig. 18. Specimen from plate C1li broken in tension under a hydrostatic pressure of 10,100 kg/cm2. Fig. 19• Specimen from plate Clli broken in tension under a hydrostatic pressure of 15,800 kg/cm2.J < '.,e 7 , ■ f' ’ . , ‘ ‘ ■■ t - 25 - as subtle as a difference in the effects of hydrostatic pressure on the physical properties. Rather, it depends on lack of homogeneity due to large scale inclusions} the effect of which can be adequately shown by tensile tests under ordinary conditions at atmospheric pressure on specimens cut in different orientations. In other words3 the bad plates are simply to be described as made from ’’dirty11 steels. This seems to be the conclusion that is also being arrived at from other lines of evidence. It does not follow of necessity that all dirty steels will give plates of bad ballistic propertiesj but., on the other hand., if a plate Is bad ballistically it is pretty likely to be made of a dirty steely in the absence of such obvious characteristics as too brittle a temper3 and so forth. These present experiments show that the effect of pressure in increasing ductility carries over to dirty steels. The effect is differential’ the ductility of the sound part of the metal is increased more than that of the inclusions so that the apparent inhomogeneity may be increased by hydrostatic pressure. A natural expectation would be that fractures in plates made of dirty steels would be initiated at points closer to the projectile than in plates of sounder steels. d * *'