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By Sir Robert Hadfield

Introduction.-I esteem it a great honor to be asked by this Institute to give them an address chiefly devoted to metallurgy. While it is with great regret that I find myself unable to be present to deliver this in person, I take this opportunity of wishing your society every success in its continued career of usefulness to the metallurgists of the great Republic. To be elected, eight years ago, along with Dr. J. E. Stead, F. R. S., as one of your Honorary Members, was a privilege which I greatly esteemed, for I consider that no society in America has done so much as ours for the advancement of metallurgy. Those who have Served our Society.-Where many have served so well, it is difficult, without appearing to make unavoidable distinctions, to select names from those of your members who have done so much for the cause we have at heart-the advance and progress of metallurgy. As typical, however, and not in any way meant as a complete list, there are among others the following names which in the past and to-day stand out prominently in this science of ferrous metallurgy. With most of those now mentioned I have personally come in contact, or by correspondence in some few cases, and have exchanged views, since I first came over to America 30 years ago. Holley; Jones; Weeks; Andrew Carnegie; Thomas Carnegie; Fritz; Sterry Hunt;. Egleston; Maunsel White and Taylor, who did so much for high-speed tool steel, and helped to revolutionize machine-shop practice; W. J. Taylor; Robert Hunt; Alfred Hunt of Pittsburg, who did so much in the early history of aluminum, and, alas! did. not live to see the wonderful progress which has been made in that particular branch of metallurgical industry; James Douglas; C. B. Dudley; Birkinbine; Howe; Metcalf; Barus; Langley; Raymond; P. H. Dudley; H. H. Campbell; W. R. Webster; E. D. Campbell; Talbot; Spilsbury; Gayley; Dinkey, under whose supervision and responsibility modern armor has been so successfully produced in this country, which the writer can testify from personal knowledge of , test results possesses very high Figure of Merit; Schwab; Kennedy; Wellman; Garrison; Wood; Moldenke; Webster; Swank; Unger; Richards; Sauveur; Strat-

Jan 5, 1914

ZAY JEFFRIES, who has been awarded the Douglas medal, established in 1922 by a group of the friends of the late James Douglas for distin-guished achievement in non-ferrous metallurgy, is one of the most notable graduates of the South Dakota School of Mines where he took his B. S. degree in 1910. The following year he was manager of the Ideal Mining Co., at Custer, and in 1911 he became instructor in metallurgy at the Case School of Applied Science, Cleve-land, where he remained until 1917, and in 1918 he took his D. Sc. degree at Harvard. During all this period he was engaged in experi-mental and consulting work for the Electric Railway Improvement Co., t h e Cleveland Steel Tool Co., the W. S. Tyler Co., the Lincoln Electric Co., the Aluminum Castings Co., and the Cleveland wire di-vision of the General Elec-tric Co. He is now en-gaged in general consulting work, especially for the Aluminum Co. of America, the General Electric Co., and the National Tube Co. He has contributed to the Transactions papers on the determination of grain size in metals (with A. H. Kline and E. B. Zimmer) LIV, 594; grain growth phenomena in metals, LVI, 571; the tungsten-molyb-denum equilibrium diagram and system of crystalliza-tion, LVI, 600; grain size inheritance in iron and carbon steel, LVIII, - 669; effect of temperature, de-formation and grain size on the mechanical properties of metals, LX, 474; metallography of tungsten, LX, 588; physical changes in iron and steel below the thermal critical range, LXIII, and LXVII, 56; and the trend in the science of metals, LXX, 303. In addition to participating freely in the discussion of other papers before the Institute he has found time to contribute notable papers to the Institute of Metals (Great Brit-ain), the principal technical journals, and to write a book on "The Science of Metals" in collaboration with R. S. Archer.

Jan 2, 1927

The one hundred and twentieth meeting of the Institute was held at Chicago, Sept. 22 to 26, inclusive, and was in every way success although the steel strike against the United States Steel Corpn. prevented many engineers from attending the steel session and made necessary the annulment of the trip to the steel works at Gary on Tuesday. All of the meetings were held at the Congress Hotel, with the excep-tion of the session on Non-ferrous Metallurgy which was held at the Coliseum where the Fifth National Exposition of Chemical Industries was in progress. This session was a joint one with the American Electro-chemical Society. The total attendance, as shown by the registration, was 850.

Jan 11, 1919

ALBERT SAUVEUR, Chairman. A. A. STEVENSON, Vice-Chairman. HERBERT M. BOYLSTON, Secretary, Abbot Bldg., Cambridge, Mass. John Birkinbine, William Kelly, J. S. Unger, William H. Blauvelt, Charles Kirchhoff, Felix A. Vogel, James Gayley, Richard Moldenke, Leonard Waldo, Henry D. Hibbard, Joseph W. Richards, William R. Walker, Henry M. Howe, C. F. W. Rys, William R. Webster, Robert W. Hunt, E. Gybbon Spilsbury, Frederick W. Wood. J. E. Johnson, Jr., The innovation of a special meeting under the auspices of the Iron and Steel Committee was well justified, if we accept as a criterion the number of papers presented at the meeting held on Oct. 16 and 17 in New York and the attendance at that meeting. Twenty-four papers were read, and most of these were widely discussed orally, while doubtless the written discussions will be even larger in extent. Discussions will be received up to Dec. 1, 1913. The attendance at the meeting of 106 members and 75 guests is an evidence of the wide anti growing interest in the Institute of men interested chiefly in iron and steel. It is especially interesting to note this large attendance at a meeting where very little of a social nature was introduced into the program. An informal dinner for the men at the Engineers' Club closed the meeting. At this dinner were present about 70 members and guests. One of the Vice-Chairmen and the Secretary of the new Committee on Petroleum and Gas told of the important plans in prospect of that Committee. Brief impromptu speeches by a considerable number of the members and guests were enjoyed. Professor Marburg reiterated his previous assertion that he believed that the Institute and the American Society for Testing Materials, as well as some of the other technical societies, were all fighting for one good cause; that there was room in the field for all of these societies with their various points of view; and that they should march shoulder to shoulder. The success of this dinner was due largely to the efforts of Mr. Johnson who had the affair in charge.

Jan 11, 1913

By R. B. Woodworth

Discussion of the paper of R. B. Woodworth, presented at the New York meeting, February, 1916, and printed in Bulletin No. 107, November, 1915, pp. 2247 to 2312. R. B. WOODWORTH, Pittsburgh, Pa.-This is a very long paper. It is a structural engineer's contribution to the art of mining and is written from his standpoint rather than from that of the mining engineer, and is, therefore, a study in the development of drilling structures by one who has made it his business to design structures rather than mechanism and machinery and rather than to utilize those structures in the actual exploitation of oil and gas. Drilling practice varies widely in different oil and gas fields. The , problems of western Pennsylvania are much simpler than the problems of the Mid-Continent and of the Gulf Coastal Plain and these again are simpler than problems of the Pacific Coast. The history of the commercial development of oil and gas is recorded in the annual publications of the U. S. Geological Survey and other bodies whose business it is to make record of statistics. The mechanical and structural features of the art of drilling have not yet received adequate treatment by the historian. Scattered references may be found on the subject in almost any work dealing at large with petroleum and its production. These references, however, are to those particular aspects of the matter that were contemporary with the publications themselves, but so far as I am aware there is no continuous and comprehensive account written of the development of drilling structures from their beginnings down to the present time, and certainly the more modern application of steel in the construction of such structures has not previously had an adequate discussion. With this latter phase of the subject I have been intimately associated, indeed, taking to myself the credit for having, in a way, been responsible more than any one else in the United States for the application of steel in the manufacture of drilling structures, and the purpose of the paper which is now before you is to record particularly the steps in that development while the subject is still fresh and the data available.

Jan 5, 1916

By Everett Carpenter

THE average daily production of crude oil-in Kansas a1 the beginning of the year was about 71,000 1 bbl. and, at its close, 82,000 bbl.-an increase of 11,000 bbl. per day. The total production for the state during the year was about 28,250,000 bbl., or an average of practically 77,500 bbl. per day for the year. This increase in the production was the result of the discovery of several new pools of high-grade oil. COWLEY AND SUMNER COUNTIES One of the principal factors in bringing the production of the. state back to its former level was the newly discovered pools in western Cowley County. During December, 1923, the Waite Phillips Co. completed its Johnson No. 1 in Sec. 20, T. 33 S., R. 3 E., which opened up the Rainbow pool about 12 miles southwest of Winfield. In this pool, the production comes from the Burbank sand, locally called the "Rainbow," found at a depth of 3200 ft. The sand varies in thickness from 25 to 40 ft. in the seventeen wells completed during the year, and the initial productions ranged from 300 to 3000 bbl. per day of 40° Be. oil. The Rainbow pool is purely a wildcat discovery, for no. rocks suitable for the use of the geologist are present. To determine the geologic conditions, the larger companies core-drilled the Rainbow area immediately after the discovery. The Marland Refining, Co., drilling on the Graham farm in Sec. 9, T. 33, R. 3, failed to find the Burbank sand and continued to the Siliceous lime, often erroneously called the Wilcox, at 3505 ft., where a well with an initial production of 900 bbl. of 40 Be. oil was obtained. In the development following this discovery, 4 additional wells were completed, 3 of which encountered pay sand at 2500 ft., the initial productions each being about 200 barrels. Judging by the sands already proved and the area indicated as probably oil bearing by the development to date, these pools have a very promising outlook for the future. It is not unlikely that a field second only to El Dorado may have been opened.

Jan 3, 1925

By H. E. Rorschach

Activity in Oklahoma oil fields made 1937 one of the best years since 1926. During the year, 3454 wells were completed, an increase of about 25 per cent over the year 1936. Purchasers reports filed with the Corporation Commission of the State of Oklahoma showed a total of 221,842,-788 bbl. of oil purchased from leases in 1937, an increase of about 10 per cent over 1936. The assembly of a complete table of all of the oil fields in Oklahoma has not yet been achieved. Many of the early records of operators and pipe-line companies are incomplete. Table 1 includes all of the new fields, and this year there has been added work done covering pools discovered in previous years, so that most of the important fields in the state of Oklahoma are included therein. The outstanding development of the year was the discovery of the producing horizon classified as the Wilcox in western Payne County by the Mid-Continent Petroleum Corporation on a unitized block in sec. 18, Tp. 18 N., R. 2 E. This block is operated hy the Mid-Continent and owned in conjunction with the Carter Oil Co., Transwestern Oil Co. and Sinclair-Prairie Oil Co. Another important development of the year was the extension of the deep zone in the old Fox-Milroy area of Carter and Stephens Counties. Some of the other discoveries made during the year 1937 are South Cromwell, discovered by Sinclair-Prairie Oil Co.; Cromwell extension of the Fitts pool in Pontotoc County; discovery of the Langston area in Logan County; discovery of the Sporn area in Lincoln County by Skelly Oil Co. and the discovery of the North Wellston area in Lincoln County by Standard Oil & Gas Co. Table 2 shows the new oil areas discovered in Oklahoma during the year 1937 and areas that were discovered in 1936 but developed in 1937. Fox-Milroy Area.—Three wells were completed to the deep producing zone during the year. One of the wells completed in the early part of the year uas the Carter Oil Company's No. 1 Harley in sec. 24, Tp. 2 S., R. 4 W., 3 1/2 miles northwest of the original discovery well, the Ruth

Jan 1, 1938

1-Iron and Steel JOHN A MATHEWS, Chairman RALPH H SWEETER, Vice-Chairman WILLIAM CAMPBELL, Vice-Chairman MAX ROESLER, Secretary Iron Ore CHARLES B MURRAY, Chairman R C ALLEN W O HOTCHKISS MAX ROESLER ERNEST F BURCHARD WILLIAM KELLY DWIGHT E WOODBRIDGE M M DUNCAN CHARLES F RAND CARL ZAPFFE C T FAIRBAIRN THOMAS T READ Blast Furnace WALTER MATHESIUS, Chairman WILLIAM H BLAUVELT P KINNEY C SNELLING ROBINSON A J BOYNTON DORSEY A LYON H SWEETSEP D T CROXTON RICHARD MCCAFFERY R J WYSOR THOMAS L JOSEPH CHARLES P PERIN

Jan 1, 1923

CHARLES KIRCHHOFF, Chairman. ALBERT SAUVEUR, Vice-Chair-man. A. A. STEVENSON, Vice-Chair-man. HERBERT M. BOYLSTON, Secretary, Abbot Bldg., Cambridge, Mass. John Birkinbine, J. Esrey Johnson, Jr., Felix A. Vogel, William H. Blauvelt, William Kelly, Leonard Waldo, James Gayley, Richard Moldenke, William R. Walker, Henry D. Hibbard, Joseph W. Richards, William R. Webster. Henry M. Howe, E. Gybbon Spilsbury, Frederick \V. Wood. Robert W. Hunt, A. A. Stevenson is appointed an additional Vice-Chairman of the Committee. He will serve as Acting Chairman during the absence abroad of Professor Sauveur.

Jan 7, 1913

By William E. Ford, Edward Salisbury Dana

The Nitrates being largely soluble in water play but an unimportant r81e i~ Mineralogy. SODA NITER. Rhombohedral. Axis c = 0.8276; rr" 1071 A 7101 = 73' 30'. Homeo- morphous with calcite. Usually massive form, as an incrustation or in beds. Cleavage: r (1011) perfect. Fracture conchoidal, seldom observable. Rather sectile. H. = 1.5-2. G. = 2'262.29. Luster vitreous. Color white; also reddish brown, gray and lemon-yellow. Transparent. Taste cooling. Optically -. w = 1'5874, e = 1'3361. Camp. - Sodium nitrate, NaN03 = Nitrogen pentoxide 63'5, soda 36'5 = 100.

Jan 1, 1922

UNITED ENGINEERING TRUSTEES, INC. James L Head, '55 E C Meagher, '52 Gail F Moulton, '53 Advisory Committee to Real Estate Committee Cleveland Dodge Herbert Hoover J Paul D Merica THE ENGINEERING FOUNDATION E. R Kaiser, '54 W. M Peirce, '52 E C Meagher, ex officio as President, UET Research Procedure Committee E. R Kaiser ENGINEERING SOCIETIES LIBRARY BOARD James L Head, Chairman Frank T Sisco, '54 E M Wise AMERICAN STANDARDS ASSOCIATION Mining Standardization Correlating Committee Otto Herres, '53 J K. Richardson, '53 H H Otto, '53 E W Bullard, '53 - Alternate

Jan 1, 1952

By S. A. Lever, R. Hultgren

(E. R. Jette and J. R. Long presiding) M. B. BEVER*—The method re- ported in this interesting paper promises to he of fairly wide applicability. It may be expected that the solidus and liquidus lines in other low-melting alloy systems can also be determined by resistance measurements. As these alloys are especi- ally slow to reach equilibrium, a static method will improve the accuracy with which these parts of their phase diagrams can be determined. It should be noted that the sensitivity of the method for the determination of

Jan 1, 1950

By L. O. Howard

THERE are three active mines in the Chewelah-Colville district, the United Silver Copper near Chewelah, and the Old Dominion and the Chloride Queen near Colville. The Admiral near Valley is also doing development work. The Chewelah district is in the south central part of Stevens County in the Colville Valley. Chewelah, a thriving town of 1600 people, and the scene of operations of the Northwest Magnesite Co., is about the center of the district. It is situated in a farming community on the Spokane-Nelson branch of the Great Northern railway, about 65 miles north of Spokane. Only two or three of the mines in the district have been extensively developed, although many have been prospected. The general elevation of the valley, is about 1600 or 1700 ft., that of the mountain ranges on each side about 3000 to 4000 ft., with gentle slopes and rounded glaciated tops. Prospecting is often difficult because of much glacial debris.

Jan 1, 1925

By Frank F. Aplan

INTRODUCTION Coal is a solid, combustible mineral substance resulting from the degradation and alteration of vegetable matter largely in the absence of air. In this natural process of coalification, some non-combustible mineral matter is always associated with the combustible material. Coal preparation or cleaning is the process of removing this inert mineral matter from the coal. Preparation is highly successful in removing the large fragments of inert material, but is not very effective in removing the fine inorganic mineral matter intimately associated with the coal. Of the 600 million tons of coal produced in the United States every year, approximately one-half is produced by coal cleaning methods (1). The bulk of this tonnage is cleaned by coarse or intermediate gravity preparation methods (5 inches to 28 mesh, Tyler). Fine cleaning, say, -28 mesh, is done by shaking tables, washing cyclones, and flotation, or, until recently, the fines were either incorporated into the clean coal or simply discarded--not infrequently, the latter. In 1972, only 13 million tons of raw coal were cleaned by flotation in the United States, and from this 8.4 million tons of clean coal were produced (1). The percentage of clean coal produced by flotation in Europe (England, West Germany, Poland, U.S.S.R., etc.) is substantially higher. However, coal flotation has grown rapidly in the United States from only a few plants in 1950 to 31 in 1960 (2) and 66 in 1970 (1). Virtually all new preparation plants incorporate flotation into their basic flowsheet. The essential difference between ore and coal flotation is that for ores the entire tonnage is ground to flotation size, whereas for coal

Jan 1, 1976

By Davis M. Lapham

Ore bodies at Cornwall, Pennsylvania, have been mined since 1742 principally for iron from magnetite, but also for copper (in chalcopyrite), silver (in chalcopyrite), gold (in chalcopyrite), cobalt (in pyrite), sulfur, and crushed limestone aggregate. Metallization occurs as a limestone replacement above the essentially conformable, south dipping portion of a discordant saucershaped diabase sheet. Pre-Triassic and Triassic faulting have emplaced host Cambrian limestone and two Ordovician(?) hornfels units, now for the most part resting above diabase. Thermal metamorphism of carbonate-bearing country rocks largely to calc-silicates, is ubiquitous. Metasomatism, particularly of potassium, is unique to ore zones. Associated magnetite- actinolite mineralization replaces, in a preferential sequence, all earlier metamorphic and metasomatic minerals and rarely diabase chilled margin. Mineralogical (diopside, actinolite, mica, sulfides, oxides) and chemical (Fe, Cu, S, Co) zoning of the eastern ore body is focused down dip, near its western edge, along a major vertical fault through diabase. This zoning is spatially related to magnetite veins in diabase, to an ore body within diabase, and to a shear zone that probably extends through the sheet.

Jan 1, 1968

By G. R. Speich, S. A. Kulin

R. C. Shnay (Dept. of Mines and Technical Surveys, Ottawa, Ont., Canada)-—The authors are to be congratulated on an interesting and informative paper. However, several questions arise when the isothermal formation of martensite .is considered in relation to the formation of bainite at temperatures near the M, point. The reactions in an alloy and in a plain carbon steel would appear to be comparable; and in the course of a recent investigation of the austenite-bainite transformation in a plain carbon steel,Ia the writer has obtained data at temperatures above and below the M, point. These data are in some respects similar to those of the authors and a comparison would seem justified. The steel used in this investigation had the nominal composition: C, 0.80 pct; Mn, 0.20; and Si, 0.20. The course of the transformation was followed by the use of a magnetic balance. The magnetic moment of the specimen as determined by this instrument is directly proportional to the percentage of the total volume of the specimen which has transformed to bainite. ~lf specimens were austenitized at 1850°F for 4 hr, quenched to the transformation temperature, and quickly transferred to the magnetic balance. Readings were taken at regular intervals until the transformation had stopped. A typical transformation curve is shown in Fig. 9. The preliminary curve preceding the S-shaped curve was found at all temperatures above the M, to around 600°F. Both the extent of this preliminary curve and the time interval between it and the S-shaped curve were found to decrease with increasing temperature as was suggested by Davenport and Bain.14 Therefore,

Jan 1, 1953

By A. C. D. Chaklader, Ashok K. Kakar

The basic density equation originally dericed ' to predict the increase in density of a compact of spherical particles with the progressive deformation at the points of contact has been further modified to include the yield strength of the material. This has been done by assuming that the contact areas grow to stable sizes under a fixed stress which is equal to three times the yield strength. The final equation has the form: where Do and D me the initial and final bulk densities of the compact, u is the applied pressure, and Y is the yield strength of the material. This equation was tested with the data obtained on spheres of lead, K-Monel, and sapphire. The calculated yield strength t~alues for lead and sapphire are within the range of values reported in the literature. A few of the earliest hot pressing models proposed to explain the mechanism by Murray, Livey, and williams2 and then by McClelland3 are based on a plastic flow mechanism. However, more recent investigations suggest that the overall densification process is a combination of several mechanisms, such as particle rearrangement, fragmentation, plastic flow, and stress-enhanced diffusional creep. While fragmentation and particle rearrangement are considered to be responsible for the densification in the early stages,"475 it has been concluded that the final stages of hot pressing are controlled by stress-enhanced diffusional creep.516 The manner in which the densification takes place, i.e., by fragmentation, particle rearrangement, plastic flow, or stress-enhanced diffusional creep, would depend upon the type of material, the temperature, and the stress level used during the hot-pressing experiments. Metal compacts can be expected to have a much greater contribution from plastic flow than ceramic oxides. Also, plastic flow would be a significant contributing factor to densification at high temperatures and high stresses. Most of these works, directed towards elucidation of densification mechanism, have dealt with kinetics of the process. The results of most of the authors vary from one another and they have proposed either new empirical or semiempirical equations to fit their data. The densification rate was found to vary with the type of the powder, shape and size of the powder, initial packing density of the compact, and a few other factors such as rate of heating, pressure, and so forth. Beyond the initial stages, the densification process has been considered to be as time-dependent flow, controlled by a diffusional process, e.g., Nabarro-Herring creep. Palm our, Bradley, and johnson' have attempted to use modified creep rate equations to interpret the data of densification under hot-pressing conditions. Beyond the initial stages, however, the densification would be controlled by a process depending upon the temperature, pressure, and size of the powders. It is the authors' belief that such densification cannot be exclusively controlled by a single process and so attempts should be made to study some observable phenomenon like microstructure, yield strength, and so forth. The emphasis of this work has been toward studying the densification problem from a more fundamental point of view. Some of the principal variables, like initial packing density, mode of packing, and size of the powders, have been controlled to a great extent. The total strain produced on pressure application (instantaneous) in such a case can be considered to be due to plastic and elastic deformation. The elastic component of the strain can be determined by decreasing the load to the initial value. The strain remaining then can be correlated with the contact areas produced by deformation and the corresponding applied load. In a previous paper,' the possible deformation behavior of spheres in a compact has been theoretically analyzed and experimentally tested. The change in contact area radius a relative to the particle radius R was related to the bulk density and the bulk strain for simple and systematic modes of packing. Tt was found that a density equation relating the above parameters can be represented by: where D and Do are the bulk densities of the compact at any value of a/R and a/R = 0, respectively. This basic equation should hold for any material as it was derived from geometrical considerations alone. An attempt has been made in this work to include the yield strength in the above density equation, so that a knowledge of the properties of any material can be used in predicting the densification behavior during the hot-pressing process. THEORETICAL CONSIDERATTONS The deformation of two spheres in contact under a static load can be compared to the deformation occurring between a hard spherical indentor and the flat face of a softer metal. Tt has been shown theoretically by both ~encky~ and lshlinskyg and experimentally by ~abor" that, for a material incapable of appreciable work hardening, the mean pressure required to produce plastic yielding (for deformation occurring between flat face and a hemispherical indentor) is approximately equal to three times the elastic limit, Y, of the material (in tension or compression experiments). Tabor has further observed that the same relationship is valid in the case of work-hardening materials, if the elastic limit at the edge of the indenta-

Jan 1, 1969

By Robert G. Nisle

In conducting a pressure build-up test on an oil well, it is often necessary to shut-in the well for a short time prior to initiation of the test. The effect of such a short tern shut-in on the resulting pressure build-up curve is derived. The derivation is based on the Kelvin point-source solution and is a straight forward extension of the fundarnental theory. The magnitude of the effect is evaluatecl and illustrated by an example. It is shown that if the production subsequent to the short term shut-in is at least 10 times the duration of the shrct-in, the effect will he less than 10 per cent. INTRODUCTION It often happens that before a pressure build-up test can be made an additional valve must be mounted on the wellhead, or on arrival at the well, it might be learned that the well had been shut-in several hours the previous day because of a shortage of tankage. In such cases the question is How will such an interruption of production affect the results of a pressure buildup test This work explains how to take account of such a short term shut-in in order that the test can proceed without further delay. The solution presented here makes use of the Kelvin point-source solution used by Horne1 in his treatment of the pressure build-up in wells. Use is also made of the super-position theorem. MATHEMATICAL DERIVATION The well is assumed to have been in production at a constant rate for a relatively long time (several days or more). It is then shut-in for a short time, after which it is again placed in production at the previous constant rate. It continues to produce at this rate until shut-in for a pressure build-up test. The Kelvin point-source solution is expressed by Eq. 1. The sequence of production rates is listed in Table I. TABLE 1 — SEQUENCE OF PRODUCTION RATES Time interval Production Rate At time AT the pressure will be the resultant of the sequence of production rates shown in Table 1. An expression for the super-posed effects may be derived from this table. (Effect of + q for T + ? T) + (Effect of - q for T + ?T-t,) + (Effect of + q for T + ? T - t,) + (Effect of - q for ? T) = Resultant........(2) The desired result is obtained by substituting the effect defined by Eq. 1 for the terms in Eq. 2. The result is Eq. 3. When the logarithmic approximation is made for the exponential integrals and the terms collected the result is Eq. 4. Let T — t2 = T = flowing time following short term shut-in t2 — t1 = 6 = duration of short term shut-in Then T - t1 = r + 6 Substitution of these quantities in Eq. 4 gives p(rw ?T) = P,, -When d<<t - AT then d—&apos;-, T— approaches 1. r + AT In this case the effect of the short term shut-in may be ignored. In order to get some idea of the numerical magnitudes involved take the worst possible case, when AT = 0, that is at shut-in. If the error is made less than some maximum acceptable value at this time, it will be less than the maximum for all subsequent times. d + r Let the difference between the value of y-— and 1 be less than 0.1. Then —6+r — 1 < 0.1 S < O.l T Therefore, if the flowing time following a short term shut-in is at least 10 times the duration of the short term shut-in, the error introduced by ignoring the short term shut-in will not exceed 10 per cent of T+AT A T

Jan 1, 1957

By N. Brown

IT has been observed that a hexagonal-close-packed crystal will undergo the same macroscopic displacements as an isotropic material if the basal plane is perpendicular to the axis of twist.&apos; Other orientations may produce both bending and twisting, but this analysis will be confined to pure torsion of a right circular cylinder. The z axis, the axis of twist, and the specimen axis are coincident. The displacements are given by Uq = rz, Ur = Uz = 0 [1] where 4 is the angle of twist per unit length. This requires rotational slip, as discussed by Frank&apos; and Wilman, which may be observed readily. The relative rotation of adjoining slip planes is simply produced by a movement of a planar grid of screw dislocations."." The screw dislocations are of the same sign and they move radially inward. For hexagonal-close-packed metals, the grid is hexagonal and the screw dislocations lie in the < 2110 > directions. The displacement of a point is the resultant of two displacements produced by intersecting screws sweeping over the point. The dislocations must pass over the point (r, o) in such a manner that its resultant displacement corresponds to the observed macroscopic displacement. If 6&apos; is measured from the [1010] direction, then for 0 < ? < ~/3, only the [1210] and 121101 type screw dislocations are needed to produce the required displacement. If n1 screws of type [1210] and n2 of type [2110] pass over a point, then, in order that Ur = 0 n, sin ? - n2 sin (/3 — 6&apos;) = 0. [2] If the tangential displacement is to be independent of 0, then n1 cos ? + n2cos (/3 —?) = N [3] where N is independent of ? and thus depends only on r. Nb is the tangential displacement where b is the Burgers vector. Since U? is a linear function of r, then N must be a linear function of r. If a2 is the outer radius and a, is the inner radius to which the plastic deformation has extended, then N = Nm2 r-a1 [4] This function meets the conditions that at

Jan 1, 1956

By J. J. Gilman

WHEN a zinc crystal is immersed in liquid N, and then plastically bent, it is observed that it bends a certain amount and then fractures. This fracture occurs at a fairly reproducible radius of curvature, and the radius varies systematically with the crystal orientation. Because this phenomenon provides an unusually well-defined set of fracture conditions, it is possible to examine various possible fracture criteria and select the best one. Zinc crystals of various orientations were bent about axes lying in their glide planes (0001) and perpendicular to their glide directions [1210]. The crystals were 0.150 in. diam and had chemically polished surfaces. They were immersed in liquid N, while they were being loaded on an Instron testing machine. A three-point bending jig was used to load them. Table I lists the beam radius at which fracture occurred for each orientation. Each value is the average of at least six measurements. The normal stresses on the cleavage planes, at the time of fracture, were calculated as follows: First, from the fracture radius, R,, the orientation angle, x,, of the (0001) plane at the outer fiber was calculated. If x, = angle between the (0001) and the rod axis prior to bending, d = rod diameter, and X, = angle between the (0001) plane and a tangent to the bent crystal, then1 sinX, _ 2R, sin xn 2R, + d Since the glide shear strain is given by&apos; y &apos; cot X, — Xo the glide strain at fracture, x,, can be calculated. Next, it is necessary to know the tangential stress in the outer fiber at fracture. This depends on the plastic flow curve, so a series of tensile tests were performed at —196°C on another set of zinc crystals. A curve of the average resolved shear stress versus glide strain was prepared. From this curve, shear stresses, r,, corresponding to the glide strains in the bend tests were taken. These values are listed in Table I. Then the normal stresses in the outer fibres, u,, were calculated from the relation U, = r, tan X, This analysis assumes that the fiber stresses in a bent beam are the same as the stresses in simple

Jan 1, 1959