8 MAY1943 THE CREEP CHARACTERISTICS OF POLYVINYLIDENE CHLORIDE by John F. Tormey B. S., University of Notre Dame, 1941 Submitted in Partial Fulfillment of the Requirements for the Degree of Master of Science at the Massachusetts Institute of Technology 1943 Signature of Author (Dept. Chem. Eng.-- Jafuiy T27 Signature of Professor in Charge of Research Signature of Chairman of Dept. Committee on Graduate Students 3 --- -- Graduate House, M. I. T. Cambridge, Massachusetts January 11, 1943 Professor G. W. Swett Secretary to the Faculty Massachusetts Institute of Technology Cambridge, Massachusetts Dear Sir: In partial fulfillment of the requirements for the degree, Master of Science in Chemical Engineering Practice, I am hereby presenting my thesis, "The Creep Characteristics of Polyvinylidene Chloride". Respectfully submitted, John F. Tormey 258725 ACKNOWLEDGMENTS To Dr. C. E. Reed, for assistance in instituting this work, and to Dr. Herbert Leaderman, for helpful suggestions during the course of the investigation, the author extends thanks. TABLE OF CONTENTS SUMMARY . . . . . . . . . .. .... 3 ..... II. INTRODUCTION . III. PROCEDURE . . . . . . . . IV. RESULTS . .. V. DISCUSSION OF RESULTS . VI. CONCLUSIONS VII. RECOMMENDATIONS . VIII. APPENDIX . ....... ...... A. Expanded Procedure . . . . . . 11 16 . 34 . . . . 40 .... 41 42 ...... 43 B. Summarized Original Data . 46 C. Location of Original Dath . . 54 D. Literature Citations 55 ...... I. SUMMARY The time element in the stress and strain action of natural and synthetic high molecular weight materials has been the object of much investigation. Because the time element is of particular and singular significance in these materials, attempts have been made by a study of the relation that time has with their mechanical action to uncover the true structure of these so-called linear polymers. A type of testing, wherein time is the predominant factor, has been devised and used upon a variety of textile materials, both natural and synthetic. A theory has been proposed to which these tests conform; the object of this thesis was to employ these same tests upon samples of oriented cordage of polyvinylidene chloride, or Saran. The tests consisted of stretching samples of the cordlage under various loads for long durations of time, releasing this load for an equal time interval, meanwhile making cathetometer readings of the elongations and contractions. Another type of test, the Superposition Test, was also employed. It was concluded that under the conditions established and encountered, the cordage sample of polyvinylidene chloride did not follow the established theory of behavior. However, there were indications that, with some definite changes in sample size and equipment, better correlation with theory was possible. Recommendations covering these changes were made, and additional testing was advocated. II. INTRODUCTION In investigating the properties of most metals for the purpose of determining their utility as materials of construction, certain established stress, strain, impact, and similar tests are employed by the investigator with good success in obtaining the desired information. When these same established tests are applied to textile fibers, either natural or synthetic, and to certain filaments of polymeric materials, the results are not so satisfactory, nor do they appear to tell the complete story. The same investigations will not suffice to give us a clear picture of the characteristics of these materials. It has become increasingly evident that time is the differentiating factor between the action of metals and the action of textile fibers and synthetic filaments. It is this time effect and its relationship to the stress-strain action of a single strand of synthetic "plastic", namely polymerized vinylidene chloride, that is the subject of this thesis. Saran Before discussing this time effect, some facts about polyvinylidene chloride, or as it is called com- mercially, "Saran", should be mentioned. Recent patent literature (1) states that Saran is made by polymerizing vinylidene chloride, either alone or as a copolymer with vinyl cyanide or vinyl chloride, adding certain filling materials and plasticizers, fusing the mixture, dyeing to desired color, grinding, and then extruding the resulting thermoplastic in the desired form. Plastic filaments, or the oriented cordage tested in this investigation, are pulled hot from the extrusion unit and oriented, or mechanically worked, into a wide range of tensile strengths. Tensile strengths can be controlled from 4,000 pounds per square inch to 12,000 pounds per square inch, and elastic elongation limited from ten per cent to forty per cent (2). Structure of Saran This range of tensile strengths and elongations is possible because of the unique internal structure of Saran. Saran has been reported, by virtue of X-ray photographs of its structure, to possess three physical conditions, amorphous, crystalline, and oriented, anyone of which it may be made to assume by proper heat and mechanical treating. Vinylidene chloride in the unpolymerized state is unsymmetrical dichloro-ethylene, an ethylene molecule in which the two hydrogens on one of the carbon atoms have been replaced by chlorine atoms. is still present. The unsaturation Upon polymerization, the vinylidene chloride molecules unite, end to end, by virtue of this unsaturation, into long chain, linear, addition polymers of high molecular weight (3), (4), (5). The average molecular weight of Saran is reported as 20,000 (2). In the amorphous state, it appears that these long, linear chains exist in a haphazard, tangled mass, with little or no orientation perceptible to the X-ray. With mechanical working, these chains may be combed out and made to lie alongside each other, more or less parallel. This parallel arrangement gives strength and elasticity to the fiber by virtue of some obvious, but not as yet recognizable, cohesive force which exists between parallel chains. When the molecules are so arranged, the polymer is said to be in its orientated state, It is in this state that the Saran tested in this work existed, and it is to the peculiar bonds, linkages, and forces of the oriented state that Saran, as well as the other synthetic and natural fibers, owe their peculiar stress-strain-time relations. The third state in which Saran is reported to exist is the cyrstalline state, which it will assume after heating and subsequent cooling. This crystalline state is peculiar to Saran, since most thermoplastics do not display a crystalline structure. However, it is possible that the crystalline state, reported by Goggins and Laury (2), is nothing more than a highly perfect state of orientation and not the three dimensional order usually associated with crystallinity. At any rate, the reported tendency of Saran toward perfect orientation of its linear chains is especially noteworthy. Commercial Properties Saran is also highly resistant to the action of acids, alkalis, both weak and strong, and to most, but not all, organic solvents (1). It exhibits a complete absence of water absorption, and its rate of water permeability is very low (2). The other properties of Saran, its durability, machinality, beauty, etc., not especially important for consideration here, make it an excellent commercial thermoplastic. The Time Element Whitby and Stafford (6) in their work on the elasticity of rubber were forded to conclude: "Time plays an important part in the result of any mechanical manipulation through which these materials (rubber, organic polymers, etc.) pass. Strictly speaking, there is no such thing as a stress-strain diagram in these cases, only a stress-strain-time diagram". They substantiate this view with time data for rubber elongation. The same view is also expressed1 by Kuveshinky and Kobeko (7) and by Alexandrov (8), all of whom report considerable work in this field. The former reports relationship between elasticity and dielectric orientation, while the latter discusses the wrelaxation" time in synthetic polymeric materials. Leaderman (9) has conducted extensive stress-strain time experiments on rayon, nylon, silk, and similar textiles and has established a type of experiment, namely the creep test of long duration, creep recovery, and cyclical loading, to which Saran has been subjected in this investigation. Creep and Creep Recovery When a fiber, or an oriented cordage of Saran, is subjected to a constant tensile load, the material rapidly elongates upon the applicaton of the load. This instantaneous deflection is followed by a slower deflection or "creep", which may continue for some hours. Upon removal of the load, the material instantly contracts to an extent closely approximating its initial elongation. Following this instantaneous contraction, there ensues a gradual contraction which may result in the materials' attaining once more its original length. This phenomena is called "creep recovery". One might speak of the instantaneous elongation and contraction as elasticity and the creep and creep-recovery action as delayed elasticity. However, the term elasticity connotes complete recovery. In some cases of creep, the creep recovery is not perfectly complete, but there remains a small non-recoverable portion, or permanent set. Leaderman has divided creep, therefore, into two components, which are superimposed on each other; primary creep, or creep to which there is complete recovery, and secondary creep, or creep to which there is no recovery. Inasmuch as primary creep alone is of present interest, it seems advisable to eliminate if possible this secondary creep. This is accomplished by "mechanical working" or subjecting the material to certain loads for definite time intervals until the secondary creep component is no longer present. Superposition Principle With the ideas of creep and creep recovery is closely related the Superposition Principle, simply expressed by Leaderman (10) as follows: "At any instant, the deflection of a solid manifesting only primary creep can be separated into two components. One component is the instantaneous elastic deflection, proportional to the load acting at that instant. The other component is the primary creep or delayed elastic deflection dependent not only on the load acting at that instant but also on the entire previous loading history. Hence, as far as the primary creep component of the deflection is concerned, the material possesses a memory of all past loading actions". This Superposition Principle has been demonstrated by Leaderman to hold well for single filaments of viscose nylon, and silk, and these tests on Saran wer6 conducted with the same purpose in mind, namely, to determine whether or not Saran obeyed the Superposition Principle. To apply the Superposition Principle, a creep test under constant load, lasting for several hours, is performed, followed by a creep recovery test of the same duration. versus time. These results are plotted, elongation The material is now subjected to a diver- sified loading. That is, using the same load as was employed in the long duration test, the experimenter applies and removes the load at various times. If the Superposition Principle holds for the material, and the memory effect is present, we may calculate and reconstruct, from the elongations present in this latter test, a curve et~ctly similar to the former long-duration creep curve. This is possible, as Leaderman (10) expresses it, if: "We assume the effect of the original load, as far as its creep is concerned, Superimposed to continue indefinitely. upon this, we assume a (negative) creep due to an equal negative load applied at the instant of load removal........... The effect of each load, positive or negative, is assumed to continue indefinitely, and the deflection at any time is simply the sum of the deflections due to each separate loading action. Each of these separate effects can be obtained from the long-duration creep test". The Superposition Principle can also be tested by an examination of the long-duration creep and creerecovery tests. By allowing the creep to attain its limiting value and then removing the load, a negative deflection will ensue, whose plot, on appropriate axes, should reproduce the creep curve exactly. Consequently, long-duration creep curves are the key tool to the investigation of these creep phenomena which display themselves in such a variety of materials. When it has been conclusively proved that the principles of creep and Superposition are perfectly consistent, reproduceable, and present in otherwise related materials, a new means will have been obtained by which the ultimate structure of linear polymers, now deduced only by X-ray and chemical analysis, may be uncovered. III. PROCEDURE Creep Test The sample or oriented Saran cordage was fastened at one end to a firmly mounted bracket. This fastening was accomplished by clamping the cordage between two leather-covered steel bars and screwing the bars to a wooden base. Details of this arrangement are to be found in Figure II. The oordage, .021 inch in diameter and approximately 70 centimeters in length, was allowed to hang vertically, its other extremity being attached to a light bronze hollow column, which was free to move vertically but whose sidewise motion was prevented by a double pair of rollers, which guided but did not impede the vertical motion of the column. is sketched in Figure III. This mechanism By such a system of fasten- ing, the cordage of Saran was held in the vertical plane at all times. Predetermined loads were applied to the cordage by quickly and manually hooking metal weights to a fastener at the bottom of the bronze column. Cathetometer readings of the elongation were made at definite intervals over the course of twenty-four hours. Temperature readings were also noted. The resulting 12 elongations of the Saran were plotted against the logarithm of the time in minutes. Creep Recovery This test is nearly identical with the creep test. After a period of twenty-four hours of inducing creep in the Saran cordage, the load was quickly removed and cathetometer readings of the contration or recovery were made at the same time intervals as the creep test. These results were also plotted against a long time abscissa, on the same graph as the creep curve. Cyclical Loading In this test, a definite load was applied to the cordage and allowed to remain for ten minutes. then removed and the Saran allowed to contract. It was After a contraction or creep recovery period of ten minutes, the load was once more applied. This process of load- ing and unloading continued for sixty minutes. Cathe- tometer readings of the deflection were made every minute. 13 I F/ G. I CREEP 7ES T/N C FEL APPAqATUS CLAMP CORDAGE CLI. AMP TEL cE6C OP --E±I 9 CA THE TOME 7 EP, I J. 7T- _ ~J.F.T /-S-43 1-5-43 14 F/G. HIT "/PpER I-" OF APPARATqS &5cE7Yon I- 4i , N) 7 C5CA LE: / '2 ft I J T". /1--43 __ F/G·- ZZ LowER % OF A PPA RA TuS SE C TI/O / -2 /IL"--I M/hATA i AI-l AA. ,STrEL (OLL~Ei £ -"L ACoL Ol' ?/ 04/ZE C.OL/. // //oox CPo A1TTACHIA/C kVEI /HITS S cALE": / -" J.FT 1-4-43 16 IV. RESULTS The results of this investigation, comprising creep, recovery, and superposition tests, are presented graphically in this section. Semi-log plots of all the creep and recovery tests are arranged in the order in which they were performed. In presenting these results in graphical form, it is believed a better evaluation is possible than with tabulated data. However, a portion of the original data, as it was recorded in tabular form, is to be found in the Appendix. Superposition points are plotted on the same graph.as the creep curve obtained from the corresponding srecimen and load. Creep and recovery curves for Specimen A are plotted on Figures IV and V. 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DISCUSSION OF RESULTS With the aim of obtaining smooth, reproducable curves of the elongation-versus-time relationship for Saran, this thesis was undertaken. But, after a critical survey of the preceding results, is fairly obvious it that this particular aim has not been attained. Several factors were present which considerably influenced the varied course of the results, and so serious were these factors that no favorable conclusions as to the status of polyvinylidene chloride in the Superposition Theory can be hazarded. However, certain quite definite points may be derived from these results which may be of assistance in further work on this material. Before discussing these conclusions, a more direct consideration of the curves is in order. Specimen A These two curves, Figures IV and V, are typical of the action of the other two specimens, which is as it should be if we assume the material to be of consistent composition and structure. The first curve shows con- siderable permanent set, nearly half of the original elongation, while the second curve displays only a smal; amount of set. Mechanioal working, or the physical pull- ing and stretching of the cordage into tighter, more compact molecular chain bundles, is evident. The creep and recovery curves for this specimen are too curved, too divergent, and too separated for any feasible application of the Superposition Rule. Specimen B Figures VI, VII, IX, X, and XI of this group are of little positive value in applying the principles of creep and superposition to Saran. In these five plots, the points are so scattered above and below the mean line that some factor is apparently disturbing the harmonious elongation of th6 cordage sample. Possible reasons for this disturbing element will be discussed in another part of this section. Moreover, Figures IX and X display marked curvature, indicating that the applied load is too light to enable the material to display its creep qualities. versus log time is, concerned, The plot of creep so far as present investigators are a straight line. Figure XI, displaying a crossing of the creep and the recovery curves, ranges so far from theoretical considerations as to be also eliminated. In studying Figures VIII, XII, XIII, and XIV, however, some adherence to theory is noted. The curves of creep and recovery are parallel and reasonable close, showing that the material is similarly responsible to positive and negative loads, and that, with better equipment, even more similar curves might be obtained for Saran. Figure XIII is very good in this respect, though the individual points are scattered to a slight extent. Specimen C In this group of graphs, Figure XVI is noteworthy in that the points, for both creep and creep recovery lie on straight, parallel lines. The considerable load of this test, 1100 grams, may have been of such magnitude as to cancel those mechanical or frictional errors that could provide scattered points. This curve best exemplies the Superposition Principle in Saran; and as such, shows that the material may possibly provide some basis for application of the superposition rules. Figure XVIII is also theoretically sound. On the unfavcrable side are Figures XV, XVII, XIX, and XX. Here again, scattered points, diverging lines, curved lines, and permanent set serve to make these plots useless as far as application of the theory is concerned. Superposition Tests According to the data of Leaderman (10), the superposition test points should fall nearly upon the creep curve of long duration, if the principles of superposition are to be upheld. Inspection of Figures XIII, XIV, XVIII, and XIX shows that this is not the case for Saran. At least, it employed in these tests. is not under the conditions However, there is not reason to conclude that superposition does not apply to the material, polyvinylidene chloride, merely because it is not here apparent. Further testing under other con- ditions of time, temperature, and strain may revetl close harmony with the theory. graphs, As indicated in the the superposition points form a family of united and ascending convex curves and not the straight creep curve of theory. The regularity of this family indicates that the failure to follow theory here is due, not to a mechanical flaw, but to a more serious, unaccountable property of the polymer itself. Probably Sources of Error - General The curved lines, the large permanent set, the poor superposition correlation - all these indicate that the range of loads used was not adequate to bring out the desired properties in Saran. loads, The fact that at low the curve was concave upward with a straightening out of this curve upon an increase in load, would indicate 38 that higher loads .should be wed in -testing Saran. Moreover, more extensive mechanical conditioning is advisable to remove all the permanent set. It is quite possible that the large diameter, 0,021 inch, of the specimens tested was also a factor in producing this non-correlation of practice and theory. Filaments of Saran, with less of a tendency for "Packing" upon elongation, seem to offer a feasible alternative. To establish a working range for further creep tests, a series of stress and strain tests should be performed on Saran. These may then be consulted in order to deduce that range of loads wherein the creep properties of Saran may be viewed, free from elastic effects. Sources of Error- Experimental Two important sources of experimental error were encounteredin the tests. These were the frictional resistance of the guide rollers and the error in setting and reading the cathetometer. The former error may be detected in those curves in which the points are scattered. typical example. Figure IX is a The points ascend in a series of steps, rather than as a smooth curve. Frictional A9 resistance in the rollers, preventing differential increases in length with differential "relaxation" within the Saran, but allowing elongations only when a certain force had been gathered, would produce this step wise curve. Only finer, more precise equipment, or equipment of entirely different operation, will eliminate this error. Although readings precise to 0.005 centimeter were possible with the cathetometer employed in this thesis, accuracy corresponding to this precision was not borne out in the readings. Difficulty in setting and sighting the cathetometer in the short space of time between readings could not be overcome, as is evident, in some of the data. Timing error was negligible. 4O VI. CONCLUSIONS 1. Under the conditions employed and encountered in this experimental work, oriented cordage of polyvinylidene chloride, or Saran, does not follow the theory of Superposition. 2. There are some indications that, under different operating conditions, a more favorable approach to the theory can be attained. 7~.i VII. RECOMMENMATIONS 1. Standard stress-strain tests should be made on Saran before any further creep or Superposition work is attempted. 2. Heavier loads and finer cords of Saran are indicated by the data to provide better harmony with theory. These should be used. 3. If the roller type of attachment is used, it is recommended that some mechanical changes be made to minimte the frictional resistance. 4. With proper cognizance of the above points, additional creep tests on polyvinylidene chloride are recommended. 42 PY1. APPENDIX 18 A. EXPANDED PROCEDURE Material Tested The Saran samples used in these t6sts were all cut from the same continuous length of material. Con- sequently, discrepancies in theory due to compositional, extrusion, or mechanical working differences should be negligible. The material was oriented Saran cordage, with an average diameter of 0.021 inch, and a reported breakirg load of 40,000 pounds per square inch (2). The exact composition of this particular Saran sample was not available, nor was equipment available for preliminary stress-strain tests to be conducted on the Saran. Pretreatment and Mechanical Conditionin The lengths to be tested were cut to approximately 70 centimeters and hung in the laboratory for from three to six days-in order that they might attain an equilibrium with the temperature and humidity of the laboratory. Previous to the actual testing, the cordage was allowed to hang in the testing apparatus for twenty-four hours, being stressed only by the weight of the bronze column, amounting to 120.5 grams. Moreover, the samples were mechanically treated by subjecting them to loads equal to or in excess of the testing loads to be used later. This mechanical treatment lasted from sixteen to twenty-four hours with an equal time being allowed for recovery. Creep Apparatus This has been previously mentioned in the Procedure. Figures I, II, and III illustrate the details of construction. The apparatus was solidly fasteed to a concrete pillar for complete stability. Cathetometer The cathetometer employed was of the standard laboratory type with telescope and vernier scale. The telescope was focussed on a finely etched cross-marking on the side of the bronze column, and this marking was kept in view throughout the elongations and recoveries of the attached cordage by sliding the telescope vertically along the cathetometer scale. Positional read- ings were taken from the vernier scale. Tim ing On the creep and recovery tests, cathetometer readings were made at 1, 2, 3, 5, 7, 10, 15, 20, 30, 40, 60, and 90 minutes, and at convenient, though not necessarily fixed, times thereafter. During. the cyclical loading tests, readings were made with the cathetometer every sixty seconds. Elapsed time as indicated by a 45 clock that announced each minute with a distinctive and audible note. Temperature The temperature of the surroundings immediately adjacent to the apparatus did not go below 2400C nor above 2700C during the course of the experiments. In any one particular creep test, the temperature variance was never more than 10C. Temperature was obtained by a mercury-in-glass thermometer, and recorded regularly. Humidity Since Saran has shown a water absorption of 0.00% over a period of twenty-four hours, the factor of humidity did not seem to be an important one. However, the tests were performed in a dim, artificially ventilated and conditioned room, and it is believed a relatively constant humidity was present. 'U, ~1 TABLE I CREEP AND RECOVERY - SPECIMEN A - TEST III Load - 703.1 grams Time in Minutes 0 1 2 3 4 5 10 15 20 30 60 90 1530 Scale Position 5.460 3.895 3.850 3.770 3.730 3.670 3.665 3.625 3.595 3.575 3.490 3.405 3.025 Creep in Centimeters 0.000 1.565 1.610 1.690 1.730 1.790 1.795 1.835 1.860 1.880 1.965 2.050 2.435 Creep Recovery Time in Minutes Scale Position 0 3.025 0.000 1 4.555 1.530 2 4.650 1.625 3 4 5 4.680 4.720 4.725 1.655 1.695 1.700 4.805. 1.780 15 4.850 1.825 20 4.875 1.850 30 4.900 1.875 60 90 1260 1440 1530 5.020 5.040 5.270 5.300 5.300 1.995 2.015 2.245 2.275 2.275 10 TABLE II CREEP AND RECOTERY - SPECIMEN B - TEST VIII Load - 858. 7 grams Time in Minutes 0 1 2 5 5 7 10 15 20 30 40 60 90 1260 1380 Scale Position Creep in Centimeters 5.520 3.445 3.370 3.335 3.265 3.425 3.170 3.130 3.125 3.065 3.055 2.970 2.945 2.520 2.520 Scale Position Time 0.000 2.075 2.150 2.185 2.255 2.275 2.350 2.390 2.390 2.450 2.460 2.545 2.570 3.000 3.000 Creep Recovery 0 2.520 0.000 1 2 4.500 1.980 4.580 4.625 4.710 4.715 2.040 2.105 2.190 2.195 4.785 4.795 4.995 5.350 5.350 2.260 2.270 2.470 2.830 2.830 3 5 7 10 15 100 2700 2880 48 TABLE III CREEP AND RECOVERY - SPECIMEN B - TEST VIII Load - 784.6 grams Time in Minutes Scale Position Creep in Centimeters 0 1 2 3 5 7 10 15 20 25 40 60 90 420 1260 1440 4.550 2.585 2.525 2.495 2.430 2.400 2.365 2.310 2.270 2.270 2.185 2.160 0.000 1.965 2.025 2.055 2.120 2.150 2.185 2.240 2.280 2.280 2.365 2.390 2.460 2.570 2.715 2.760 T ime 1.090 1.980 1.835 1.790 Scale Position 0 1 2 3 5 7 10 15 20 30 40 60 90 360 1340 1530 1.790 3.695 3.770 3.800 3.880 3.940 4.000 4.000 4.040 4.085 4.150 4.185 4.295 4.405 4.525 4.535 Creep Recovery 0.000 1.905 1.980 2.010 2.090 2.150 2.210 2.210 2.250 2.295 2.360 2.395 2.505 2.615 2.735 2.745 TABLE IV CREEP AND RECOVERY - SPECIMEN C - TEST II Load - 1102.7 grams Time in Minutes 0 1 2 3 5 7 10 15 20 30 40 60 90 400 1290 1450 Time in Mi nutes 0 1 2 3 5 7 10 15 20 30 40 60 90 1340 Scale Position 5.055 2.295 2.195 2.140 2.075 2.020 1.985 1.895 1.890 1.825 1.800 1.730 1.645 1.320 1.000 0.990 Soale Position 0.990 3.495 3.590 3.635 3.745 3.785 3.815 3.900 3.915 3.995 4.025 4.040 4.175 4.540 Creep in Centimeters 0.000 2.760 2.860 2.915 2.980 3.035 3.070 3.160 3.165 3.230 3.255 3.325 3.410 3.735 4.055 4.065 Recovery 0.000 2.505 2.600 2.645 2.755 2.795 2.825 2.910 2.920 3.005 3.035 3.050 3.185 3.550 TABLE V CYCLICAL LOADING FOR SUPERPOSITION TEST Specimen B - Load 784.6 Time in Minutes 0 Scale Reading 4.525 Calculated Creep 0.000 1 2 3 2.695 2.610 2.600 1.830 1.915 1.925 4 2.580 1.945 5 6 7 2.525 2.520 2.515 2.010 2.015 2.020 2.510 2.025 2.460 2.075 - -- 4.295 4.370 4.390 2.060 2.135 2.255 14 15 16 4.400 4.410 4.420 2.265 2.275 2.285 17 4.420 2.285 4.420 4.455 2.285 2.320 -- -- 21 2.575 2.180 22 23 24 25 26 27 28 29 2.495 2.485 2.485 2.475 2.470 2.470 2.470 2.465 2.260 2.270 2.270 2.280 2.285 2.285 2.285 2.290 -- -- 4.270 4.295 4.340 4.345 4.350 4.390 4.395 4.405 4.410 2.205 2.230 2.275 2.280 2.285 2.320 2.325 2.335 2.340 -- -- 8 9 removed 11 12 13 18 19 applied removed 31 32 33 34 35 36 37 38 39 applied TABLE V CYCLICAL LOADING FOR SUPERPOSITION TEST T'ime in Minutes Scale Reading Calculated Creep 41 2.540 2.240 42 43 44 45 46 47 48 49 2.520 2.460 2.460 2.440 2.440 2.435 2.435 2.420 2.260 2.320 2.320 2.340 2.340 2.345 2.345 2.360 removed 51 52 53 54 55 56 57 58 59 60 -- -- 4.265 4.300 4.330 4.340 4.340 4.360 4.360 4.360 4.380 4.380 2.245 2.280 2.310 2.320 2.320 2.340 2.340 2.340 2.380 2.380 TABLE VI CYCLICAL LOAPING FOR SUPERPOSITION TEST Specimen C - Load 703.1 grams Time in Minutes Scale Reading 0 4.280 3 2.485 1.795 4 5 6 7 2.460 2.440 2.420 2.380 1.860 8 2.380 9 2.375 1.905 11 12 13 14 4.070 4.115 4.160 4.160 1.945 1.990 15 4.170 16 17 4.170 4.170 2.045 2.045 18 19 4.175 4.175 2.050 2.050 1 2 removed applied 2.545 2.500 -- 2.490 2.440 23 24 25 28 27 28 29 2.435 2.380 2.375 2.375 2.370 2.370 2.340 1.820 1.840 1.900 1.900 2.035 2.035 2.045 2.000 2.050 2.055 2.110 2.115 2.115 2.120 2.120 2.150 -- 31 4.035 32 33 4.080 4.090 34 35 36 4.090 4.125 4.125 37 4.125 38 4.145 39 applied 1.780 -- 21 22 removed Calculated Creep 0.000 1.735 4.145 -- 2.035 2.080 2.090 2.090 2.125 2.125 2.125 2.145 2.145 -, •- TABLE VI CYCLICAL LOADING FOR SUPERPOSITION TEST Time in Minutes 41 42 43 Scale Reading 2.44U 2.385 2.370 44 2.370 45 46 2.365 2.310 47 2.310 48 49 2.310 2.300 removed 51 52 53 54 55 56 57 58 59 60 4.015 4.060 4.060 4.070 4.150 4.150 4.150 4.160 4.160 4.160 Calculated Creep .0b85 2.145 2.160 2.160 2.165 2.220 2.220 2.220 2.230 2.105 2.150 2.150 2.160 2.240 2.240 2.240 2.250 2.250 2.250 54 C. LOCATION OF ORIGINAL DATA The original data from which the results of this thesis have been obtained are in the possession of the author. Part B of this appendix presents some, but not all, of the data recorded during the experimental work. 55 D. LITERATURE CITATIONS (1) 2,235,782, U.S. Patents; 2,232,933, 2,235,782, 2,249,915, 2,235,796, 2,249,916, 2,237,315, 2,249,917, 2,238,020, 2,251,486. (2) Goggin, W.C. and Laury, R.0. ; paper presented at the 102nd meeting of the American Chemical Society, Atlantic City, N. J., Sept. 1941. (3) Lewis, W. K., Broughton, G., and Squires, L.; "Industrial Chemistry of Amorphous and Colloidal Materials", lst ed., MacMillan (1942). (4) Burk, Thompson, Weith, and Williams; "Polymerization", Rheinhold (1937). (5) Mark, H. and Whitby, G. S.; "Collected Papers of Wallace H. Carrothers on Polymerization", New York (1940). (6) Whitby, G. S. and Stafford, G.; Trans. Rubber Ind. 6, 40 (1930). (7) Kobeko, P. and Kuvshinsky, U.S.S.R. 5, 401 (1938). (8) Alexandrov, A.; Tech. Phys. 929 (1937). E.; Tech. Inst. Phys. U.S.S.R. 4, (9) Leaderman, H.; "Elastic and Creep Properties of Filamentous Materials", Sc.D. Thesis, Mech. Eng., M.I.T. (1941). (10) Leaderman, H.; Text, Research 10, 171 (1941).