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CA1076829A - Optical method and apparatus for determining stress relaxation - Google Patents

Optical method and apparatus for determining stress relaxation

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Publication number
CA1076829A
CA1076829A CA268,391A CA268391A CA1076829A CA 1076829 A CA1076829 A CA 1076829A CA 268391 A CA268391 A CA 268391A CA 1076829 A CA1076829 A CA 1076829A
Authority
CA
Canada
Prior art keywords
extrusion
during
strand
extruding
aperture
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Expired
Application number
CA268,391A
Other languages
French (fr)
Inventor
Robert I. Barker
David P. King
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Monsanto Co
Original Assignee
Monsanto Co
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Priority claimed from US05/642,705 external-priority patent/US4037968A/en
Application filed by Monsanto Co filed Critical Monsanto Co
Application granted granted Critical
Publication of CA1076829A publication Critical patent/CA1076829A/en
Expired legal-status Critical Current

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Classifications

    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N11/00Investigating flow properties of materials, e.g. viscosity, plasticity; Analysing materials by determining flow properties
    • G01N11/02Investigating flow properties of materials, e.g. viscosity, plasticity; Analysing materials by determining flow properties by measuring flow of the material
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B29WORKING OF PLASTICS; WORKING OF SUBSTANCES IN A PLASTIC STATE IN GENERAL
    • B29CSHAPING OR JOINING OF PLASTICS; SHAPING OF MATERIAL IN A PLASTIC STATE, NOT OTHERWISE PROVIDED FOR; AFTER-TREATMENT OF THE SHAPED PRODUCTS, e.g. REPAIRING
    • B29C48/00Extrusion moulding, i.e. expressing the moulding material through a die or nozzle which imparts the desired form; Apparatus therefor
    • B29C48/25Component parts, details or accessories; Auxiliary operations
    • B29C48/92Measuring, controlling or regulating
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B11/00Measuring arrangements characterised by the use of optical techniques
    • G01B11/02Measuring arrangements characterised by the use of optical techniques for measuring length, width or thickness
    • G01B11/04Measuring arrangements characterised by the use of optical techniques for measuring length, width or thickness specially adapted for measuring length or width of objects while moving
    • G01B11/046Measuring arrangements characterised by the use of optical techniques for measuring length, width or thickness specially adapted for measuring length or width of objects while moving for measuring width
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B11/00Measuring arrangements characterised by the use of optical techniques
    • G01B11/16Measuring arrangements characterised by the use of optical techniques for measuring the deformation in a solid, e.g. optical strain gauge
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B29WORKING OF PLASTICS; WORKING OF SUBSTANCES IN A PLASTIC STATE IN GENERAL
    • B29CSHAPING OR JOINING OF PLASTICS; SHAPING OF MATERIAL IN A PLASTIC STATE, NOT OTHERWISE PROVIDED FOR; AFTER-TREATMENT OF THE SHAPED PRODUCTS, e.g. REPAIRING
    • B29C2948/00Indexing scheme relating to extrusion moulding
    • B29C2948/92Measuring, controlling or regulating
    • B29C2948/92009Measured parameter
    • B29C2948/92019Pressure
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B29WORKING OF PLASTICS; WORKING OF SUBSTANCES IN A PLASTIC STATE IN GENERAL
    • B29CSHAPING OR JOINING OF PLASTICS; SHAPING OF MATERIAL IN A PLASTIC STATE, NOT OTHERWISE PROVIDED FOR; AFTER-TREATMENT OF THE SHAPED PRODUCTS, e.g. REPAIRING
    • B29C2948/00Indexing scheme relating to extrusion moulding
    • B29C2948/92Measuring, controlling or regulating
    • B29C2948/92009Measured parameter
    • B29C2948/92028Force; Tension
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B29WORKING OF PLASTICS; WORKING OF SUBSTANCES IN A PLASTIC STATE IN GENERAL
    • B29CSHAPING OR JOINING OF PLASTICS; SHAPING OF MATERIAL IN A PLASTIC STATE, NOT OTHERWISE PROVIDED FOR; AFTER-TREATMENT OF THE SHAPED PRODUCTS, e.g. REPAIRING
    • B29C2948/00Indexing scheme relating to extrusion moulding
    • B29C2948/92Measuring, controlling or regulating
    • B29C2948/92009Measured parameter
    • B29C2948/92066Time, e.g. start, termination, duration or interruption
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B29WORKING OF PLASTICS; WORKING OF SUBSTANCES IN A PLASTIC STATE IN GENERAL
    • B29CSHAPING OR JOINING OF PLASTICS; SHAPING OF MATERIAL IN A PLASTIC STATE, NOT OTHERWISE PROVIDED FOR; AFTER-TREATMENT OF THE SHAPED PRODUCTS, e.g. REPAIRING
    • B29C2948/00Indexing scheme relating to extrusion moulding
    • B29C2948/92Measuring, controlling or regulating
    • B29C2948/92009Measured parameter
    • B29C2948/92114Dimensions
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B29WORKING OF PLASTICS; WORKING OF SUBSTANCES IN A PLASTIC STATE IN GENERAL
    • B29CSHAPING OR JOINING OF PLASTICS; SHAPING OF MATERIAL IN A PLASTIC STATE, NOT OTHERWISE PROVIDED FOR; AFTER-TREATMENT OF THE SHAPED PRODUCTS, e.g. REPAIRING
    • B29C2948/00Indexing scheme relating to extrusion moulding
    • B29C2948/92Measuring, controlling or regulating
    • B29C2948/92009Measured parameter
    • B29C2948/92114Dimensions
    • B29C2948/92123Diameter or circumference
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B29WORKING OF PLASTICS; WORKING OF SUBSTANCES IN A PLASTIC STATE IN GENERAL
    • B29CSHAPING OR JOINING OF PLASTICS; SHAPING OF MATERIAL IN A PLASTIC STATE, NOT OTHERWISE PROVIDED FOR; AFTER-TREATMENT OF THE SHAPED PRODUCTS, e.g. REPAIRING
    • B29C2948/00Indexing scheme relating to extrusion moulding
    • B29C2948/92Measuring, controlling or regulating
    • B29C2948/92009Measured parameter
    • B29C2948/922Viscosity; Melt flow index [MFI]; Molecular weight
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B29WORKING OF PLASTICS; WORKING OF SUBSTANCES IN A PLASTIC STATE IN GENERAL
    • B29CSHAPING OR JOINING OF PLASTICS; SHAPING OF MATERIAL IN A PLASTIC STATE, NOT OTHERWISE PROVIDED FOR; AFTER-TREATMENT OF THE SHAPED PRODUCTS, e.g. REPAIRING
    • B29C2948/00Indexing scheme relating to extrusion moulding
    • B29C2948/92Measuring, controlling or regulating
    • B29C2948/92009Measured parameter
    • B29C2948/92247Optical properties
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B29WORKING OF PLASTICS; WORKING OF SUBSTANCES IN A PLASTIC STATE IN GENERAL
    • B29CSHAPING OR JOINING OF PLASTICS; SHAPING OF MATERIAL IN A PLASTIC STATE, NOT OTHERWISE PROVIDED FOR; AFTER-TREATMENT OF THE SHAPED PRODUCTS, e.g. REPAIRING
    • B29C2948/00Indexing scheme relating to extrusion moulding
    • B29C2948/92Measuring, controlling or regulating
    • B29C2948/92009Measured parameter
    • B29C2948/92314Particular value claimed
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B29WORKING OF PLASTICS; WORKING OF SUBSTANCES IN A PLASTIC STATE IN GENERAL
    • B29CSHAPING OR JOINING OF PLASTICS; SHAPING OF MATERIAL IN A PLASTIC STATE, NOT OTHERWISE PROVIDED FOR; AFTER-TREATMENT OF THE SHAPED PRODUCTS, e.g. REPAIRING
    • B29C2948/00Indexing scheme relating to extrusion moulding
    • B29C2948/92Measuring, controlling or regulating
    • B29C2948/92323Location or phase of measurement
    • B29C2948/92447Moulded article
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B29WORKING OF PLASTICS; WORKING OF SUBSTANCES IN A PLASTIC STATE IN GENERAL
    • B29CSHAPING OR JOINING OF PLASTICS; SHAPING OF MATERIAL IN A PLASTIC STATE, NOT OTHERWISE PROVIDED FOR; AFTER-TREATMENT OF THE SHAPED PRODUCTS, e.g. REPAIRING
    • B29C2948/00Indexing scheme relating to extrusion moulding
    • B29C2948/92Measuring, controlling or regulating
    • B29C2948/92323Location or phase of measurement
    • B29C2948/92466Auxiliary unit, e.g. for external melt filtering, re-combining or transfer between units
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B29WORKING OF PLASTICS; WORKING OF SUBSTANCES IN A PLASTIC STATE IN GENERAL
    • B29CSHAPING OR JOINING OF PLASTICS; SHAPING OF MATERIAL IN A PLASTIC STATE, NOT OTHERWISE PROVIDED FOR; AFTER-TREATMENT OF THE SHAPED PRODUCTS, e.g. REPAIRING
    • B29C2948/00Indexing scheme relating to extrusion moulding
    • B29C2948/92Measuring, controlling or regulating
    • B29C2948/92323Location or phase of measurement
    • B29C2948/92485Start-up, shut-down or parameter setting phase; Emergency shut-down; Material change; Test or laboratory equipment or studies
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B29WORKING OF PLASTICS; WORKING OF SUBSTANCES IN A PLASTIC STATE IN GENERAL
    • B29CSHAPING OR JOINING OF PLASTICS; SHAPING OF MATERIAL IN A PLASTIC STATE, NOT OTHERWISE PROVIDED FOR; AFTER-TREATMENT OF THE SHAPED PRODUCTS, e.g. REPAIRING
    • B29C2948/00Indexing scheme relating to extrusion moulding
    • B29C2948/92Measuring, controlling or regulating
    • B29C2948/92504Controlled parameter
    • B29C2948/92561Time, e.g. start, termination, duration or interruption
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B29WORKING OF PLASTICS; WORKING OF SUBSTANCES IN A PLASTIC STATE IN GENERAL
    • B29CSHAPING OR JOINING OF PLASTICS; SHAPING OF MATERIAL IN A PLASTIC STATE, NOT OTHERWISE PROVIDED FOR; AFTER-TREATMENT OF THE SHAPED PRODUCTS, e.g. REPAIRING
    • B29C2948/00Indexing scheme relating to extrusion moulding
    • B29C2948/92Measuring, controlling or regulating
    • B29C2948/92504Controlled parameter
    • B29C2948/92704Temperature
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B29WORKING OF PLASTICS; WORKING OF SUBSTANCES IN A PLASTIC STATE IN GENERAL
    • B29CSHAPING OR JOINING OF PLASTICS; SHAPING OF MATERIAL IN A PLASTIC STATE, NOT OTHERWISE PROVIDED FOR; AFTER-TREATMENT OF THE SHAPED PRODUCTS, e.g. REPAIRING
    • B29C2948/00Indexing scheme relating to extrusion moulding
    • B29C2948/92Measuring, controlling or regulating
    • B29C2948/92504Controlled parameter
    • B29C2948/92809Particular value claimed
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B29WORKING OF PLASTICS; WORKING OF SUBSTANCES IN A PLASTIC STATE IN GENERAL
    • B29CSHAPING OR JOINING OF PLASTICS; SHAPING OF MATERIAL IN A PLASTIC STATE, NOT OTHERWISE PROVIDED FOR; AFTER-TREATMENT OF THE SHAPED PRODUCTS, e.g. REPAIRING
    • B29C48/00Extrusion moulding, i.e. expressing the moulding material through a die or nozzle which imparts the desired form; Apparatus therefor
    • B29C48/03Extrusion moulding, i.e. expressing the moulding material through a die or nozzle which imparts the desired form; Apparatus therefor characterised by the shape of the extruded material at extrusion
    • B29C48/05Filamentary, e.g. strands

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  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Health & Medical Sciences (AREA)
  • Engineering & Computer Science (AREA)
  • Life Sciences & Earth Sciences (AREA)
  • Chemical & Material Sciences (AREA)
  • Analytical Chemistry (AREA)
  • Biochemistry (AREA)
  • General Health & Medical Sciences (AREA)
  • Mechanical Engineering (AREA)
  • Immunology (AREA)
  • Pathology (AREA)
  • Investigating Strength Of Materials By Application Of Mechanical Stress (AREA)
  • Investigating Materials By The Use Of Optical Means Adapted For Particular Applications (AREA)
  • Extrusion Moulding Of Plastics Or The Like (AREA)

Abstract

ABSTRACT OF THE DISCLOSURE

The invention provides a method of measuring stress relaxation of extruded material which includes the steps of extruding the material from an orifice while monitoring the dimension across the material, then discon-tinuing the extrusion and continuing to monitor the dimension across the material. The method overcomes prior art indirect means of measuring the stress relaxation. The results are disclosed and apparatus used in the method of the invention.

Description

`: ` : ` ` `

. .
OPTIC~I. METHOD AND APP~RATUS FOr~ D~TERMINING
STRE;~;S REL7~XP.'rION

'~
; This invention rela-tes to a method and apparatus for aetermining stress relaxation of elastomers.
~tress relaxation is a useful indicator of the ;
behavior of elastomer compositions then subjected to various processes such as extruding, moldino ana calender- ;
ing, and is useful to cnaracterize elastomer compositions in terms of dimensional stability, flow throughput, etc~
Prior methods of measuring stress relaxation have been by inairect means such as com~ressinq coupled with measure- ~ ~
ment of the recovery by transaucer means or by photograph- -ing. Photographing a sample is a static, time-consuming method suDject to operator error. Comprcssion methods ~ ~
; operate at low shear rates. ~ necessary reauirement for a ~ -meaningful processability test is that the shear rates directly relate to those enc`ountered in the actual process.
Processing rates are typically in the range of 10 - 105 sec~l.
It has been discoverea unexpectedly that the combination of means for extruding plastic material from `
an orifice with means for monitoring its dimensions is an excellent tool for determining stress relaxation. ~ethods applicable for the dynamic measurement of extruded strand of plastic material are already kno~m. A preferred method is measurement of the strand by an optical measuring device as described in U. S. Patent No. 4,037,968 to Monsanto Company.
- 2 - ;`

J

For example, the combination of a capîllary -Q
rheometer, with the optical measuring device as a die swell detector provides an excellen~ system for evaluating physical properties of elastomers ana other polymers which can be worked as plastic substances, whether of the thermosetting type like natural rubber, or the thermoplastic type like polypropylene. In the case of a thermosetting elastomer, it is possible to determine scorch, viscosity, and dimen-sional stability over a range of shear rates and curing characteristics. The optical measuring device or thickness gauge is advantageously used in combination with a rheo-meter to measure shear stress and to display rheometer shear stress and strand thickness.
As the material emerges from the orifice of a capillary rheometer it immediately increases in diameter.
However, relaxation does not occur completely but approaches equilibrium asymptomatically. Upon continuing to monitor the relaxation at a given point, stress relaxation can be measured and correlated with time. According to a preferred -20 embodiment of the aforesaid-principle, an extruaed strand of plastic material is monitored for change in diameter from the orifice diameter during extrusion7 then extrusion is interrupted while continuing to monitor the extru~ate dimension within view of the die swell detector, and the stress relaxation is then correlated with time.
Figure 1 is a schematic perspective view of major components of a die swell detector system.
Figure 2 illustrates the displacement of a light beam caused by refraction of the light beam by a cube.
Figure 3 is a block aiagram showing the preferred system for processing the light detected through the mea- ~
-3- ;
~ , suring space by the photodetector.
Figure 4 illustrates the pulse shapes involved in the system of Figure 3.
Figure 5 is a system layout for property evaluation comprising a capillary rheometer combined with the optical measuring apparatus as a die swell detector.
Figure 6 is a schematic layout of another embodiment of the combination of a capillary rheometer with the die swell detector, showing the principal components and their relationship to the electronics for driving the rheometer and measuring stress relaxation.
Figure 7 is a cross-sectional view of the piston and cylinder of a capillary rheometer suitable for use in a processability testing system.
Figure 8A is a schematic layout of a peak detector and die swell integrator suitable for determining peak re-laxation and the area under a relaxation curve such as shown in Figure 8B.
Figure 8B is an ideali2ed representation of die swell analogue output during intermittent extrusion and static periods plotted against time.
Figure 9 illustrates the tracings o~ a two-pen strip chart recording of processability tests on styrene-butadiene rubber stock.
DIE SWELL MEASUREMENT
Referring to Figure 1, it shows the various elements of the system supported by mounting frame 1. A laser 2, mounted thereon, produces a narrow beam of parallel light in the infrared region, which is passed through a condensor/
collimator 3. A cube prism 4 is rotated at substantially constant speed by motor 5. The prism maintains parallelism of the light and its rotation . . .: . . . .. ::,, ;,: , : : ., :
: . - - . ~

43-0975A 107~829 produces a sweep of a refracted beam of parallel light across the object 6 which in the case illustrated is continuous strand extruded from a capillary rheometer.
The system is especially valuc~ble for measuring small dimensions larger than can be measured by diffraction techniques and, in general, excellent results are ob-tainable over the range of about 0.01 inch to 1.0 inch (0.0254 - 2.54 cm). The beam also sweeps across measur-ing space 7 which is an aperture within which the strand is disposed. The aperture and, hence, the lateral active area may be 0.5 inch (1.27 cm) in a typical example but the system is not limited to this dimension. The light through the aperture passes through condensor lens 8, and the emerging beam is focused onto a photodetector 9.
Compensation for variation of position of the object within the measuring space as well as for motor speed variation is provided by a dual integration tech-nique. To eliminate effect of motor speed variation, the electrical output (composite pulse) from the photodetector is separated into a long pulse determined by the dimen-sions of the aperture and a short pulse determined by the shadow of the strand or object to be measured. ~he long pulse starts and stops the integration of a fixed re~er-ence current from a constant current source. More par-ticularly, the modulated current from the constant current source is gated into an aperture integrator with the long pulses created as the laser beam strikes the leading and trailing edges of the aperture. Since the aperture width is constant, the voltage output of the aperture integrator is proportional to the average sweep speed of the laser beam or motor speed. Such output voltage proportional to 1~768Z9 motor speed is the input to a differential amplifier which provides a current to an extrudate integrator.
Because the current integrated in the extrudate integra-tor is proportional to motor speed by the same ratio as the current integrated in the aperture integrator, the output voltage of extrudate integrator is proportional to the strand diameter only and is not affected by motor speed. Therefore, motor speed variations have no effect on this voltage.

There is a geometrical velocity error created by the refraction of a light beam ~y a rotating cube. ~efrac-tion of a light beam by a cube creates a displacement pro-portional to the rotational angle of the cube as illustrated in Figure 2. If D represents the linear displacement of the incident beam, D = T sine ~ (1 - ) where T
N cosine ~' is the length of the side of the cube, a is the angle of incidence, ~' is the angle of deviation and N is the refrac-tive index of the cube. The rate of change of displacement of the beam sweeping across the measuring space is not constant angular velocity but follows an approximate sine function. An approximate sine function (compensation signal) representative of rate of change of displacement of the beam is generated in synchronization with the aperture pulse from the pulse separator. This compensation signal is integrated in synchronization with a sweep compensation integrator and in synchronization with the shadow of the strand to provide offset correction ~or the extrudate integrator in relation to the position of the extrudate in the aperture. The out-puts from the extrudate integrator and the sweep compensation integrator are summed to provide an output voltage propor-tional to strand diameter, which is not affected by motor speed fluctuation or position of the extrudate within the aperture. Effectively, the sample can move to any position in the measuring area without substantially affecting the measurement accuracy. Similarly, the sample can move in line with a receiving beam and because the spot size is constant, and the scanning beam rays are parallel, movement in this plane will not affect accuracy. The analogue vol-tage can then be scaled to provide dimensions in English units, metric units, and percent die swell with a single 10 output amplifier and panel meter. ;
Ref~rring to Figures 3 and 4, the photodetector 10 generates a signal represented by A of Figure 4. The illumi-nation detected by the photode~tector as the beam crosses the edge of the measuring space (aperture) from the nonilluminated to the illuminated direction rises rapidly to a maximum and then falls to a minimum again as the beam passes one edge of the object in the illuminated to nonilluminated direction.
It again rises rapidly to a maximum as the beam crosses the other edge of the object in the nonilluminated to illuminated direction. Finally, the illumination detected by the photo- ;
detector falls once more to a minimum as the beam crosses the other edge of the aperture in the illuminated to non-illuminated direction. The dashed vertical lines on Figure
4 correspond to the aforementioned four edges.
Pulse shaper 11 converts the photoelectric output A
to squared pulse B so as to provide a definite low-high, high-low sequence each time the beam crosses an edge, whether it be edge of the aperture or the edge of the object. The pulse separator and control logic 12 provide a pulse C desig-nated "aperture pulse" representative of the width of theaperture (aperture and window are herein used synonymously~

` -7-43-0975A ~7682~ !

and a pulse D representative of the width of the objec~
designated "extrudate pulse". It follows from Figure 2 that the sweep velocity reaches a minimum halfway between the edges of the aperture. Since the rate of change of displacement or linear velocity is greatest at the aper-ture edges and progressively diminishes to the center from either edge, the correction is directly proportional to distance from an edge. For synchronization it is convenient to generate an inverted aperture pulse E and a 50% aperture pulse F because the correction is symmetrical around the midpoint of the aperture.
The aperture pulse is used to start and stop the integration of a constant current 14 derived from a fixed constant voltage source 13. Since the aperture width is constant, the voltage output G of the aperture integrator 15 is proportional to the average sweep speed of the laser beam determined by motor speed. This output voltage, pro-portional to sweep speed, is supplied to one input of differential amplifier 18. Such input (V2) is compared with the reference voltage (Vl) from constant voltage source 13 and the algebraic sum (inversely proportional to average sweep speed) supplied as the input to the extrudate integra-tor 19. The extrudate integrator 19 is started and stopped ~y the extrudate pulse D. The current integrated is inversely proportional to sweep speed by the same ratio as the extru-date pulse wiclth, therefore, the output of the extrudate integrator 19 is proportional to strand diameter only and not affected by average sweep speed.
A sweep compensation signal generator 16 generates a compensation signal in synchronization with the inverted aperture pulse E and the 50% aperture pulse F supplied from .. . ...

~3-0975A 1~768~9 the pulse separator 12. This compensation siqnal I is integrated by the sweep compensation integrator 17 in synchronization with the extrudate pulse D. Pulse E
represents the full aperture size but is inverted to afford the polarity which will enable it to perform its synchronizing function. Pulse F represents one half the aperture pulse and is used to determine the midpoint of the aperture. The leading edge of the inverted aperture pulse triggers pulse F, causing voltage to ramp up over the span of pulse F and ramp down again to zero at the end of the pulse E. The triangular wave thus formed is shaped into 1/2 a sine wave. When triggered by pulse F and the leading edge of the aperture, the voltage builds up at a rate approximating a sine wave function to a maxi-mum at the point corresponding to the midpoint of the aper-ture then drops again to zero at the trailing edge of the aperture.
The output of the extrudate integrator 19 and the sweep compensation integrator 17, waveforms H and J, are supplied to a differential amplifier 20 to be algebraically summed to provide an output voltage (V5A) proportional to extrudate diameter and not affected by position of extrudate in the aperture or speed fluctuation.
The output of the differential amplifier 20 is supplied to the gated output amplifier 21, which performs a sample and hold function following each extrudate pulse D except when a limit hold pulse inhibits the output gate 22.
The out of aplerture pulse from the pulse separator 12 is initiated whenever the extrudate pulse D is missing in the composite pulse B input to the pulse separator 12. This condition occurs whenever the motion of the extrudate would 43-0975A 1~76~Z9 cause it to appear (optically) to contact the edge of the aperture or to move completely out of the aperture. The out of aperture pulse triggers the aperture limit function 23 which latches into a hold condition, illuminating the aperture limit lamp L and inhibiting the output gate 220 The limit hold condition remains latched until a valid extrudate pulse appears. This latching function insures that only valid measurements are applied to display (readout) circuits.
The signal V5B from the gated output amplifier 21 is applied to the display scale function 24 which scales it in English or metric engineering units. The scaled signal from the display scale function 24 is selected by the display selector 25 for display as either direct measurement of the extrudate diameter or percent swell based upon die ~orifice) diameter. The percent swell function 26 subtracts ~he ori-fice diameter from the calibrated input and converts the difference into percent swell. The outpùt from the percent swell function 26 or the output from the display scale ~ -function is then applied to the output buffer 27 for electri-cal isolation and impedance matching for display devices.
One output is applied to an analogue to digital converter 28 (digital panel meter) and another to recorder 29. The digital panel meter may then drive printer 30 which prints .;
out the selected parameter in digital units. The resultant display can thus be switched at will from strand diameter, for example, in thousandths of an inch or in millimeters to percent die swell.
Although the scanning beam diameter is reduced from approximately 0.40 inches (1.016 cm) to 0.005 inches (0.0127 cm) by the condensing/collimating lens combination, there is still : ., ... : , ~ .. ..

1~76~329 a potential error caused by part of the beam passing the edge of the object to be measured .Previous techniques have used a variable threshold level set for each nominal measurement or a zero crossing of the second differential of the photodetector. The former technique is effective only over a narrow range of diameters near that of a set nominal and the latter technique requires sophisticated electronics. Measurements with calibrated gauge pins have shown this beam diameter error to be a constant value for any specif~c beam and photodetector combination. With the above-mentioned reference integration circuit, a slight offset of the modulated reference current will effectively compensate for this beam diameter error for all diameters within the capacity of the system.
DESCRIPTION OF PREFERRED EMBODIMENTS
_ Figure 5 illustrates a system layout for evaluating properties of plastic substances by combining a capillary rheometer with the optical measuring apparatus as a die swell detector. An automatic capillary rheometer 31 extrudes from its orifice the strand 6 in the path of parallel light rays from the laser 2. The laser is vertically mounted and the strand extruded vertically but the collimator rotating cubic prism assembly 32 directs the light horizontally through a collimator and rotating prism so as to sweep the light rays across the strand and across the aperture in the photodetector assembly 33. The collimator rotating cube assembly corres-ponds to collimator 3 and rotating prism 4 of Figure 1 and contains in addition a front surface mirror to direct the laser beam. It simplifies the arrangement of the electronics to detect the light on the same side of the strand as the side on which the light source is mounted and, in addition, ~;~
-11- ;

:
.

~- ~0~

permits vertical adjustment of the beam to enable either manual or automatic vertical scan of the extrudate.
Accordingly, reflecting prism assembly 34 comprising a base on which two reflecting prisms are mounted diver-ts the light back to photodetector assembly 33. The photo-detector assembly contains an aperture, condensing lens and photocell and corresponds to aperture 7, condensing lens 8 and photodetector 9 of Figure 1. The die swell dimensional monitor electronics 35 carry out the functions of elements 11-29 of Figure 2 and in addition may contain the electronics for the conventional capillary rheometer.
Thus, the strip chart recorder 36 may chart dimensions of the extrudate or percent die swell as one tracing and rate of shear or stress as the other. The data printer 37, which may be a teletype or the;lr~e, prints out such digital readouts~as are desired.~ h ~ s~ Th~ comp~nents`of a system for measuring pro-cessability will be more clearly understood by referring to Figure 6 which relates the electronics to a capillary rheometer. The drive system for the capillary rheometer 38 preferably comprises a closed loop servo hydraulic cylinder, controlled by digital pulses supplied by the drive electronics programmer 39. For example, the drive system may comprise an Olsen Lineas Electrohydraulic Pulse Drive Model No. LS300 manufactured by Olsen Control Inc.
Bristol, Conn. and described in U. S. Patent No. 3,899,956.
The control may be a microcomputer such as -the MCS-40 microcomputer available from Intel Corporation. In this ; embodiment, guide rods 40 mounted between base support 41 and top support 42 guide the movement of a constant rate crosshead 43. The drive system drives the crosshead at a ., ~ . , . - :

~C~76~3~9 :

constant rate independent of loading effects of the material under test. The digital drive enables the selection of either a predetermined single constant rate of crosshead travel or a controlled continuous sweep of different rates of crosshead travel over a predetermined range as provided by the programmer.
A strain gauge load cell 44 is mounted on the crosshead and suitably coupled through head insulation to a temperature_controlled piston ~5. The stress signal from the load cell is processed by the stress electronics 46 and can be recorded as hereinafter explained. Alter-natively, a pressure transducer 63 may be mounted at the base of the sample test cavity but above the entrance to the capillary orifice as shown in Figure 7. The laser scanning monitor 32 is the collimator rotating prism assembly previously described and is under control of the die swell electronics 35. It is generally in a fixed position, usually 3 _ 300 millimeter from the orifice outlet, at the base of the capillary rheometer on support member 47. Photodetector 33, mounted on opposite support member 47', views extrudate 6 extruded from the tempera-; ture_controlled barrel and orifice assembly indicated :........................................................................ .
generally as 62.
In another embodiment advantageous for determining ~ , `l rapidly swelling materials, the scanning assembly is con-tinuously raised and lowered as by an electrically driven motor, (not illustrated), For example, in typical case, the scanning assembly might be raised and lowered over a ;` range of 3 _ 50 mm. from the orifice outlet. The strand ~; .
dimension at the beginning of the cycle 3mm. for the orifice outlet and the maximum strand 1~7f~8Z~
dimension during the cycle, provide a convenient basis for determining swelling rate. The distance from the orifice at which the maximum occurs, which will of course be the maximum distance from orifice outlet if swelling continues over the entire range of observations, can be readily determined from the continous graphical recording of dimensions. That distance combined with knowledge of the rate at which the material is extruded permits calculations of the time to achieve maximum swelling and 10 this together with knowledge of extent of swelling over run time permits precise determination of the rate of swell-ing of the test material.
Figure 7 is a cross-sectional view of the piston and cylinder of the preferred capillary rheometer. Piston 45 contains a cartridge heater 48 and comprises a terminal section 49, machined to engage the barrel 50 in close tolerance, and roughened at the tip to engage the test ~ *
sample. A continuous groove is machined into the tip.
The root mean square depth of the grooves is typically in the range of 125 to 250 micro inches (.375 - .653 cm) as measured by a proliferometer. The sample residue clings to the piston surface so roughened and is easily -~
removed upon raising the piston. The piston displacement range may typically be 0.05 - 5.0 in. per minute (0.127 - 12.7 cm~ per minute ~ 1%, and the load capacity range is 0 - 6200 pounds (0 - 2813 kg) .
In the cylinder section cap screws 51 hold clamp ring 52, support plate 53 and insulators 54 and 55. Heater 56 surrounds the barrel and controls temperature independent-30 ly of the piston to precise limits over the range from slightly above ambient temperatures to 550F (287.78C).

10768~9 The dimensions of the barrel s~ction 50 are designed to permit easy load~ng of the sample. Typically, the dia-meter is 3/4 inch (1.905 cm). The clamp ring 52 has about a 15 degree entrance angle and the barrel has a piston leaa in taper 57 which may be 3, for example, to fac;litate piston entrance and sample loading. The straight section of the barrel comprises the sample-hold-ing portion 58 which in a typical case may be 2 in.
~5.08 cm). At the base of the barrel 50 but above the entrance to the capillary orifice is the aforementioned pressure transducer 63. For some polymers a pressure transducer indicates sample stress more accurately than a load cell shown in Figure 6. Certain polymers of which natural rubber is an example tend to stick to the barrel.
Because of the resulting pressure loss, the load applied by the piston may not be an accurate measure of the stress on the material at the bottom of the barrel. The piston automatically stops when it reaches the extremity of the sample holding portion to avoid injury to the capillary.
Capillary body 59 is held in place by retaining nut 60. A number of different orifices are provided and can be readily interchanged. The entrance angle 61 can vary but will generally be 60 - 90. It will be noted that an entrance angle of 90 as illustrated means that each side of the cone-shaped entrance section makes an angle of 45 with its base. If desired, a compound entrance angle may be used such as 90 and 60 with the entrance area as much as 100% of the piston surface area.
The capillary orifices typically have a minimum of 20:1 length over diameter ratio and nominal diameters of .020, .040, .080 and .100 inches (.0508, .1016, .2032 and .254 cm).

1~768Z9 The operation is briefly as follows:
A sample of rubber is placed in the barrel section, the piston is driven down initially compressing the sample in the barrel. A preheat condition is usually established to enable the sample to reach equilibrium temperature of the ;
barrel, After this dwell period the crosshead will then be driven down at a controlled rate. This rate will be single speed or continuously variable depending upon the test mode selected.
The load cell or pressure transducer will detect the force required to extrude the sample and the resultant signal from the stress electronics, which can be either analogue or digital. w~ll be presented on a chart recorder or displayed digitally. Simultaneously, the emerging ex-truded strand will be monitored ~y the die swell device and from the electronics of the die swell device an output ` is derived, which will correspond to percent die swell or actual dimens~ons of the extrudate. This information can be displayed digitally or presented on the chart recorder.
Figure 8A indicates schematically a typical die . , .
swell integrator suitable to extract the area under the relaxation curve shown in Figure 8B. Time period B repre-sents the extrusion period and A is the corresponding per-cent die swell for that period. At the end of period B
the crosshead is stopped. The die swell monitor continues to monitor the stationary strand. The analo~ue output of the die swell electronics is fed to the input of a sample and hold circuit comprising suitable resistors, electronic switch capacitor and operational amplifier Al. Controls (a), (b) and ~c) are in effect electronic switches. Dur-ing period B this sample and hold circuit is active and 43-0975A ~0768Z~

the output of Al ~same as die swell input) is contin-uously following the actual die swell signal. Control (a) is closed and at the end of B it switches to open thereby changing the circuit to "hold" mode. The out-put of the sample and hold circuit represents the per-cent die swell "A" during extrusion. Control (b) now closes and control tc) which is normally closed simul-taneously opens thereby connecting the integrator circuit to which is fed the signal voltage after subtracting the 10 voltage of the sample and hold circuit. The input to the ;
integrator wiil be the increasing recovery signal minus "A". Strictly speaking a sample and hold circuit stores the last value received but there is some averaging in the operation and the value "A" is in effect the average die swell during extrusion. The signal representing the area under the curve C will be obtained from the integra-tor. The total die swell is represented by D.
A~ter a defined time period, control tb) will again be operated, this time to open and thereby prevent further integration while tc) remains open and causes the integrated value to be stored. The resultant integral can be connected to a digital output and displayed. After some finite elapsed time ollowing the integration control (c) is activated to its normally closed position and con-trol (a) simultaneously closes thereby resetting the inte-; grator to its original condition prior to making another measurement.
Fi.gure 9 shows tracings of a two-pen strip chart recording tests of a styrene butadiene copolymer rubber ~0 sto~k at a shear rate of 250 sec-' under the following conditions using a constant shear rate capillary rheometer 43-0975A ~768Z9 system as illustrated in Figure 6:
l. Material: SBR compound 2. Test temperature: 212F 1100C) 3. Sample volume: 0.443 cu in. (7.26 cu cm) 4. Sample preheat time: 4.0 minutes
5. Sample weight: 9.5 grams
6. Force range: 0 to 5000 pounds t0 - 2268 kg) full scale
7. Die swell range: 0 to l00~ full scale
8. The total volu,me of 0.443 in.3 is extruded in four separate increments of 0.ll in.3 (l.80 cm3) to increass the total number of relaxed die swell measurements for each test run.
Orifice size, temperature, sample volume and shear rate are constant. The system is calibrated so that one pen traces ' die swell in percent and the other traces force. For example the average die swell over the four cycles is 16.33%, each unit on the horizontal axis representing l~
die swell in the case of one pen and about 60 pounds or 27.22 kg. in the case of the other. The vertical axis represents time. It will be appreciated that the force intervals correspond to the extrusion intervals, although the pen which traces the force is displaced upward on the time axis to avoid interference wit~ the other pen. The results of six t:ests in which the average force varied (difference preselected shear rates) are summarized on the following page. The reported data are the average force, shear stress ancl die swell for each test run.

. ~

43-0975A 1~ ~68~9 Average Average Uncorrected Die swell Test force shear stress shear rate Run Relaxed No. lb. kg. me~adynes/cm2 (sec~l) (%) (%) 1 2081 943.92 4.38 80 1~.75 22.3 2 2333 1058.234.85 110 17.2 24 3 2475 1122.635.15 150 16.8 25 4 2675 1213.355.53 250 16.33 26.3 2800 1270.05 5.8 350 16.5 27.5 6 3030 1374.38 6.3 500 1~.8 30.1 With respect to these data, the function of the sample and hold circuit of Figure 7A is to hold the value of the die swell detected during extrusion and the function of the integrator is to integrate the difference between such values and the varying values of total die swell during the period the strand is stationary. The "Die swell Re-laxed" in the table above is the total percent die swell detected at the end of the stationary period corresponding to the value "D" in Fig. 8B. It has been found that the value "D" correlates directly with volumetric die swell, 2~ the latter being usually determined after a predetermined period of time, usually hours whereas the result is ob-tained within seconds by the present invention. If de- ;
sired, the inteclrated values may be ob1clined directly from -~
the tracings by measuring the area under the die swell ;
curve during the periods the strand is stationary. The stationary periods are preferably short to minimize effect of cooling.
It will be appreciated that the value "D" in Fig 8B is the maximum die swell. In this connection the peak detector circuit, preferably included in the electronic controls, may be, for example, a Burr-Brown peak detector Type Nu. ~084/2~ and if desired a peak detector circuit may replace ~l~7~

instead of supplement the integrator circuit. It should be appreciated, however~ that the two circuits provide different information about the processability of a material.
For example, two materials with similar elasticities but different viscosities will reach comparable swelling values but at different rates. As pointed out before, maximum die swell correlates well with volumetric die swell. In the ` ~`
embodiment illustrated in Fig. 8A both are being determined and depending upon the setting of the ~elector switch either the peak swelling or the swelling integral may be displayed in the unit identified as analogue to digital converter and digital display. The time selected for the resting period should be long enough to allow development of a maximum value and may be adjusted from time to time depending upon the material being evaluated.
A single extrusion period for theeen~i~e sample followed by a single relaxation period is advantageous for production control tests. Initially ~ stock of unknown processing characteristics will usually be examined over a number of preselected shear rates and then relatively evaluated at shear rates approximately those under which it is being processed in the plant. `
Although the invention has been illustrated by typical examples, it is not limited thereto. Changes and modifications of the examples of the invention herein chosen for purposes of disclosure can be made which do not constitute departure from the spirit and scope of the invention.

.

Claims (11)

The embodiments of the invention in which an exclusive property or privilege is claimed are defined as follows:
1. A method of measuring stress relaxation of extruded material which comprises extruding the material from an orifice while monitoring the dimension across the material, then discontinuing the extrusion and con-tinuing to monitor the dimension across the material.
2. The method of Claim 1 in which the extrusion is at constant shear rate.
3. The method of Claim 1 in which the extrusion is at constant shear stress.
4. The method of Claim 1 in which the extruding and discontinuing periods are repeated.
5. The method of Claim 1 in which the extruded material is strand of organic polymer, the dimension across the strand is monitored during a predetermined time of extrusion, then during a predetermined time of resting and the dimensions greater than the dimensions during the extrusion time are integrated during the resting time.
6. The method of Claim 1 in which the extruded material is strand of organic polymer, the dimension across the strand is monitored during a predetermined time of extrusion and during a predetermined time of resting and the maximum dimension during the predetermined time of rest-ing is determined.
7. The method of Claim 1 in which the material is extruded over a series of preselected different shear rates and both shear stress and die swell are determined as a function of shear rate over one or more relaxations at the preselected shear rates.
8. Apparatus for measuring stress relaxation of extrudated material comprising:
extrusion means for extruding a strand of material between the edges of an aperture, control means to provide extrusion during a preselected time of extrusion and to discontinue extrusion during a preselected time of resting, optical means for scanning the extrudate in the aperture and measuring the dimensions across the material during said preselected time intervals, and means for integrating the values of the dimension during the interval of resting.
9. Apparatus of Claim 8 in which the extrusion means comprises means for extruding at constant shear rate or constant stress and in which the control means includes means for repeating the extruding and resting times.
10. Apparatus of Claim 8 in which the means for extruding strand includes means for extruding over a series of different constant shear rates and means to plot shear stress vs shear rate.
11. Apparatus of Claim 8 which further includes means for determining the maximum swelling value during such intervals.
CA268,391A 1975-12-22 1976-12-21 Optical method and apparatus for determining stress relaxation Expired CA1076829A (en)

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
US05/642,705 US4037968A (en) 1975-12-22 1975-12-22 Method and apparatus for measuring a dimension of an object in a defined space by scanning with a light beam
US05/721,152 US4101612A (en) 1975-12-22 1976-09-10 Optical method and apparatus for determining stress relaxation

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FR1080511A (en) * 1954-08-03 1954-12-09 Ct D Etude Des Matieres Plasti Method and apparatus for measuring the instantaneous plasticity of plastics
US3048030A (en) * 1958-05-29 1962-08-07 Phillips Petroleum Co Melt index apparatus
FR1238664A (en) * 1959-07-22 1960-08-12 Raschig Gmbh Dr F Method and apparatus for assessing the workability of plastic masses
FR1302821A (en) * 1960-10-07 1962-08-31 Monsanto Chemicals Method and apparatus for measuring the melt index of polymeric materials
US3526126A (en) * 1968-09-03 1970-09-01 Exxon Research Engineering Co Method and apparatus for determining the molecular weight distribution of polymers
DE1922414C3 (en) * 1969-05-02 1978-06-22 Basf Ag, 6700 Ludwigshafen Arrangement for determining the mechanical deformation behavior of viscoelastic materials, in particular plastic melts
US3765774A (en) * 1972-01-31 1973-10-16 Techmet Co Optical measuring apparatus
GB1400253A (en) * 1972-03-17 1975-07-16 Ti Group Services Ltd Gauging dimensions
US3818751A (en) * 1972-05-23 1974-06-25 Goodrich Co B F Testing apparatus for elastomers
US3832886A (en) * 1972-06-05 1974-09-03 Uniroyal Inc Die swell testing

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IT1121750B (en) 1986-04-23
JPS5280088A (en) 1977-07-05
GB1556757A (en) 1979-11-28
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FR2336661B1 (en) 1982-10-22
DE2657937A1 (en) 1977-07-07

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