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The dual pressure procedure in polymer butt-welding, where the pressure is reduced after a few seconds, is usually used for large-scale pipes and is also standardized in regulations like ISO 21307. This work addresses the impact of using dual-pressure welding procedures on small-scale pipes made of PE 100 and PE100RC materials. Special attention is given to mechanical and also fracture-mechanical short- And long- Term properties of the welded areas and their surroundings.
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IMPACT OF SINGLE AND DUAL PRESSURE BUTT-WELDING PROCEDURES ON
THE RELIABILITY OF PE 100 PIPE WELDS
Florian J. Arbeiter and Gerald Pinter, Montanuniversitaet Leoben, Leoben, Austria
Andreas Frank, Polymer Competence Center Leoben, Leoben
Abstract
The dual pressure procedure in polymer butt-welding,
where the pressure is reduced after a few seconds, is
usually used for large-scale pipes and is also standardized
in regulations like ISO 21307. This work addresses the
impact of using dual-pressure welding procedures on
small-scale pipes made of PE 100 and PE 100 RC
materials. Special attention is given to mechanical and
also fracture-mechanical short- and long-term properties
of the welded areas and their surroundings.
Introduction
Pipes made from high density Polyethylene (PE-HD)
are used for gas and water distribution for well over 50
years now [1–3] . Modern pipe grades are estimated to last
over 100 years under normal operating conditions [3–5] .
Therefore it is vital to be able to characterize and test
these materials with accelerated test methods. In the last
years various methods like the Full Notched Creep Test,
Notched Pipe tests etc. have been developed and are well
established now and can be used to determine long-term
properties of pipe materials (ISO 16770, ISO 13479, etc.).
Pipe welds on the other hand are usually only
characterized by standardized short term tests
(DVS 2203). These tests can be used to differentiate
between good and bad welds, however do not necessarily
describe the long-term properties and fracture mechanism
of welds in actual application. Therefore it is important to
test short- and long-term properties of welds to give a
clear view of their performance.
Various authors have shown in the past that cracks in
pipe welds are most likely to initiate at notches, created
from the beads which form during the welding process.
The cracks however tend to grow alongside the weld in
the pipe material itself and not the actual weld [6–8] .
Therefore the behavior of the bulk material is important
when considering long term failure of pipe weld.
Imperfections created during the welding process however
can lead to actual crack growth inside the pipe weld.
Hence it is important to also examine the short- and long-
term properties of the weld material itself.
To characterize material and short term properties
Charpy-Impact, tensile- and differential scanning
calorimetry tests were performed on specimen, directly
cut from pipe welds. The long term properties of the
welds were tested by means of the recently standardized
Cracked Round Bar (CRB) test (ONR 25194). To
simulate imperfections in the welds, Charpy and CRB
specimens were notched with razor blades inside the
actual weld.
The goal of this paper was to use the upper mentioned
tests to characterize PE 100 and PE 100 RC pipe welds.
To emphasize the influence of welding parameters on
crack growth, heat soak time and the applied pressure
profile have been varied. Focus has been given to the
effect of using the dual pressure procedure, which is
usually used for large scale pipes, on small scale pipes.
Butt welding
There are various standards which are used for butt-
welding PE 100 pipes. They are usually optimized for the
different demands of the application site. Nevertheless
most standards have similar procedures. First there have
to be clean level surfaces, produced by milling and a first
contact pressure on the heating plate. Afterwards material
is melted to a certain degree during the heat soak time.
Then the hot plate is removed and the two pipes are
pressed together, forming the weld.
In the course of this work the welding procedure
according to the German standard DVS 2207-1 and the
ISO 21307 standard for the dual pressure procedure were
used (figure 1). After leveling the two pipes by milling
and cleaning the surfaces, both pipes are pressed against
the heating plate with a pressure of 0.15 MPa until an
initial bead is formed. When the initial bead is formed the
pressure is reduced to ≤ 0.01 MPa. Afterwards follows the
heat soak time. According to DVS 2207-1 it is 10 times
the wall thickness (e.g. 160 s for 16 mm thickness). The
next step is to remove the heating plate as fast as possible
to minimize cooling of the surfaces. The last step is to
press the two pipe ends together with 0.15 MPa. The
difference in the dual-pressure procedure is that the
pressure is reduced to 1/6 of the initial value after 30
seconds. This procedure, according to ISO 21307 is only
used for large scale pipes with a wall thickness of at least
22 mm.
0,00
0,05
0,10
0,15
Contact Pressure [MPa]
Time
levelling surfaces
initial bead build up
cooling - single-pressure
cooling - dual-pressure
heat soak time
Figure 1. Butt welding procedure according to
DVS 2207-1 and ISO 21307
Failure mechanisms in pressurized pipes
Failure of pressurized PE pipes can be divided into
three regions [2, 9]. The first region is where pipes
fracture after relatively short times due to ductile
deformation and rupture. The second region is governed
by crack initiation and slow crack growth (SCG). The
third region is failure due to global material ageing after
long periods of time. Failure in the first region often
occurs when the applied pressure is too high for the used
wall thickness. Failure in the third region can be reduced
by using long term stabilizers. Failure in the second
region is mainly governed by the molecular structure and
molecular weight distribution of the used polymer [10].
Failure times in this region should be greater than 50
years to ensure operational reliability of pipe systems. It is
necessary to use testing methods which can describe
failure due to SCG of PE pipe systems in shortened
testing times. A possibility poses the use of linear elastic
fracture mechanics (LEFM) which can be used to describe
said crack growth phenomena. By using LEFM the
distribution of applied stress in the vicinity of a crack tip
can be described by the stress intensity factor KI (I stands
for mode I which describes a crack opening load normal
to the crack plane). This factor is a function of applied
stress (), crack length (a) and a geometric factor (Y) that
depends on the used specimen (eq. 1) [11]. Laboratory
tests according to LEFM can be used to shorten testing
times significantly.
(1)
By applying cyclic loading instead of static loads testing
times can be further decreased, but the results are still in
good accordance to long term tests like the internal
pressure test. Recent work has shown that the use of
fatigue testing, within the limitations of LEFM and the
usage of CRB specimen is a valid tool to compare
different PE pipe grades in regard to SCG [12–16].
Therefore this testing method, which is also described in
the Austrian standard ONR 25194, was chosen to compare
different welds with respect to their resistance against
SCG.
Materials
The materials used for the experiments were three
different PE-HD types. PE 100 class materials have a
"minimum required strength " (MRS) of 10 MPa at 20°C
over a time period of 50 years. All used materials are of
this class and described in Table 1.
Table 1. Used Materials for welding.
bimodal PE -HD ,
standard PE 100
bimodal PE -HD
modified for high crack resistance
Experimental
To produce weld samples with varied parameters
pipes in the size DN160 were chosen. These pipes have a
diameter of 160 mm and a wall thickness of 14.6 mm
which requires single-pressure welding procedures
according to DVS 2207-1 and ISO 21307. Heat soak time
and pressure profile were varied during the welding
procedures. The exact variation of parameters can be seen
in Table 2.
Table 2. Welding parameters.
Differential Scanning Calorimetry
Differential Scanning Calorimetry (DSC) was used to
determine changes in cristallinity due to welding.
Therefore small samples of about 5 mg were cut from the
weld near the outer surface, the inner surface and the
middle of the pipe wall and also in respect to the distance
from the weld. The result for the weld, which was
prepared according to DVS 2207-1, is shown in figure 2.
Inner Surface Middle of Pipe Wall Outer Surface
0
1
2
3
4
45
50
55
60
65
PE 100 Pipe Weld according to DVS 2207-1
DSC: Heating Rate 10 K/min
Sample Size: 5 mg
Weld-Material
Pipe-Material (Distance from weld 20 mm)
Pipe-Material (Distance from weld >100 mm)
Degree of Cristallinity [%]
Sample Area
Figure 2. Degree of cristallinity in reference to sample
position in the pipe/weld
It can be seen, that the welding procedure increases
the degree of cristallinity of material near the weld
compared to the untreated pipe. Higher degrees of
cristallinity usually lead to higher stiffness of the material.
A schematic drawing of this gradient can be seen in
figure 3. Mechanical properties behave accordingly.
Figure 3. Gradient of degree of cristallinity in pipe weld
The variations in degree of cristallinity between the
different welding parameters were between 58 % and
61 %. Differences of this small magnitude are within the
uncertainty of the measuring apparatus and no further
statement in regard to welding parameters could be made.
Tensile Testing
To test the mechanical properties of the welds, thin
samples (200 µm) were cut from the welds at the same
positions as for the DSC tests. A schematic drawing of the
samples can be seen in figure 4.
Figure 4. Specimens used for tensile testing of welds
Not only tensile properties were observed, but also
the location where the first neck-in during the tests
occurred. The majority of samples showed neck-ins
outside of the welds. This strengthens the proposition of
the variation of mechanical properties according to the
degree of cristallinity. The Young's modulus showed no
significant change in respect to welding parameters as to
be suspected when considering results from DSC
measurements and the fact, that the tensile tests were
performed on specimens which consisted of bulk- and
weld material alike. Using the dual-pressure procedure
however increased yield stress and decreased yield strain,
respectively. The influence on yield stress for the PE 100
welds can be seen in figure 5. A similar trend was found
for tensile strength. The tests at the middle of the pipe
wall showed little to no variation and since crack initiation
is most likely to start at the surface areas, only outer and
inner samples are compared.
I II III IV V
0
5
10
15
20
25
Yield Stress [MPa]
Welding Parameter
PE100 - Yield Stress
Testing Speed: 50 mm/min
Testing Conditions: 23°C
Yield Stress - Inside Surface
Yield Stress - Outside Surface
I Single short soak time III Dual short soak time
II Single long soak time IV Dual long soak time
V according to DVS 2207-1
Figure 5. Variation of yield stress depending on welding
parameter
Impact Testing
To further characterize mechanical behavior of the
welded material impact testing was performed. The tests
were performed based on ISO 179 in Charpy setup. To
ensure similar testing conditions and to ensure crack
initiation inside the weld all specimens (10x10x50 mm)
were additionally notched with a sharp razor blade to
further sharpen the milled V-notch. All tests were
performed using a 2 Joule Hammer at 23°C. After the
tests the fracture surfaces were measured using a
microscope to get more precise areas. In figure 6 the
results of the tests are shown, normalized by the fracture
energy of the unwelded pipe material.
III III IV V I II III IV V
0,00
0,25
0,50
0,75
1,00
normalised Impact Energy [/]
Welding Parameter
Verhältnis geschweißter zu ungeschweißter Pendelschlagprobe
Impact Testing
Impact Hammer: 2J
Testing Conditions: 23°C
PE100 RC Welds PE100 Welds
I Single short soak time III Dual short soak time
II Single long soak time IV Dual long soak time
V according to DVS 2207-1
Figure 6. Normalized Impact Energy in regard to
welding parameters of PE 100 and PE 100 RC
According to these results it seems the Dual-pressure
procedure improves the impact behavior of welds which
can hint at better resistance against rapid crack
propagation.
Fatigue Testing
To properly validate the influence of welding
parameters on long-term properties of welds fatigue tests
were performed. The testing conditions were a frequency
of 10 Hz , an R-ratio of 0.1 and a testing temperature of
23°C. Hysteretic heating was monitored via IR-sensors
and showed no increase in temperature more than 5°C. All
tests were performed on CRB-specimens directly lathed
from the pipe walls. The specimens were
circumferentially notched with a sharp razor blade
precisely in the welded area. Therefore again the
properties of the weld itself, and not the pipe material
around were tested. Specimens without welds were tested
as a comparison. To be able to differentiate between
Single and Dual-pressure procedure more clearly, the two
extreme cases, Single-pressure with elongated and Dual-
pressure with shortened heat soaking time, were tested.
The results can be seen in figure 7.
100000 1000000
0,50
0,60
0,70
0,80
Fracture in PE 100 welds
Testing Conditions: 23°C
Test Frequency: 10 Hz
Loading Ratio: 0.1
PE100 - Dual-pressure, short soak time
PE100 - Single-pressure, long soak time
PE100 - According to DVS 2207-1
PE100 - Pipe without a weld
KImax [MPam0.5]
Cycles
Figure 7. Cycles until failure of PE 100 pipe welds and
pipe material as a function of the maximum
applied KI .
Similar to the impact testing an improvement of the
fracture behavior can be observed in the dual-pressure
welds compared to the single-pressure welds. The pipe
material itself shows significantly better resistance against
SCG than the welds.
Discussion
As expected butt welded pipes show good mechanical
overall behavior. Mechanical properties such as Young's
Modulus of the weld are of similar or even higher
magnitude than the bulk material of the pipe itself. The
development of welding beads, however, leads to the
creation of notches at the interface between weld and bulk
material of the pipe, creating local stress concentrations.
Initiating from these notches cracks can start to grow into
the pipe wall. Studies showed that cracks tend to grow
alongside the welded area and not in the welded area
itself. Thus the crack resistance of the bulk material
adjacent to the weld is very important when considering
failure mechanism of pipe welds.
Another matter altogether is when imperfections,
such as voids, cavities or degraded material due to
excessive heating during the welding process, are within
the weld itself. Imperfections can lead to crack initiation
and crack growth within the weld and were simulated by
notching with razor blades. This can shorten the lifetime
of the weld significantly due to lower resistance against
crack growth of the welded material compared to the pipe
material. This decrease of resistance against SCG could be
explained by molecular orientation of polymer chains in
the welded area. In pipes polymer chains are most likely
oriented parallel to the direction of extrusion, possibly
acting as an improvement against crack growth. Polymer
chains in welds are oriented more arbitrary or even
perpendicular to the direction of extrusion due to the
welding process [17], thus decreasing the resistance
against crack growth.
Using the Dual-pressure procedure on small scale
pipes, crack growth resistance could be improved. Both,
impact and fatigue testing provided results where Dual-
pressure welds performed better than Single-pressure
welds.
An explanation to this phenomenon could be, that the
decrease in pressure during cooling, allows the polymer
chains to move more freely than under constant high
pressure. Hence they can abandon the positions
perpendicular to the extrusion line which are forced upon
them by the welding process and improve the crack
resistance of the weld.
Conclusions
Higher degrees of cristallinity due to welding can
benefit the mechanical properties of welds. As cracks tend
to grow according to the principle of least constraint, a
crack path around the weld more or less perpendicular to
the point of initiation seems plausible, when considering
stress state, higher stiffness of the weld and the concave
shape of the weld itself. Flaws in the actual weld however
can decrease the resistance against crack growth
significantly compared to the bulk material, therefore
posing a risk in regard to total service lifetime of pipe
systems.
The use of Dual-pressure procedures for small scale
pipe welding has proven to increase fatigue and short-
term impact behavior of pipe welds. Nevertheless the
comparison to the fatigue behavior of the normal pipe
material shows how critical imperfections in the pipe
weld, which act as crack initiation points, can be. Whether
the use of dual-pressure increases the overall risk of
imperfections such as voids etc. due to the decrease of
pressure has to be researched more thorough.
Acknowledgements
The research work of this paper was performed at the
Polymer Competence Center Leoben GmbH (PCCL,
Austria) within the framework of the COMET-Project
"Comprehensive lifetime assessment of pressurized PE
pipe systems by an accelerated fracture mechanics based
methodology" (Project Nr. IV-3.01) of the Austrian
Ministry of Traffic, Innovation and Technology with
contributions by the University of Leoben, AGRU
Kunststofftechnik GmbH (Austria), DOW Europe GmbH
and Österreichische Vereinigung für das Gas und
Wasserfach (Austria). The PCCL is funded by the
Austrian Government and the State Governments of Styria
and UpperAustria.
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... To properly describe the long term properties the fatigue tests using the CRB specimens directly lathed from the pipe wall were performed as documented in the paper [10]. The testing conditions (frequency of 10 , R-ratio of 0.1 and temperature of 23°) were applied. ...
... The testing conditions (frequency of 10 , R-ratio of 0.1 and temperature of 23°) were applied. It was found, that the pipe material itself shows significantly better resistance against the fatigue loading than the welded area itself [10]. The results of the CRB tests were confirmed by our own PENT tests using the same material. ...
The main aim of the paper is to study the influence of both material inhomogeneity and weld bead geometry on crack propagation in welded polyolefin pipes. Lifetime of three pipes welded by different welding procedures is numerically estimated. Experimentally observed shapes of weld bead and change of material properties inside the welded region (the change of Young's modulus) is implemented into the numerical model of welded pipes. Circumferential crack is of interest during the crack propagation through the pipe wall and the stress intensity factor is evaluated. It is shown that the deformation of welded region plays an important role whatever it is caused by, either the inhomogeneous distribution of Young's modulus or the amount of material in that region. The change of weld bead notch radius is not proved to be important for slow crack growth. It is shown that non-optimal welds can significantly decrease lifetime of pipe systems. The results of this research can be used for lifetime estimation and prediction of creep crack growth and further optimisation of welding conditions and butt weld technology.
... As the result of higher degree of crystallinity inside the welded joint both the resistance against the stable crack initiation (J 0.2 ) and stable crack propagation (T j ) are higher inside the welded joint rather than in the basic pipe material [14], as shown in Fig. 6. However, these short-term testing, which may be useful to differentiate between good and bad welds, does not necessarily describe the long-term properties of welds in actual applications [20]. Long-term properties of the welded pipes are in a better way described by PENT (Pennsylvania Notch Test) or CRB (Cracked Round Bar) tests. ...
... Comparison between the optimal weld and basic material is shown in Fig. 7. It can be seen, that the pipe material itself shows significantly better resistance against fatigue loading than the welded area [20]. ...
The main aim of the paper is to study the influence of both material inhomogeneity and weld bead geometry on crack propagation in welded polyolefin pipes. Axially and circumferentially oriented cracks are studied and the stress intensity factors are compared considering different positions of the cracks. Two cases of the welded pipe system are compared, one considering the optimal weld bead geometry and the other one considering the geometry after removing the weld bead once the welding process is finished. In both cases the inhomogeneous distribution of material properties inside the welded region is considered. The results show that the weld might have a negative effect on the lifetime especially when the weld bead is removed. Though the weld bead increases the stress concentration near the notches due to which a circumferential crack may appear the resulting lifetime is still comparable to that of an axial crack propagating in a homogeneous pipe.
... Schweißparameter; In Anlehnung an [13] Die CT-Prüfkörper aus dem Großrohr wurden gemäß Bild 5 entnommen. Zusätzlich wurden die CT-Prüfkörper mit Seitenkerben versehen, um einen überwiegend ebenen Dehnungszustand zu erzwingen. ...
... Aufgrund der hohen lokalen Behinderung wuchsen die Risse in diesem Fall innerhalb des geschweißten Materials. Dabei zeigte sich, dass dieses Material, aufgrund eventueller morphologischer Orientierung die durch den Schweißprozess hervorgerufen werden[13,15], einen geringeren Widerstand gegen langsames Risswachstum zu haben scheinen, als das Grundmaterial selbst. Bei Versuchen mittels CT-Prüfkörpern zeigte sich, dass die Risse trotz Seitenkerben aus der Schweißzone hinaus in das Grundmaterial wachsen. ...
... To test H-NBR, specimen geometry had to be changed according to Fig. 1. Frequency was chosen at 10 Hz for PE, PVC and POM according to findings or experience in literature (PE [15], POM [16], PVC [17]). For PP [7], PB, PA12 and H-NBR [13] testing frequency was reduced to 5 Hz to avoid excessive hysteretic heating. ...
Abstract The aim of this work is to demonstrate the applicability of the cracked round bar test recently developed for PE-HD to other polymeric materials. The main advantage of this new test method are rather short testing times for PE-HD materials used in long-term applications such as piping. Therefore, this test is of high interest for other polymers used in similar applications. Five thermoplastic materials used for plumbing (PE-HD, PP-B, PB, PVC-U, PA12), a technical polymer (POM) and an elastomeric material (H-NBR) have been tested. Scanning electron microscopy has been applied to investigate fracture surfaces. Results show that the test method seems to be basically applicable to all tested materials. Most materials showed similar fracture behaviour as postulated in literature, despite the high acceleration factor of the cyclic CRB test.
A three-dimensional model of a pressured polymer pipe with a weld is created in order to estimate the stress intensity factor for a crack located inside the weld. A comparison with values obtained for an edge-cracked tension specimen, usually employed for an experimental determination of weld properties, is performed. The difference between the stress intensity factor in a homogeneous pipe and the results taking into account the changes in material properties inside the weld is presented. A conservative and easily applicable relationship for calculating the stress intensity factor in a pipe weld is proposed. Keywordsfracture mechanics–polyolefin pipe–polymer weld–stress intensity factor–graded structure
Lifetime prediction of pressurized pipes made of polyethylene (PE) under complex loading situations is of special interest. Methods of linear elastic fracture mechanics (LEFM) are suitable to characterize the relevant long-term failure mechanisms in such pipes, which is slow crack growth. However, these methods require the knowledge of the creep crack growth (CCG) kinetics and material specific fracture mechanics parameters at application near tem-peratures. As testing of CCG with common test methods is not possible in feasible times, an accelerated extrapolation procedure based on fatigue tests with cracked round bar (CRB) specimens was developed previously. Within the present work this test procedure was used to characterize the CCG behavior of two commercial available PE pipe grades. Lifetime predictions of these materials are correlated to real failure times of internal pressure tests. Furthermore, failure times of more complex loading conditions with external soil load and external point load were predicted with fracture mechanics tools.
- N. Brown
- X. Lu
- Y. Huang
- N. Ishikawa
The effect of stress, notch depth, and temperature on slow crack growth are generally the same for all linear polyethylenes. The great difference in the rate of slow crack growth resides in the material parameters such as molecular weight distribution and branch density. Branch sequence and the placing of branches on the high molecular weight molecules make a contribution. The effects of varying the morphology by varying the thermal history are presented. The importance of the density of tie molecules is emphasized. The density of the tie molecules depends on the molecular weight and the spacing of the branches. Suggestions are made for producing a resin with a maximum resistance to slow crack growth.
- M. Fleissner
A laboratory method to measure the stress crack resistance of polyethylenes was developed and has since been applied in our laboratory for more than twelve years. The experience gathered since our first paper is herewith reported. The creep rupture test of circumferentially notched specimens cut from plaques or pipes has proven to be a rapid and reliable method to evaluate the stress crack performance. Surfactant-assisted stress cracking was employed to accelerate testing. The stress crack resistance of several polyethylene samples was studied with respect to its dependence on stress, temperature, and environment. The creep rupture behavior at different temperatures could be superposed by horizontal shifting when the stresses were normalized in proportion to the respective bulk yield stresses. The notch tip radius turned out not to be very crucial, and variation of the nominal concentration of the surfactants, nonylphenolpolyglycolethers, scarcely affected slow crack growth. Acceleration of testing by surfactants equalized property differences to a noticeable extent but did not influence the ranking of the materials. The activation energy of crack growth was in the expected range. Defects introduced into the line by butt joint welding were precisely modeled by the full notch creep test.
- R. W. Lang
- A. Stern
- G. Doerner
Engineering thermoplastics, in particular polyolefins such as special grades of poly(ethylene), are gaining importance in pipe applications such as gas and water supply systems. To ensure proper performance of such pipes over the required lifetime, polymer physics and mechanics concepts are needed to adequately account for the effects of time, temperature, and environmental conditions as well as the occurrence of pipe defects and imperfections on relevant polymer properties and pipe performance. This article provides a critical overview of the scientific background of current methodologies to describe the long-term behavior of thermoplastic pressure pipes. In particular, the merits and limitations of two different approaches-namely, the standard extrapolation method (SEM) described in ISO/TR 9080 and the linear elastic fracture mechanics (LEFM) approach-are compared. Special attention is given to effects associated with material ageing and degradation.
- Michael Bradley Barker
- J. Bowman
- M. Bevis
Three different pipe-grade polyethylenes, in the form of one large and three small diameter pipe systems, have been tested at elevated temperatures, using constant and fluctuating internal pressure loadings that resulted in brittle fractures. The behaviour under fatigue of two of the three types of small diameter polyethylene pipes was substantially described by a cumulative damage model, whilst the third exhibited a fatigue weakness, an observation not previously reported. The performance of the large diameter pipes under fatigue was dominated by the presence of large voids in the pipe wall that arose from incorrect processing and resulted in premature failure. The sites of crack initiation in one material grade of the small diameter systems were examined in detail. In particular the size, position and composition of particles initiating fracture were determined. The maximum particle size on the fracture surface of the pipe was found to correlate reasonably well with a measure of pipe lifetime, as predicted by a fracture mechanics approach, and indicated that the lifetime of this one type of polyethylene pipe was dependent on the size of the inclusions initiating fracture.
- M. Parsons
- E. V. Stepanov
- A. Hiltner
- E. Baer
The relationship between slow crack propagation in creep and fatigue in a medium density polyethylene pipe material was studied by increasing the R-ratio (defined as the ratio of minimum to maximum stress in the fatigue loading cycle) from 0.1 to 1.0 (creep). The study included characterization of the effects of R-ratio and temperature (21 to 80C) on the mechanism and kinetics of slow crack propagation. With increasing R-ratio and decreasing temperature, the fracture mode changed from stepwise crack propagation, i.e. crack growth by the sequential formation and breakdown of a craze zone, to a quasi-continuous mode of crack growth through the preexisting craze. Despite the change in fracture mode, the damage zone, as characterized by the length of the main craze, shear crazes, and crack tip opening displacement, followed the same dependence on loading parameters, and crack growth rate followed the same kinetics. Crack growth rate (da/dt) was related to the maximum stress intensity factor KI, max and R-ratio by a power law relationship (da/dt) = BK4 I, max(1 + R)–6. Alternatively, crack growth rate was expressed as (da/dt) = BK I 4 (t)T() with a creep contribution B‹K I 4 (t)›T, calculated by averaging the known dependence of creep crack growth rate on stress intensity factor KI over the period T of the sinusoidal loading curve, and a fatigue acceleration factor () that depended on strain rate only. The correlation in crack growth kinetics allowed for extrapolation to creep fracture from short-term fatigue testing. The temperature dependence of crack growth rate was contained in the prefactors B and B. A change in slope of the Arrhenius plot of B at 55C indicated that at least two mechanisms contributed to crack propagation, each dominating in a different temperature region. This implied that a simple extrapolation to ambient temperature creep fracture from elevated temperature tests might not be reliable.
Source: https://www.researchgate.net/publication/264232779_Impact_of_single_and_dual_pressure_butt-welding_procedures_on_the_reliability_of_PE_100_pipe_welds
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