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The International Journal Of Engineering And Science (IJES)
|| Volume || 4 || Issue || 4 || Pages || PP.55-60|| 2015 ||
ISSN (e): 2319 – 1813 ISSN (p): 2319 – 1805
www.theijes.com The IJES Page 55
Comparative study of the mechanical behavior of polymer
materials: between ABS and PVC
G.Arid 1
I.Makadir 1,
A. Naji 1
M.Chergui1, M.Elghorba 1
1.
Controls and Characterization Laboratory Mechanics Of Materials And Structures Of, National School of
Electrical And Mechanical, Road to El Jadida. BP 8118 Oasis Casablanca, Morocco
-------------------------------------------------------------ABSTRACT-------------------------------------------------------
Plastic materials play a large part in our daily lives because of their ease of installation and production costs
relatively low. Thus The accelerated technological development that we live brings more and more mechanical
engineers to face the problems damage of materials. However, these problems are even more serious than
fatigue cracking often leads to a sudden break often cause accidents. This unfortunately happens all too
frequently, due to insufficient knowledge either room service conditions or even damage parameters. This work
presents new developments in the field of fracture mechanics and the objective is the evaluation of defects and
thus a better estimate of the reliability of the polymeric material structures by comparing two plastics (ABS and
PVC).
KEYWORDS : Tension, polymer , damage, PVC, ABS
---------------------------------------------------------------------------------------------------------------------------------------
Date of Submission: 10-March-2015 Date of Accepted: 30-April-2015
---------------------------------------------------------------------------------------------------------------------------------------
I. INTRODUCTION
The development of polymers has hardly ceased to grow and make more and more accentuated growth
in our life. Leave high performance to large industries are industries diffusi, polymers are omnipresent in all
aspects of our lives. Where is the pressing need to know more rigorously their properties, characteristics, and
behaviors[1]. The present work is a contribution to the study of polymers used in plastics (ABS and PVC) in
order to better understand the various parameters the acting [2] in the behavior of these materials and provide
solutions to common problems encountered during the formatting or use by comparing these two plastics.
I.1 Industrial comparison between ABS and PVC
The ABS and PVC are used in the pipes, because they are non-toxic and resistant to abrasion.
The ABS pipes are easier to install compared to PVC pipes, but also more susceptible to deformation when
exposed to sunlight. SBS stands for acrylonitrile butadiene styrene and PVC means polyvinyl chloride.
Table 1 : The properties of rigid PVC and ABS materials
Name
Acrylonitrile Butadiene Styrene Polyvinylchloride
Uses
Pipes, instruments, canoes,
luggage, appliances, toys
Pipes, cable insulation, clothing,
toys
Molecular formula
(C8H8 C4H6 · · C3H3N) No (C2H3Cl) No
Properties
Strong, rigid, low cost. Flexible but durable. low cost
The PVC and ABS pipes are resistant to most acids, bases and salts. However, they are not resistant
to aromatic and chlorinated hydrocarbons. Both lines can be used above or below ground, but the ABS is more
likely to deform when exposed to sunlight. For this reason, some local regulations require ABS pipes contain
pigments to protect it from UV rays or be painted with latex paint . PVC is generally softer and more flexible
by the addition of plasticizers. The pipes ABS are easier to install than PVC pipes like PVC pipes[3] need a
purple primer before each joint is glued, and seals must then be held together for 5-1 0 seconds for the glue
grabs.
Comparative study of the mechanical…
www.theijes.com The IJES Page 56
I.2 use in structures
ABS is used in drain-waste-vent piping systems and sewers. It is also used
as electrical insulation. PVC is also used to make tubes for systems such as wind-drain waste and for the
insulation of electrical cables [4]. ABS is very high impact resistant. PVC is less resistant, it is designed to be
flexible and softer than conventional plastics. However, the two plastics are resistant to chemical degradation
and water.
II. THEORETICAL STUDY
II. 1 DAMAGE
All theoretical models of damage require confrontation with results from experiments, hence the need
for a standardized formulation of the damage. In the literature of the damage, several authors whose Bui Quoc
proposed a model of the normalized damage [5] based on the variation of the residual ultimate strength between
its virgin state and critical.
II.2 Residual ultimate strength
The model of static damage is to determine the change in force which changes are due to damage. For
different values of lengths of taps i, measures the residual ultimate forces Fur were performed on samples rigid
PVC and ABS. Are generally defined residual forces as the internal forces remaining in the mechanical
parts when these are not subject to any external force[6]. for plastic materials such as rigid PVC and ABS,
residual efforts are mainly related to the constraints of growth and are induced by the manufacturing processes
of the raw material to the finished product, and will influence the fatigue behavior and rupture. The role of these
residual forces is fundamental to design a room mechanical due to our material. In recent years, studies have
multiplied to understand their effects on the mechanical performance [7].
II. 1. 2. Damage calculation
The model of static damage is to determine the change in force which changes are mainly due to
damage[8]. Then quantitated the damage by the variable D expressed by :
Fu : The value of the ultimate strength to the undamaged original state
Fur : The value of the ultimate strength for different lengths of cracks
Fa : Force before failure
The ratio Fur/ Fu decreases when the cut length increases, it follows an exponential variation
according to the equation (2) :
A and B are constants to be determined,
During the test, following the damage phenomenon between the blank state and the complete failure of the
specimen by measuring the residual ultimate strength, this phenomenon is described by the parameter D.
We have:
- ai/w = 0 → Fur = Fu → D=0
- ai/w = 1 → Fur = Fa → D = 1
In terms of constraint expression (1) becomes
wit
σu : The ultimate stress in undamaged original state
σur : The ultimate stress for different lengths of cracks
σur * : Strain before failure
III. EXPERIMENTAL PROTOCOL
III. 1 Test tube and test device :
Fur/Fu =A*eB(a/w)
Eq (1)
Eq (2)
Eq (3)
Comparative study of the mechanical…
www.theijes.com The IJES Page 57
We take a dumbbell configuration goal is to determine the mechanical properties of ABS materials
studied and rigid PVC.
Figure 1: the standardized dimensions of test s s used traction in sound condition (a) and notched B) PVC
Rigid c) ABS
All tensile tests for the type of specimen (a), were carried out quickly sse constant strain. The test
consists of subjecting the specimen to a tensile force until fracture to determine the following mechanical
properties:
 Tensile elastic limit:  e
 Rupture strength :  R
 Maximum resistance or tension :  M, maximum stress measured on the traction curve.
 Deformation tensile elastic limit : E 
 Strain to failure in tension : R 
 Deformation corresponding to the maximum resistance  M :  M
 Tensile modulus, Young's modulus E (MPA) [MASSA, 1995].
To highlight the influence of the notch on the behavior of specimens ABS, a series of tests was carried
out on the characterization of damage on two rectangular sample groups of ABS in the base of ASTM 882 -02
[15] and ASTM D 766m [16]. the first test is to smooth rectangular specimens (without defects) for the
mechanical characterization, and the second is on rectangular test specimens with notches double length of 1mm
to 7mm. All the experimental tests were carried out under a controlled displacement and the following figure
shows the implementation of the tensile test. For PVC material, the specimens used are free weights and flat test
pieces they consist mainly of polyvinyl chloride (PVC rigid) .They come from the same casting. The specimens
were collected in rectangular shape from rigid PVC pipes in the sense longitudinal. We adopt a configuration
SENT (Single Edge Notched Tension) with notches of different lengths as 0.2 ≤ a/w ≤0.6, such that the notch
has a length and W is the width of the specimen.
IV. RESULTS
After to be treated curves are engineering produced by the traction machine, and after the statistical
analysis of the results, we can draw the following average curve :
Figure 2 : courbe de la contrainte-déformation pour l’ABS
0
10
20
30
40
0 1 2 3 4 5
Contrainte(Mpa)
Déformation (%)
Comparative study of the mechanical…
www.theijes.com The IJES Page 58
Figure 3 : courbe de la contrainte-déformation pour le PVC
The results of the tensile tests reported in FIG show the evolution of the stress-strain curve up to failure
for the two polymers (ABS and PVC), the reproducibility of the test was as good a result of various tests made,
and allows the detection of the typical behavior of a large deformation polymers ; the early trials, although
there is proportionality between the applied force and elongation, this is the area of the elastic deformation, this
quasi-linear region allows us to obtain the Young's modulus and the determination of the elastic limit and the
following table gives the various values obtained from the tensile curves.
Table 2 : The mechanical properties of rigid PVC and ABS materials
Mechanical properties ABS PVC
E modulus (GPa) 2 2.72
Ultimate stress (MPa) 34 50
Elastic constraint
(0.2%) (MPa)
30 44
The value of 34 MPa (ABS) and 50MPa (PVC) has a limit value of the stress beyond which more
linear proportionality was observed between the applied force and the elongation, the material begins to
plastically deform a permanently ; is the intrinsic softening zone corresponding to the start of the non-linear
distortion (This softening the plastic flow threshold is mainly due to the change of the microscopic structure of
the material), this deformation is continued with an increase in stress to a final value, after which it drops to
where it stabilizes and remains constant with increasing elongation, the plastic deformation is localized on a
white line at the center of the sample in a region which is called curing zone.
Figure 4 : Evolution of the stress-strain curve for both ABS and PVC materials in two different cuts (2mm and
6mm)
The degradation of the mechanical properties always proves remarkable ; the elastic stress, ultimate
stress, the tensile strength and the elongation take increasingly decreasing values with increasing the diameter of
the hole, there is no longer a constraint stabilization zone, or a high elongation, the rupture often precedes a
local plasticizing and a sharp break afterwards. The evaluation of the experimental damage based on the loss of
material resistance [BUI, 1986], leads to discriminate the residual tensile mechanical characteristics according
to their ability to relate the damage caused by the impact. Indeed, the experimental damage Bui Quoc [BUI,
1986] is based on a residual mechanical characteristic reflecting the strength loss or degradation of the material.
0
20
40
60
0 20 40 60 80 100 120 140
contrainteσen
MPa Déformation ε en %
0
5
10
15
20
25
30
0 0.5 1 1.5 2 2.5 3 3.5
contrainteσenMPa
Déformation ε en %
ABS(2m
m)
ABS(6m
m)
Comparative study of the mechanical…
www.theijes.com The IJES Page 59
Figure 5 : Evolution of the damage and reliability based on the fraction of life for ABS
Figure 6 : Evolution of the damage and reliability based on the fraction of life for PVC
Table 3: Summary of the different stages of the damage for both ABS and PVC materials
ABS PVC
Stage I  β I (0, 0.2)
 D I (0, 0.5)
 β I (0, 0.2)
 I D (0, 0.34)
Stage II  β II (0.2,
0.86)
 D II (0.5,
0.94)
 β II (0.2;
0.8)
 D II (0.34;
0.9)
Stage III  β III (0.86:
1)
 D III (0.94:
1)
 β III (0.8, 1)
 D III (0.9, 1)
It is very interesting to be able to correlate the damage process and the three stages described above in
the summary table .In observing the damage curves in figure for us to identify the following features for ABS
- When initiating LPs ofissures, the end of Ι stadium or the fraction of life β = 0% for D = 0 and β = 20% D =
0.5, damage is almost linear
- N the slow propagation area, the Π stage which is within the range of β = [20%, 86%] D = [0.5, 0.94], the
endommagem ent increases in a progressive manner .
- A t the time of the sudden spread (stage Ш), the fraction of life β> 86% D = 0.94, the damage accelerates very
marked way.
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
DommageD-fiabilitéR
fraction de vie β
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
DommageD-FiabilitéR
fraction de vie β
Comparative study of the mechanical…
www.theijes.com The IJES Page 60
The same reasoning applies to the curves in figure for PVC .In fact, no notice us :
- Stade I : Corresponding to a value of β = 20% for D = 0.34, an increase of the damage is remarkable
- Stade II : Is between 20% and β = β = 80% damage values for D = 0.34 and D = 0.9, and the damage in this
area is changing rapidly
- Stade III : The damage increases to a critical value followed by the rupture of the specimen.
It is clear that the different phases appear similar to the propagation of a crack, wherein the step 1, Phase 2 and
Phase 3 correspond to the initiation, propagation and fracture of the crack. The only difference is that priming of
a crack corresponds on average to 60% of the damage [Ghorba 1990], whereas here the Phase 1 occupies 20%
of the damage.
V. CONCLUSION
The aim of our work is to better understand the mechanical behavior of different polymers used in
industry (ABS and PVC) and know the acting parameters on the behavior of these materials to provide solutions
to common problems encountered during the implementation form or use.
Uniaxial tensile technique was used given the simplicity of its coming into realization, and the
reliability of its results ; the values for the Young's modulus are E = 2 GPa for ABS and E = 2.7 GPa for
PVC, the ultimate stress value of : U σ = 34MPa for ABS and σ u = 50MPa for PVC. As for damage testing,
defect geometry the influence was studied. Tensile tests at break on standard specimens with different cuts for
each of the two materials.
REFERENCES
[1] pomey, G, les différents domaines de la fatigue des métaux et les paramètres de l’endurance des Pièces, 15 colloque de
métallurgie spéciale, juin 1972, pp 26-75.
[2] Bui-Quoc, T, cumule du dommage en fatigue; dans la fatigue des matériaux et des structures, maloine; paris 1980, 313-342.
[3] Dubuc; j.Bui-Quoc, T., Biron, A, Barzegui, A.,Unified theory of cumulative damage in metal Fatigue , Welding Research
council, DURC Bulletin 162, Juin 1971, pp.1-20.
[4] M.A. MINER, « cumulative damage in fatigue », Journal of applied mechanics, 1945
[5] H. PROCACCIA, « fiabilité des structures des installations industrielles ».
[6] W.WEIBULL, « A statistical representation of fatigue failure in solids », Trans. Royal Institute of Techno. Stockholm, Sweden,
N° 27, 50p.
[7] N.Thomson, N.J.Wadjwer, N.louat.-phil.Mag.,1,113,1956.
[8] w.A.wood-phil.Mag.,3,692.1958,p412.

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Comparative study of the mechanical behavior of polymer materials: between ABS and PVC

  • 1. The International Journal Of Engineering And Science (IJES) || Volume || 4 || Issue || 4 || Pages || PP.55-60|| 2015 || ISSN (e): 2319 – 1813 ISSN (p): 2319 – 1805 www.theijes.com The IJES Page 55 Comparative study of the mechanical behavior of polymer materials: between ABS and PVC G.Arid 1 I.Makadir 1, A. Naji 1 M.Chergui1, M.Elghorba 1 1. Controls and Characterization Laboratory Mechanics Of Materials And Structures Of, National School of Electrical And Mechanical, Road to El Jadida. BP 8118 Oasis Casablanca, Morocco -------------------------------------------------------------ABSTRACT------------------------------------------------------- Plastic materials play a large part in our daily lives because of their ease of installation and production costs relatively low. Thus The accelerated technological development that we live brings more and more mechanical engineers to face the problems damage of materials. However, these problems are even more serious than fatigue cracking often leads to a sudden break often cause accidents. This unfortunately happens all too frequently, due to insufficient knowledge either room service conditions or even damage parameters. This work presents new developments in the field of fracture mechanics and the objective is the evaluation of defects and thus a better estimate of the reliability of the polymeric material structures by comparing two plastics (ABS and PVC). KEYWORDS : Tension, polymer , damage, PVC, ABS --------------------------------------------------------------------------------------------------------------------------------------- Date of Submission: 10-March-2015 Date of Accepted: 30-April-2015 --------------------------------------------------------------------------------------------------------------------------------------- I. INTRODUCTION The development of polymers has hardly ceased to grow and make more and more accentuated growth in our life. Leave high performance to large industries are industries diffusi, polymers are omnipresent in all aspects of our lives. Where is the pressing need to know more rigorously their properties, characteristics, and behaviors[1]. The present work is a contribution to the study of polymers used in plastics (ABS and PVC) in order to better understand the various parameters the acting [2] in the behavior of these materials and provide solutions to common problems encountered during the formatting or use by comparing these two plastics. I.1 Industrial comparison between ABS and PVC The ABS and PVC are used in the pipes, because they are non-toxic and resistant to abrasion. The ABS pipes are easier to install compared to PVC pipes, but also more susceptible to deformation when exposed to sunlight. SBS stands for acrylonitrile butadiene styrene and PVC means polyvinyl chloride. Table 1 : The properties of rigid PVC and ABS materials Name Acrylonitrile Butadiene Styrene Polyvinylchloride Uses Pipes, instruments, canoes, luggage, appliances, toys Pipes, cable insulation, clothing, toys Molecular formula (C8H8 C4H6 · · C3H3N) No (C2H3Cl) No Properties Strong, rigid, low cost. Flexible but durable. low cost The PVC and ABS pipes are resistant to most acids, bases and salts. However, they are not resistant to aromatic and chlorinated hydrocarbons. Both lines can be used above or below ground, but the ABS is more likely to deform when exposed to sunlight. For this reason, some local regulations require ABS pipes contain pigments to protect it from UV rays or be painted with latex paint . PVC is generally softer and more flexible by the addition of plasticizers. The pipes ABS are easier to install than PVC pipes like PVC pipes[3] need a purple primer before each joint is glued, and seals must then be held together for 5-1 0 seconds for the glue grabs.
  • 2. Comparative study of the mechanical… www.theijes.com The IJES Page 56 I.2 use in structures ABS is used in drain-waste-vent piping systems and sewers. It is also used as electrical insulation. PVC is also used to make tubes for systems such as wind-drain waste and for the insulation of electrical cables [4]. ABS is very high impact resistant. PVC is less resistant, it is designed to be flexible and softer than conventional plastics. However, the two plastics are resistant to chemical degradation and water. II. THEORETICAL STUDY II. 1 DAMAGE All theoretical models of damage require confrontation with results from experiments, hence the need for a standardized formulation of the damage. In the literature of the damage, several authors whose Bui Quoc proposed a model of the normalized damage [5] based on the variation of the residual ultimate strength between its virgin state and critical. II.2 Residual ultimate strength The model of static damage is to determine the change in force which changes are due to damage. For different values of lengths of taps i, measures the residual ultimate forces Fur were performed on samples rigid PVC and ABS. Are generally defined residual forces as the internal forces remaining in the mechanical parts when these are not subject to any external force[6]. for plastic materials such as rigid PVC and ABS, residual efforts are mainly related to the constraints of growth and are induced by the manufacturing processes of the raw material to the finished product, and will influence the fatigue behavior and rupture. The role of these residual forces is fundamental to design a room mechanical due to our material. In recent years, studies have multiplied to understand their effects on the mechanical performance [7]. II. 1. 2. Damage calculation The model of static damage is to determine the change in force which changes are mainly due to damage[8]. Then quantitated the damage by the variable D expressed by : Fu : The value of the ultimate strength to the undamaged original state Fur : The value of the ultimate strength for different lengths of cracks Fa : Force before failure The ratio Fur/ Fu decreases when the cut length increases, it follows an exponential variation according to the equation (2) : A and B are constants to be determined, During the test, following the damage phenomenon between the blank state and the complete failure of the specimen by measuring the residual ultimate strength, this phenomenon is described by the parameter D. We have: - ai/w = 0 → Fur = Fu → D=0 - ai/w = 1 → Fur = Fa → D = 1 In terms of constraint expression (1) becomes wit σu : The ultimate stress in undamaged original state σur : The ultimate stress for different lengths of cracks σur * : Strain before failure III. EXPERIMENTAL PROTOCOL III. 1 Test tube and test device : Fur/Fu =A*eB(a/w) Eq (1) Eq (2) Eq (3)
  • 3. Comparative study of the mechanical… www.theijes.com The IJES Page 57 We take a dumbbell configuration goal is to determine the mechanical properties of ABS materials studied and rigid PVC. Figure 1: the standardized dimensions of test s s used traction in sound condition (a) and notched B) PVC Rigid c) ABS All tensile tests for the type of specimen (a), were carried out quickly sse constant strain. The test consists of subjecting the specimen to a tensile force until fracture to determine the following mechanical properties:  Tensile elastic limit:  e  Rupture strength :  R  Maximum resistance or tension :  M, maximum stress measured on the traction curve.  Deformation tensile elastic limit : E   Strain to failure in tension : R   Deformation corresponding to the maximum resistance  M :  M  Tensile modulus, Young's modulus E (MPA) [MASSA, 1995]. To highlight the influence of the notch on the behavior of specimens ABS, a series of tests was carried out on the characterization of damage on two rectangular sample groups of ABS in the base of ASTM 882 -02 [15] and ASTM D 766m [16]. the first test is to smooth rectangular specimens (without defects) for the mechanical characterization, and the second is on rectangular test specimens with notches double length of 1mm to 7mm. All the experimental tests were carried out under a controlled displacement and the following figure shows the implementation of the tensile test. For PVC material, the specimens used are free weights and flat test pieces they consist mainly of polyvinyl chloride (PVC rigid) .They come from the same casting. The specimens were collected in rectangular shape from rigid PVC pipes in the sense longitudinal. We adopt a configuration SENT (Single Edge Notched Tension) with notches of different lengths as 0.2 ≤ a/w ≤0.6, such that the notch has a length and W is the width of the specimen. IV. RESULTS After to be treated curves are engineering produced by the traction machine, and after the statistical analysis of the results, we can draw the following average curve : Figure 2 : courbe de la contrainte-déformation pour l’ABS 0 10 20 30 40 0 1 2 3 4 5 Contrainte(Mpa) Déformation (%)
  • 4. Comparative study of the mechanical… www.theijes.com The IJES Page 58 Figure 3 : courbe de la contrainte-déformation pour le PVC The results of the tensile tests reported in FIG show the evolution of the stress-strain curve up to failure for the two polymers (ABS and PVC), the reproducibility of the test was as good a result of various tests made, and allows the detection of the typical behavior of a large deformation polymers ; the early trials, although there is proportionality between the applied force and elongation, this is the area of the elastic deformation, this quasi-linear region allows us to obtain the Young's modulus and the determination of the elastic limit and the following table gives the various values obtained from the tensile curves. Table 2 : The mechanical properties of rigid PVC and ABS materials Mechanical properties ABS PVC E modulus (GPa) 2 2.72 Ultimate stress (MPa) 34 50 Elastic constraint (0.2%) (MPa) 30 44 The value of 34 MPa (ABS) and 50MPa (PVC) has a limit value of the stress beyond which more linear proportionality was observed between the applied force and the elongation, the material begins to plastically deform a permanently ; is the intrinsic softening zone corresponding to the start of the non-linear distortion (This softening the plastic flow threshold is mainly due to the change of the microscopic structure of the material), this deformation is continued with an increase in stress to a final value, after which it drops to where it stabilizes and remains constant with increasing elongation, the plastic deformation is localized on a white line at the center of the sample in a region which is called curing zone. Figure 4 : Evolution of the stress-strain curve for both ABS and PVC materials in two different cuts (2mm and 6mm) The degradation of the mechanical properties always proves remarkable ; the elastic stress, ultimate stress, the tensile strength and the elongation take increasingly decreasing values with increasing the diameter of the hole, there is no longer a constraint stabilization zone, or a high elongation, the rupture often precedes a local plasticizing and a sharp break afterwards. The evaluation of the experimental damage based on the loss of material resistance [BUI, 1986], leads to discriminate the residual tensile mechanical characteristics according to their ability to relate the damage caused by the impact. Indeed, the experimental damage Bui Quoc [BUI, 1986] is based on a residual mechanical characteristic reflecting the strength loss or degradation of the material. 0 20 40 60 0 20 40 60 80 100 120 140 contrainteσen MPa Déformation ε en % 0 5 10 15 20 25 30 0 0.5 1 1.5 2 2.5 3 3.5 contrainteσenMPa Déformation ε en % ABS(2m m) ABS(6m m)
  • 5. Comparative study of the mechanical… www.theijes.com The IJES Page 59 Figure 5 : Evolution of the damage and reliability based on the fraction of life for ABS Figure 6 : Evolution of the damage and reliability based on the fraction of life for PVC Table 3: Summary of the different stages of the damage for both ABS and PVC materials ABS PVC Stage I  β I (0, 0.2)  D I (0, 0.5)  β I (0, 0.2)  I D (0, 0.34) Stage II  β II (0.2, 0.86)  D II (0.5, 0.94)  β II (0.2; 0.8)  D II (0.34; 0.9) Stage III  β III (0.86: 1)  D III (0.94: 1)  β III (0.8, 1)  D III (0.9, 1) It is very interesting to be able to correlate the damage process and the three stages described above in the summary table .In observing the damage curves in figure for us to identify the following features for ABS - When initiating LPs ofissures, the end of Ι stadium or the fraction of life β = 0% for D = 0 and β = 20% D = 0.5, damage is almost linear - N the slow propagation area, the Π stage which is within the range of β = [20%, 86%] D = [0.5, 0.94], the endommagem ent increases in a progressive manner . - A t the time of the sudden spread (stage Ш), the fraction of life β> 86% D = 0.94, the damage accelerates very marked way. 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 DommageD-fiabilitéR fraction de vie β 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 DommageD-FiabilitéR fraction de vie β
  • 6. Comparative study of the mechanical… www.theijes.com The IJES Page 60 The same reasoning applies to the curves in figure for PVC .In fact, no notice us : - Stade I : Corresponding to a value of β = 20% for D = 0.34, an increase of the damage is remarkable - Stade II : Is between 20% and β = β = 80% damage values for D = 0.34 and D = 0.9, and the damage in this area is changing rapidly - Stade III : The damage increases to a critical value followed by the rupture of the specimen. It is clear that the different phases appear similar to the propagation of a crack, wherein the step 1, Phase 2 and Phase 3 correspond to the initiation, propagation and fracture of the crack. The only difference is that priming of a crack corresponds on average to 60% of the damage [Ghorba 1990], whereas here the Phase 1 occupies 20% of the damage. V. CONCLUSION The aim of our work is to better understand the mechanical behavior of different polymers used in industry (ABS and PVC) and know the acting parameters on the behavior of these materials to provide solutions to common problems encountered during the implementation form or use. Uniaxial tensile technique was used given the simplicity of its coming into realization, and the reliability of its results ; the values for the Young's modulus are E = 2 GPa for ABS and E = 2.7 GPa for PVC, the ultimate stress value of : U σ = 34MPa for ABS and σ u = 50MPa for PVC. As for damage testing, defect geometry the influence was studied. Tensile tests at break on standard specimens with different cuts for each of the two materials. REFERENCES [1] pomey, G, les différents domaines de la fatigue des métaux et les paramètres de l’endurance des Pièces, 15 colloque de métallurgie spéciale, juin 1972, pp 26-75. [2] Bui-Quoc, T, cumule du dommage en fatigue; dans la fatigue des matériaux et des structures, maloine; paris 1980, 313-342. [3] Dubuc; j.Bui-Quoc, T., Biron, A, Barzegui, A.,Unified theory of cumulative damage in metal Fatigue , Welding Research council, DURC Bulletin 162, Juin 1971, pp.1-20. [4] M.A. MINER, « cumulative damage in fatigue », Journal of applied mechanics, 1945 [5] H. PROCACCIA, « fiabilité des structures des installations industrielles ». [6] W.WEIBULL, « A statistical representation of fatigue failure in solids », Trans. Royal Institute of Techno. Stockholm, Sweden, N° 27, 50p. [7] N.Thomson, N.J.Wadjwer, N.louat.-phil.Mag.,1,113,1956. [8] w.A.wood-phil.Mag.,3,692.1958,p412.