Impact Behavior and Fracture Energy of Polymers

 
 
3
rd
 
Y
e
ar
 
P
ol
y
mers
 
Assist. Lecturer. 
Abbas
 
Albawee.
 
University 
of Diyala.
College of
 
Engineering.
Department 
of 
Materials
 
Eng.
 
L
ec
tur
e
:
 
17.
 
(2
0
18/
2
019)
 
Impact Behavior of
 
Polymers
Impact
 
Fracture
A
 
good
 
polymer
 
is
 
generally
 
defined
 
as
 
one
 
capable
 
of
absorbing a large amount of energy before failure. Poly  carbonates
have one of the 
highest 
impact resistance values.  However,
amorphous polymers exhibit brittle behaviour under  impact,
especially if the component is notched or is too thick  relative to a
corner radius. The occurrence of brittle failure can be  decreased
by: increasing the molecular weight, inclusion 
of  
rubber phase,
inducing orientation in the 
polymer 
and reducing  internal defects
and
 
contaminants.
 
 
Measuring impact strength
Conventional  Izod  tests  are  used  to   
measure
 
the  
 
energy
req
u
ired
 
to
 
break
 
a
 
notched
 
s
p
ec
i
m
e
n,
 
however,
 
t
his
 
is
 
n
ot
considered as a 
satisfactory 
test.  Major limitation being 
 
that  
most
polymers as notch sensitive and fail readily under izod
 
test.
 
 
Creep
 
Failure
Taking 
 
into 
 
account 
 
the 
 
viscoelastic 
 
path 
 
at 
 
small 
 
strain
based on thermally activated rate 
processes. 
When strain attains
higher values, high enough 
to 
lead 
to 
failure, its slope versus 
time
exhibits an abrupt change. At this 
specific 
time the creep function
appears
 
a
 
minimum.
 
In
 
most
 
cases
 
DMTA
 
(Dynamic
 
mechanical
 
1/ from
 
4
 
 
thermal analysis) can be used to determine the viscoelastic
behavior of samples as a function of time. A classic case is when
the rubber hose ruptures due to creep after 
many 
years of service.
DMTA can be used for 
o-rings 
and 
gaskets to 
measure 
the creep
rates.
 
 
Blends
Blended
 
materials
 
can
 
have
 
an
 
increased
 
fracture
 
toughness
with balanced 
stiffness 
and strength. Usually these are formed
ftom 
copolymerization or modification with a suitable elastomer.
However, the mechanical properties of blends, especially the
modulus, 
 
follow 
 
the 
 
‘rule 
 
of 
 
mixture’ 
 
Voigt 
 
model 
 
and 
 
the
morphologies show coarsed
 
dispersion.
 
 
Fracture
 
Energy
One  technique  commonly  utilized  
to  
measure  the 
 
critical
fracture energy during fracture of 
rubber-like 
materials is a
trouser-tear test. This 
method 
got its 
name 
becarrse 
the 
specimen
for 
these tests consists 
of 
a rectangular sheet cut along its long
axis to 
form 
a 
trouser-shaped 
sample (Figure 1). The ‘legs’ of 
the
trouser specimen are then pulled in opposite directions to create
tearing action. Determination of critical fracture energy 
from  
other
test methods requires accurate determination of crack  length,
whereas   the
 
critical  energy   release   and   rate
 
of
 
crack
 
2/ from
 
4
 
 
propagation 
during 
a trouser-tear 
test 
are independent of crack
length and 
sample
 
geometry.
 
The critical fracture energy 
from 
a tear test is also known as
tearing energy, which is 
the 
energy spent per unit thickness per
unit increase in crack length. Tearing energy includes surface
energy, energy dissipated in plastic flow processes, and energy
dissipated irreversibly in viscoelastic processes. The advantage of
using the trouser-tear test lies in the assumption that all of these
changes in energy are proportional to crack length and is  primarily
affected by the deformation in the vicinity of the 
crack-  
tip.
Hence, the total energy is independent 
of 
the 
shape 
of the test
specimen and the way the forces are applied. In other words,
although 
the 
stress distribution at the tip 
of 
a 
tear 
crack is
complex, it is independent of the crack
 
length.
 
3/ from
 
4
 
 
In mathematical terms, the work 
done 
during a tear test can be
given by:
 
where F is the tearing force and Ac is the tear distance [3]. It
is important to note that the changes in extension 
of 
the material
between the tip of the tear and the 
legs 
are negligible and were
ignored in this
 
equation.
 
 
The tearing energy, or critical fracture energy, can be
 
written
as:
 
where
 
B
 
is
 
the
 
thickness
 
o
f
 
t
he
 
s
p
ec
i
m
en.
 
Hence,
 
b
y
combining Equations 1 and
 
2:
 
It can be confirmed 
from 
Equation 3 that the critical tearing
energy is independent 
of the 
initial 
sample 
geometry and 
crack
length. The critical tearing energy 
could 
have also been calculated
using Equation 2, although 
more 
complicated crack
 
length
 
4/ from
 
4
 
 
measurement before and after the 
tear 
test is needed to achieve
good results.
 
5/ from
 
4
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Polymers with high impact resistance are sought after for their ability to absorb energy before failure. Factors affecting impact behavior, such as molecular weight and orientation, are discussed. Methods for measuring impact strength and creep failure are explored, along with the advantages of blended materials. The critical fracture energy during fractures of rubber-like materials is examined using a trouser-tear test, providing insights into energy dissipation and deformation processes in polymers.

  • Polymers
  • Impact Behavior
  • Fracture Energy
  • Measurement Methods
  • Blended Materials

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  1. 3rdYear Assist. Lecturer. AbbasAlbawee. Lecture: 17. (2018/2019) Polymers University of Diyala. College of Engineering. Department of Materials Eng. Impact Behavior of Polymers Impact Fracture A good polymer is generally defined as one capable of absorbing a large amount of energy before failure. Poly carbonates have one of the highest impact resistance values. However, amorphous polymers exhibit brittle behaviour under impact, especially if the component is notched or is too thick relative to a corner radius. The occurrence of brittle failure can be decreased by: increasing the molecular weight, inclusion of rubber phase, inducing orientation in the polymer and reducing internal defects and contaminants. Measuring impact strength Conventional Izod tests are used to measure the energy required to break a notched specimen, however, this is not considered as a satisfactory test. Major limitation being that most polymers as notch sensitive and fail readily under izod test. Creep Failure Taking into account the viscoelastic path at small strain based on thermally activated rate processes. When strain attains higher values, high enough to lead to failure, its slope versus time exhibits an abrupt change. At this specific time the creep function appears a minimum. In most cases DMTA (Dynamic mechanical 1/ from4

  2. thermal analysis) can be used to determine the viscoelastic behavior of samples as a function of time. A classic case is when the rubber hose ruptures due to creep after many years of service. DMTA can be used for o-rings and gaskets to measure the creep rates. Blends Blended materials can have an increased fracture toughness with balanced stiffness and strength. Usually these are formed ftom copolymerization or modification with a suitable elastomer. However, the mechanical properties of blends, especially the modulus, follow the rule of mixture Voigt model and the morphologies show coarsed dispersion. Fracture Energy One technique commonly utilized to measure the critical fracture energy during fracture of rubber-like materials is a trouser-tear test. This method got its name becarrse the specimen for these tests consists of a rectangular sheet cut along its long axis to form a trouser-shaped sample (Figure 1). The legs of the trouser specimen are then pulled in opposite directions to create tearing action. Determination of critical fracture energy from other test methods requires accurate determination of crack length, whereas the critical energy release and rate of crack 2/ from4

  3. propagation during a trouser-tear test are independent of crack length and sample geometry. The critical fracture energy from a tear test is also known as tearing energy, which is the energy spent per unit thickness per unit increase in crack length. Tearing energy includes surface energy, energy dissipated in plastic flow processes, and energy dissipated irreversibly in viscoelastic processes. The advantage of using the trouser-tear test lies in the assumption that all of these changes in energy are proportional to crack length and is primarily affected by the deformation in the vicinity of the crack- tip. Hence, the total energy is independent of the shape of the test specimen and the way the forces are applied. In other words, although the stress distribution at the tip of a tear crack is complex, it is independent of the crack length. 3/ from4

  4. In mathematical terms, the work done during a tear test can be given by: where F is the tearing force and Ac is the tear distance [3]. It is important to note that the changes in extension of the material between the tip of the tear and the legs are negligible and were ignored in this equation. The tearing energy, or critical fracture energy, can be written as: where B is the thickness of the specimen. Hence, by combining Equations 1 and 2: It can be confirmed from Equation 3 that the critical tearing energy is independent of the initial sample geometry and crack length. The critical tearing energy could have also been calculated using Equation 2, although more complicated crack length 4/ from4

  5. measurement before and after the tear test is needed to achieve good results. 5/ from4

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