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Chapter 4.1: Lüpke, T.: Fundamental Principles of Mechanical Behaviour. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
Fig.: 4.1
L
F
F
L 0
L
F
F
A0
a bL 0
z
x
y
zz
yz
xz
A
C
D
B
Chapter 4.1: Lüpke, T.: Fundamental Principles of Mechanical Behaviour. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
Fig.: 4.2
y
zz
xzyz
yy
zy
xy
xx
zx
yx
x
z
Chapter 4.1: Lüpke, T.: Fundamental Principles of Mechanical Behaviour. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
Fig.: 4.3
Chapter 4.1: Lüpke, T.: Fundamental Principles of Mechanical Behaviour. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
Fig.: 4.4
Maxwell Voigt-Kelvin
E1
1
E2
2
E 3
3
E∞
1 2 3
E i
i
i
Chapter 4.1: Lüpke, T.: Fundamental Principles of Mechanical Behaviour. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
Fig.: 4.5
0
0
(t)
1
time tt t
(t)
(t)
2
(t)1
(t)2
(t) = (t) + (t)
1 2
21
stra
in
stre
ss
Chapter 4.1: Lüpke, T.: Fundamental Principles of Mechanical Behaviour. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
Fig.: 4.6
Tlo
g E
effective range
master curve
log (t) log tlog (t )0
0
T3
T1
T2
log aT
Chapter 4.1: Lüpke, T.: Fundamental Principles of Mechanical Behaviour. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
Fig.: 4.7
S
1
2
b)strain
F
a)
a b
strain
stre
ss
stre
ss
Chapter 4.1: Lüpke, T.: Fundamental Principles of Mechanical Behaviour. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
Fig.: 4.8
1 – nominal (engineering) stress – strain curve
2 – true stress – strain curve
time ttime t
stre
ss
stra
in
0 = const.
time t
stre
ss
(t)
(t)
stra
in
0 = const.
time t
Chapter 4.2: Lüpke, T.: Mechanical Spectroscopy. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
Fig.: 4.9
0
(t)
stra
in
time t
stre
ss
1/f
(t)
0
Fig.: 4.10
Chapter 4.2: Lüpke, T.: Mechanical Spectroscopy. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
E’’ E*
E’
i
j
Fig.: 4.11
Chapter 4.2: Lüpke, T.: Mechanical Spectroscopy. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
a b
2
1
3
2
1
3
4
Fig.: 4.12
1 – prismatic specimen2 – clamping device3 – oscillating weight4 – counterweight
Chapter 4.2: Lüpke, T.: Mechanical Spectroscopy. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
time t
1/f
l0
0
An
An
+1
defle
ctio
n l
Fig.: 4.13
Chapter 4.2: Lüpke, T.: Mechanical Spectroscopy. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
frequency f
f i
0
1
0.707
f i
ampl
itude
A/A
max
Fig.: 4.14
Chapter 4.2: Lüpke, T.: Mechanical Spectroscopy. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
fromgenerator
toamplifier
specimen
clamp
method A method B
specimen
to ampl
ifier
from
gen
erat
or
textilefilaments
Fig.: 4.15
Chapter 4.2: Lüpke, T.: Mechanical Spectroscopy. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
glas
str
ansi
tion
1010
108
106
104
102
log t
glassy state
E‘‘
(Pa
)
10-1
100
101
rubb
er-e
last
icpl
atea
u
flow
re
gion
tan
E‘ (
Pa)
Fig.: 4.16
Chapter 4.2: Lüpke, T.: Mechanical Spectroscopy. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
1010
108
106
104
E‘‘
(Pa
)
-1
0
1
tan
E‘ (
Pa)
T (°C)
10
10
10
10-2
-150 -100 -50 0 50 100 150
T Tg
Fig.: 4.17
Chapter 4.2: Lüpke, T.: Mechanical Spectroscopy. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
10
8
7
E‘ (
Pa)
1/T (1000/K)
10 10 10 10 10 10 10-6 -4 -2 0 2 4 6
10
10
10
10
10
f (Hz)
effectiverange
0.1 ... 50 Hz
T = 0 °C
T = 50 °C
master curveT = 25 °C0
ln (
a ) T
9
6
3.1
-5
5
15Arrhenius-plot
H = 430 kJ mol
3.3 3.5 3.7-15
Fig.: 4.18
Chapter 4.2: Lüpke, T.: Mechanical Spectroscopy. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
-1
log
E‘
T
increasingmolecular weight
increasingcrystallinity
increasing crosslinkdensity
Fig.: 4.19
Chapter 4.2: Lüpke, T.: Mechanical Spectroscopy. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
10
E‘ (
Pa)
10
0
1
2
3
T (°C)
PBPSSBRSBS
-150 -100 -50 0 50 100 150 200 250
tan
910
810
710
610
510
Fig.: 4.20
Chapter 4.2: Lüpke, T.: Mechanical Spectroscopy. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
Fig.: 4.21
t
0
a
t
0
b
0
c
0
Chapter 4.3: Bierögel, C.: Quasi-Static Test Methods. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
without influence of timepure retardation pure relaxation
with influence of time
b a c
d
Fig.: 4.22
Chapter 4.3: Bierögel, C.: Quasi-Static Test Methods. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
t (s)
PS
E
(M
Pa)
102
103
10101010101010 10103210-1-2-3 4-4
PVC
PS-HI
PE-HD
PE-LD
102
103
T (°C)40200-20-40 60
PS
PVCPS-HI
PE-HD
PE-LD
t
a b
E
(M
Pa)
t
104104
Fig.: 4.23
Chapter 4.3: Bierögel, C.: Quasi-Static Test Methods. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
A0
(t)
t = 0 t
x
F
cross-head
x
z
y
cross-section
h
b
L
L1
L (t)
L
L
L0
1
0L
traverse path
L0
2
vT
F
L0
0L
L2 L
3 L4
L(t)= L + L + L + L1 2 3 4
L (x)
Fig.: 4.24
Chapter 4.3: Bierögel, C.: Quasi-Static Test Methods. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
F
(s )-1
normative strain rate of dumb-bell specimen
normative = nominal strainrate of prismatic specimen
average nominal strain rate ofdumbbell specimen
L
L L0
Fig.: 4.25
Chapter 4.3: Bierögel, C.: Quasi-Static Test Methods. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
1A 1B 1BA 5A 2 5 4
1BB 5B
b
r
d
b1
l l 2 l 1 L03 L
2
Fig.: 4.26
Chapter 4.3: Bierögel, C.: Quasi-Static Test Methods. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
a b0 b2
(M
Pa)
F2
F1
Fv
L
0
b1
q
q2b
2
12
1
0
F (
N)
F
= f()
L – L0102
Lv 01 L02L (mm)0
12
(%)
= f()
12
(%)
L01 L02L (mm)0
L – L0102
b =
b -
b
b (m
m)q1
(
%)
q
Fig.: 4.27
Chapter 4.3: Bierögel, C.: Quasi-Static Test Methods. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
(%)
=
(M
Pa)
=
a
b
c
d
B
y
B
Bx
t
tB
tB tM
= B M
y
M= B M
= y M
= B M
(%)
e
= y M
x = B M
tB
Fig.: 4.28
Chapter 4.3: Bierögel, C.: Quasi-Static Test Methods. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
(M
Pa)
= y M
B
or (%)
= y M
t t
By
M
y
t
Fig.: 4.29
Chapter 4.3: Bierögel, C.: Quasi-Static Test Methods. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
(%)
(MP
a)
b125
100
75
50
25
00 50 100 150 200
(M
Pa)
increasing
a125
100
75
50
25
00 50 100 150 200
(%)
T decreasing
Fig.: 4.30
Chapter 4.3: Bierögel, C.: Quasi-Static Test Methods. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
71 2 3 4 5 6
elongationwithoutnecking
elongation with necking
(
MP
a)
(%)
linear-viscoelastic regionlinear-elastic region
non-linear viscoelastic regionnecking regionsteady-state plastic yieldingstrain-hardening regionultimative failure ─ fracture
1234567
= f ()
defe
ct d
ensi
ty Q
D
(%
/min
) = f ()
Q = f ()
t
D
(%)
a
b
Fig.: 4.31
Chapter 4.3: Bierögel, C.: Quasi-Static Test Methods. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
b1
b m
b2
lel2
1
lred
L
r
lm
l
Fig.: 4.32
Chapter 4.3: Bierögel, C.: Quasi-Static Test Methods. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
(%)
(M
Pa)
b100
80
60
40
20
0 0 3 6 9 10 12
(%
/min
)
a1.5
1.2
0.9
0.6
0.3
0 0 2 4 6 8 10
(%)
(%
/min
)
1.5
1.2
0.9
0.6
0.3
0
t
= f ()
= f () = f ()
= f ()
Fig.: 4.33
Chapter 4.3: Bierögel, C.: Quasi-Static Test Methods. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
2525
25
120
50
15°75°
notch
clamp mark
notch
100
90°
R19
R25
.4
2728.4
R12.7
b
a
Fig.: 4.34
Chapter 4.3: Bierögel, C.: Quasi-Static Test Methods. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
a b
v
F
F
F (
N)
Fmax
l (mm)
T
Fig.: 4.35
Chapter 4.3: Bierögel, C.: Quasi-Static Test Methods. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
0
2
4
6
8
10
12
14
0 10 20 30 40
parallelperpendicularto the processing direction
x
z
y
A0
(t)cross-section
d
b
L
L0
1
L0
2
F
upper pressure plate
traverse path
F
A = b d0
Flower pressure plate
L0
L= L − L 02 01
Fig.: 4.36
Chapter 4.3: Bierögel, C.: Quasi-Static Test Methods. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
x
y
prism cylinder tube
I = yb d3
12
A = b d0
I = y d4
64
A = 0 d
2
4
l = d3.46
l = 4
l l l
d d ib d
z
da
d
I = y 64
(d − d )a4 4
A = 04
l = 4
i
(d − d )a2 2
i
(d − d )a4 4
i
(d − d )a2 2
i
Fig.: 4.37
Chapter 4.3: Bierögel, C.: Quasi-Static Test Methods. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
10
10
50
50
10
80
4
10 4
b
a
c
Fig.: 4.38
Chapter 4.3: Bierögel, C.: Quasi-Static Test Methods. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
c (%)
(M
Pa)
M=B
x
y
M = B y
a
b
c
d
x
M=B
M = B
cM = cBcy
(%)
M
B
M
cM
B
cB
Fig.: 4.39
Chapter 4.3: Bierögel, C.: Quasi-Static Test Methods. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
(M
Pa)
y
M = B
M
PStensile test
shear bands
crazes
(%)y
Fig.: 4.40
PScompression test
Chapter 4.3: Bierögel, C.: Quasi-Static Test Methods. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
specimen
traverse
bending jaw
ll l
F
a ab
Q = 0
M
Q
b
support
specimenFvariable radii
positioning slide
traverse
v
anvil
L
T
Mb
Q
L/3
Mmax
Mmax
vT
b a
M = F L4maxM =
F l2max
a
F2Q =
F2
Q = +
transverse force QF2Q =
bending moment Mb
F2
Q = +
Fig.: 4.41
Chapter 4.3: Bierögel, C.: Quasi-Static Test Methods. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
x
zy
-
+
x
y
z
h
-
+
x
y
zh
max
maxmax
max
h
b
zy
F EI
L/2
y
max
b
a
c
f
Fig.: 4.42
Chapter 4.3: Bierögel, C.: Quasi-Static Test Methods. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
deflection sensoranvil
F
traverse
vT
a
F
traverse
vT
fork sensor
anvil
b
support
support
ff
Fig.: 4.43
Chapter 4.3: Bierögel, C.: Quasi-Static Test Methods. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
a
b10
80
4
B
DA C
hb
hb
h
h
b
b
width direction of the product
length direction of the product
(processing direction)
Fig.: 4.44
Chapter 4.3: Bierögel, C.: Quasi-Static Test Methods. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
a
b
c
f (mm)
(
MP
a)
x
fM=fB
fM
f (%)x fB
fB
fC
f
fM fB
fB fM fB fC
Fig.: 4.45
Chapter 4.3: Bierögel, C.: Quasi-Static Test Methods. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
(
MP
a)
f (%)
f
0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.00
20
40
60
80
100
120
140
160
180
200
0 wt.-%
10 wt.-%
20 wt.-%
30 wt.-%
50 wt.-%
PP/GF
40 wt.-%
Fig.: 4.46
Chapter 4.3: Bierögel, C.: Quasi-Static Test Methods. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
CHARPY arrangement IZOD arrangement
anvil
support span
support
F
impact direction
F impact direction anvil
specimen
specimensupport
Fig.: 4.47
Chapter 4.4: Impact Loading. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
(mm)
A
DB
C
PVC Nylon
POM
ABS
PMMA
40
30
20
10
010 100
1.6
1.2
0.8
0.4
0.010 10 10
-2 -1
a
b
1
(mm)
0
a
(kJ
m
)cN
-2
a
(kJ
m
)iN
-2
Fig.: 4.48
Chapter 4.4: Impact Loading. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
F (
N)
500
400
300
200
100
0
0.0 0.5 1.0 1.5 2.0 2.5
acN
acN
f (mm)
a acN cN
Fig.: 4.49
11 2
2
Chapter 4.4: Impact Loading. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
Fig.: 4.50
Chapter 4.4: Impact Loading. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
0.0 0.2 0.4 0.6 0.8120
160
200
240
280
320
compatibilizer content (wt.-%)
E (
kJ m
)
MAHphenol
-2
Fig.: 4.51
Chapter 4.4: Impact Loading. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
guiding device for the drop weight
arrest and trigger device
drop weight
striker
support
frame
base plate
specimenclamp
D2D3D4
R
HH
Fig.: 4.52
Chapter 4.4: Impact Loading. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
a b
c
Fig.: 4.53
Chapter 4.4: Impact Loading. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
t (ms)
3.6
3.8
4.0
4.2
F (
N)
H
test speed
energy
loaddeformation
100
80
60
40
20
0
30
25
20
15
10
5
0
1.0
0.8
0.6
0.4
0.2
0
0 1 2 3 4 5 6 7
4.4
E (
J)
s (m
m)
v
(ms
)
-1
Fig.: 4.54
Chapter 4.4: Impact Loading. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
pipe specimen
support
straingauge
drop weight
F
= 0° = 45° = 90°
test arrangement
0 10 20 30
0
200
400
600
800
F (
N)
t (ms)
weld joints
= 0°
= 0°
a
b
Fig.: 4.55
Chapter 4.4: Impact Loading. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
t
1 stress cycle
m
a a
u
Fig.: 4.56
Chapter 4.5: Höninger, H.: Fatigue Behavior. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
>
ma
+ te
nsio
n range for pulsating range for pulsatingcompressive stresses tensile stresses
1 2 3 4 5 6 7co
mpr
essi
on
=
ma
<
ma
<
ma
=
ma
>
ma
=
0m
range for pulsating stresses
Fig.: 4.57
Chapter 4.5: Höninger, H.: Fatigue Behavior. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
f
measurementmotion link
rotating axis
specimendirectingspring
drive motion link
zero position
eccentric hub
eccentric drive
supporting bracketof rotating axis
load cell
Fig.: 4.58
Chapter 4.5: Höninger, H.: Fatigue Behavior. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
failure by fracture
S–N curve
temperature
damage line
10 10 10 104 5 6 7
N
160
140
120
100
80
60
40
20
010 10 10 104 5 6
7N
80
60
40
20
0
T (
°C)
f = 11.2 Hz
T
ba
T (
°C)
Fig.: 4.59
Chapter 4.5: Höninger, H.: Fatigue Behavior. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
(M
Pa)
a1
(M
Pa)
a1
a1
aspecimen
load cell
strain-controlledtest device
clamp b
controller
Fig.: 4.60
Chapter 4.5: Höninger, H.: Fatigue Behavior. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
Fig.: 4.61
Chapter 4.5: Höninger, H.: Fatigue Behavior. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
Fig.: 4.62
Chapter 4.5: Höninger, H.: Fatigue Behavior. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
10 10 10 10 10 10 100 1 2 3 4 5 6
1000900800700
600
500
400
300
200
average curve
Pc = 90 % - curve
N
s = -1
(
MP
a)a
(
MP
a)pu
l
PA/GFP
c10
Pc90
Pc90
Pc10
CFK
260
210
160
110
60
1010 10 10 10 10 102 3 4 5 6
7
N
s = 0.1
Fig.: 4.63
Chapter 4.5: Höninger, H.: Fatigue Behavior. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
log
alternatingfatigue strength
fatigue strength
N K K log ND
I
II
D
x
Fig.: 4.64
Chapter 4.5: Höninger, H.: Fatigue Behavior. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
arctan k
N K log ND
arctan k
D
T
P = 90 %c
50 %10 %
TN
i
a
log
b
D
iN K log ND i
alo
gi
log
Fig.: 4.65
Chapter 4.5: Höninger, H.: Fatigue Behavior. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
a
a
a
1
2
3
material:
fiber reinforcing: CF, GF, AFmatrix material: thermoplastic resin, thermosetreinforcement : UD, fabric, matfiber orientation, positioningfiber content, filler contentmaterial treatment: post-curing, conditioning
loading:
tensile, compression, bending, load ratioloading type: sine, rectangle, triangletest frequencyenvironment: temperature, humidity, medium
S–N curvefollowing fractureor failure criteria
thermal failure
fatigue stress failure
stress cycle number N
Fig.: 4.66
Chapter 4.5: Höninger, H.: Fatigue Behavior. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
load
leve
l
(MP
a)a
100
90
80
70
60
50
40
3010 10 10 103 4 5
6
perpendicular toflow direction
flow direction
N
Fig.: 4.67
Chapter 4.5: Höninger, H.: Fatigue Behavior. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
(MP
a)a
60
40
20
010 10 10 10 103 4 5 6
7
N
compression cyclic loading
tensile cyclic loading
tension – compression loading
Fig.: 4.68
Chapter 4.5: Höninger, H.: Fatigue Behavior. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
0 = const.
t = const.
= const.
= f ( ,t)0
log t
0
Fig.: 4.69
Chapter 4.6: Höninger, H.: Long-Term Static Behavior. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
specimen
clamping device
base frame
loading device
optical deformationmeasurement sensor
mass
Fig.: 4.70
Chapter 4.6: Höninger, H.: Long-Term Static Behavior. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
t t t t1 2 3 4t t t t1 2 3 4
log t
1
2
3
4
1
2
3
4
(%
)
1
2
3
4
log t
t1
t1 < t 2< t 3< t4
(%)
12
3
4
log t
a b
dc
(M
Pa)
(M
Pa)
E
(MP
a)c
1 < 2 < 3 < 4
1 < 2 < 3 < 4
t2
t3
t4
1 < 2 < 3 < 4
2 3 4
Fig.: 4.71
Chapter 4.6: Höninger, H.: Long-Term Static Behavior. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
1.0
0.8
0.6
0.4
0.2
010 10 10 10 10 10-1 0 1 2 3
4
0 (MPa)
2 4 5
6 8 10
t (h) 2
101
86
4
2
100
2 4 6 8 10 2 4 6 8 10 0 1
100
10110
2
103
104
10-1b
5
4
3
2
1
0
10 MPa
8 MPa
6 MPa
2 MPa
4 MPa
5 MPa
10
8
6
4
2
0
3.0 %
2.5 %2.0 %
1.5 %
1.0 %
0.5 %
(%
)
t (h)
(%)
a
dc
(MP
a)E
c (
MP
a)
(MP
a)
t (h)
t (h)
10 10 10 10 10 10-1 0 1 2 3 4
10 10 10 10 10 10-1 0 1 2 3 4
Fig.: 4.72
Chapter 4.6: Höninger, H.: Long-Term Static Behavior. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
10 10 10 10 10 10-1 0 1 2 3 4
b14
12
8
6
4
0
t (h)
a
t (h)
10 10 10 10 10 10-1 0 1 2 3 4
(%
)
0(MPa)water 20 °C
23 20 18
15
12
963
tensile creep strength
wash lye 20 °C
12963
1518
19
2021
(%)
10
2
14
12
8
6
4
0
10
2
0(MPa)
Fig.: 4.73
Chapter 4.6: Höninger, H.: Long-Term Static Behavior. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
(M
Pa)
10 10 10 10 10 10
1 2 3 4 5 6
t (h)B
< < 1 2 3
3
2
1
Fig.: 4.74
Chapter 4.6: Höninger, H.: Long-Term Static Behavior. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
clamping jig
frame
elongationmeasurement device
specimen
load cell
Fig.: 4.75
Chapter 4.6: Höninger, H.: Long-Term Static Behavior. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
10 10 10 10 10-1 0 1 2 3
1000
= 1 %
600
400
200
100
t (h)
= 2 %
= 3 %
E
(M
Pa)
r
Fig.: 4.76
Chapter 4.6: Höninger, H.: Long-Term Static Behavior. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
ba
d4.5
4.0
3.5
3.0
2.5
2.010 10 10 10 10 10-1
t (h)
10 MPa20 MPa
30 MPa40 MPa
50 MPa
60 MPa
0 1 2 3 4
t (h)
101
8060
40
20
102
10 2 4 6 8 10r (%)
100
101 102
103
104
10-1
2 4
86
2.5
2.0
1.5
1.0
0.5
0
60 MPa50 MPa
40 MPa
10 MPa
20 MPa
30 MPa
10 10 10 10 10 10
-1
t (h)
0 1 2 3 4
60
48
36
24
12
0
1.50 %
0.25 %
1.00 %
1.25 %
0.75 %
0.50 %
c
10 10 10 10 10 10
-1
t (h)
0 1 2 3 4
(%
)
(MP
a)E
(G
Pa)
c0
(MP
a)0
-1 0
Fig.: 4.77
Chapter 4.6: Höninger, H.: Long-Term Static Behavior. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
ba
d1.0
0.8
0.6
0.4
0.2
010 10 10 10 10 10-1
t (h)
0 1 2 3 4
20
108
4
2
1
6 8 10 2 4 6 8 10 r (%)
2
10
12.5
10.0
7.5
5.0
2.5
010 10 10 10 10 10
-1
t (h)
0 1 2 3 4
12.5
10.0
7.5
5.0
2.5
0
c
10 10 10 10 10 10
-1
t (h)
0 1 2 3 4
(%
)
(MP
a)E
(G
Pa)
c0
(MP
a)0
0 1
10 MPa8 MPa
6 MPa5 MPa
4 MPa2 MPa
t (h)
100
10 110 2
10 310 -1
5.0 %4.0 %
3.0 %
2.0 %
1.0 %
0.5 %
0 (MPa)
2 4 5
6 8 10
6
Fig.: 4.78
Chapter 4.6: Höninger, H.: Long-Term Static Behavior. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
Fig.: 4.79
materialbehaviourrelated todeformationand time
indentationsafterunloading
mostlyplastic
viscoelastic-plastic
rubber-elastic
timet t1
defo
rmat
ion
2 t t1 2 t t
1 2
Chapter 4.7: Hardness Test Methods. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
orientation
Vickers
Knoop
Fig.: 4.80
Chapter 4.7: Hardness Test Methods. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
123
4
specimen
support
steel ball
dial gauge
load step
frameF
h h(t)0
F0 F0 + F
D
Fig.: 4.81
Chapter 4.7: Hardness Test Methods. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
Shore A
a
lh
F F
Shore D
a
lh
Fig.: 4.82
Chapter 4.7: Hardness Test Methods. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
Sho
re A
120
80
40
0 100 200 300 400
HB (Nmm )-2
100
80
60
40
200 10 20 30 40 50
Shore D
ba
HR
Fig.: 4.83
Chapter 4.7: Hardness Test Methods. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
100
10-1
10-2
10-3
10-4
10-5
10-6
100
101
102
103
104
HM (MPa)
h (m
m)
10 N-6
0.02 N
30 kN
polymersnon-ferrousmetals steels
hard metalsceramicsrubber
2 N > F and h > 200 nm
h < 200 nm
2 N
2 N < F < 30 kN
macrohardness
microhardness
nanohardness
load
F
Fig.: 4.84
Chapter 4.7: Hardness Test Methods. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
indenter
specimen
load cell adapter
distancemeasurement
traverse adapter
specimen
frame
load cell
indentersocket
support
Fig.: 4.85
Chapter 4.7: Hardness Test Methods. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
Fig.: 4.86
Chapter 4.7: Hardness Test Methods. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
hr
hmaxhp
S
h
F
Fmax
Wplast
a
b
hc
Welast
Fig.: 4.87
Chapter 4.7: Hardness Test Methods. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
0 100 200 3000
0.05
0.10
0.15
0.20
h (nm)
F (
mN
)
100 µm
Fig.: 4.88
Chapter 4.7: Hardness Test Methods. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
H
(M
Pa)
0 50 100 150100 1500
2000
2500
3000
T (°C)a
5 10 15 20 25
initial state
140 °C
150 °C
I (nm)theo
E
H IT
120
140
160
180
200
IT
b
a
E
(M
Pa)
IT
IT
Fig.: 4.89
Chapter 4.7: Hardness Test Methods. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
(MPa)y
HV
(M
Pa
)
PVC + 35 % DOPPE-LD
PTFEPE-HD
PPCA
ABS
ABS
PVCPC
PPOPOM
PSPOM-Co
SANPMMA
250
200
150
100
50
00 20 40 60 80 100
HV 2.33 y
PV
C+
25 %
DO
P
PA
6;
9 %
H
O2
PA
6;
3 %
H
O2
PA6; 0.4 % H O2
Fig.: 4.90
Chapter 4.7: Hardness Test Methods. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
(MPa)y
H
(M
Pa)
60
40
20
00 20 40 60 80 100
60
40
20
00 10 20 30
150
100
50
00 20 40 60
(%)
H = 3.05 y
H = 1.75 y
tensile
compression
0 mol.-% ethylene4 mol.-% ethylene6 mol.-% ethylene8 mol.-% ethylene
(
MP
a)
(
MP
a)
IT(%)
a b
c
0 mol.-% ethylene4 mol.-% ethylene6 mol.-% ethylene8 mol.-% ethylene
Fig.: 4.91
Chapter 4.7: Hardness Test Methods. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
a0.050
0.045
0.0400 2 4 6 8
ethylene content (mol.-%) H / EIT
3.0
2.5
2.0
1.5
1.00.044 0.046 0.048 0.050
b
IT
H
/ E
ITIT
J
(N
mm
)
IdST
-1
incr
ease
of
plas
ticity
Fig.: 4.92
Chapter 4.7: Hardness Test Methods. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
(MPa)y
HV
(M
Pa
)
00 20 40 60 80
PE-HD
PP PVC
PMMA
200
150
100
50
PS
Fig.: 4.93
Chapter 4.7: Hardness Test Methods. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
Chapter 4.8: Friedrich, K.: Friction and Wear. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
Fig.: 4.94
FN
specimen
counter part
continuous
rotation
test principle: block-on-ring test principle: pin-on-disc
F
specimen
counter partcontinuous
rotation
wear track
wear track
a b
N
v
v
FN
specimen
test principle: cyclic wear
counter part oscillation
wear track
dot contact
line contact
area contact
Chapter 4.8: Friedrich, K.: Friction and Wear. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
Fig.: 4.95
Wl : linear wear value wear area AV
WV = Wl ·AV
volumetric wear value
WV = Wq ·l
l
Wq: planimetric wear value
Chapter 4.8: Friedrich, K.: Friction and Wear. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
Fig.: 4.96
volumetric wear value
static load limit
p-v line at defined
stationary wear rate
p-v limit
thermal limit
log v
linear wear
rate p v
log
p
Chapter 4.8: Friedrich, K.: Friction and Wear. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
Fig.: 4.97
0 0.5 1.0 1.50
0.2
0.3
0.4
0.5
µ
R (µm)
1E-7
1E-6
1E-
1E-4
1E-310-3
10-4
10-5
10-6
10-7
friction coefficient
specific wear rate
p = 1.4 MPa
v = 1 m/s
R (µm)a
0.1
W
(mm
/N
m)
s3
Chapter 4.8: Friedrich, K.: Friction and Wear. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
Fig.: 4.98
high-
performance
polymer
internal
lubricants
(PTFE,
graphite, ...)
reinforcements
(glass-fibers,
carbon-fibers)
Chapter 4.8: Friedrich, K.: Friction and Wear. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
Fig.: 4.99
0 1000
0.8
R (µm)
10-3
PTFE (vol.-%)
W
(mm
/N
m)
s3
friction coefficient
specific wear rate
p = 1 MPa
v = 1 m/s
optimal region
10-4
10-5
10-6
µ0.6
0.4
0.2
20 40 60 80
Chapter 4.8: Friedrich, K.: Friction and Wear. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
Fig.: 4.100
0 25
R (µm)
10-4
(vol.-%)
W
(mm
/N
m)
s3
matrixglass-fibercarbon-fiber
p v = 1.7 MPa m/s
10-5
10-6
10-7
5 10 15 20
v
Chapter 4.8: Friedrich, K.: Friction and Wear. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
Fig.: 4.101
0 250
R (µm)
0.3
W
(mm
/N
m)
s3
50 100 150 200
friction coefficient
specific wear rate
T (°C)
0
µ
0
2
4
6
8
10
0.2
0.1
Chapter 4.8: Friedrich, K.: Friction and Wear. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
Fig.: 4.102
0
0.1
0.2
µ
10 10 10 10-1 -3 -5 6.2
3.1
0.62
v (m min )
T1
T2
p (N
mm
)-2
Chapter 4.8: Friedrich, K.: Friction and Wear. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
Fig.: 4.103
-1
Chapter 4.8: Friedrich, K.: Friction and Wear. In: Grellmann, W., Seidler, S. (Eds.): Polymer Testing. Carl Hanser Verlag, Munich (2013) 2. Edition
Fig.: 4.104
W
(m
m
/Nm
)s
3
10
10
10
10
010
510
15 8 6 4 2 0
TiO (vol.-%) 2
SCF (vol.-%)
-3
-4
-5
-6
-7
0.8
0.6
0.4
0.2
00.0
510
15 8 6 4 2 0
TiO (vol.-%) 2
SCF (vol.-%)
µ
0.8
0.6
0.4
0.2
00.0
510
15 8 6 4 2 0
TiO (vol.-%) 2
SCF (vol.-%)
µ
10
10
10
10
010
510
15 8 6 4 2 0
TiO (vol.-
%) 2
SCF (vol.-%)
-3
-4
-5
-6
-7W
(m
m
/Nm
)s
3