MatE 454 Jeopardy
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Transcript of MatE 454 Jeopardy
Definitions
Polymer Solubility and
Thermo
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$200 $200 $200$200$200
$300 $300$300$300$300
$400 $400$400$400
$500 $500$500$500
Multi-component Materials
Polymer Transitions
Phase Continuity and
Diagrams
$400
$500
Final Jeopardy!!!
Category:
Fracture Behavior
Final Jeopardy
A plot of compliance to this power versus crack length will result in a straight line for a
double cantilever beam specimen.
What is ...
Final Jeopardy
• 1/3 power
Cube root of specimen compliance plotted versus crack length
G 3P2ba
a* = a +
Correction for both shear deformation and root rotation by adding a length to a, where can be determined experimentally by plotting C1/3
Data Reduction (3)
E8P
Ba
h
3
E8P
Ba
h
3
G 12a2
EB2h3
C
2
3 2Eh3
16a4G 12a2
EB2h3
C
2
3 2Eh3
16a4
C P
8
EB
a
h
3
Eq. (2) = ...
C P
8
EB
a
h
3
Eq. (2) = ...
G 12a2
EB2h3 P 2
Eq. (1) G(C(a))= ...
G 12a2
EB2h3 P 2
Eq. (1) G(C(a))= ...
G 3P2aB
G 3P2aB
Polymers that are covalently linked end to
end.
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Definitions For $100
Block co-Polymers
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A material having two or more distinct constituent materials or phases with properties that are noticeably different from the
constituent properties
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A composite material
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List three types of composites based
on form of the reinforcement
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•Continuous Fiber•Short fibers or whiskers•Particulates•Flakes•Nanocomposites
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A technique that measures the difference in heat flow to a sample
and to a reference sample as a direct function of time or temperature under
heating cooling or isothermal conditions.
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Differential Scanning
Calorimetry
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In polymer blends, the shape and arrangement of the
phases
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Morphology
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This staining agent for TEM is often used to improve
contrast between the polymer phases
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Multicomponent Polymer Materials For $100
Osmium Tetroxide (OsO4)
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This scattering technique is useful for studying domain sizes in block copolymers,
blends, and nanocomposites from 5-100 nm
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Multicomponent Polymer Materials For $200
Small-angle X-Ray Scattering
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The main assumption in the rule of mixtures for modulus
and
The main assumption in the inverse rule of mixtures
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Multicomponent Polymer Materials For $300
For rule of mixtures: Iso-strain assumption (longitudinal load produces
equal strain in both fiber and matrix)
For inverse rule of mixtures: Iso-stress assumption (stress is the same in each
component)
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In the following Takayanagi Model, this is
the volume fraction of phase A
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Multicomponent Polymer Materials For $400
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Volume Fraction of Phase A =
This equation defines a reinforcement efficiency to obtain a better estimate than the inverse rule of mixtures.
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Multicomponent Polymer Materials For $500
Halpin-Tsai Equation
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f
fm
V
VPP
1
1
mf
mf
PP
PP
These are the two types of DSCs
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Polymer Transitions For $100
Power compensated and
Heat Flux
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Names of the five regions of viscoelastic behavior illustrated
below
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Polymer Transitions For $200
(1) Glassy state
(2) Glass transition
(3) Rubbery Plateau
(4) Rubbery Flow
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Number of material constants to define elastic behavior for
an isotropic material
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Polymer Transitions For $300
2
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If two polymers are mixed forming one phase, then one sharp glass transition will be
observed at a temperature governed by this equation.
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Polymer Transitions For $400
Fox’s Equation
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2
2
1
11
ggg T
W
T
W
T
In dynamic mechanical analysis, tan δ, is defined by
this ratio.
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Polymer Transitions For $500
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E
E
tan
Out of phase modulus (loss modulus)
In phase modulus (storage modulus)
Some of the common morphologies in immiscible polymer blends and block
copolymers.
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Phase Continuity and Diagrams
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•Spheres of Phase I in Phase II
•Cylinders of Phase I in Phase II
•Dual Phase Continuity
•Alternating Lamella
•Phase within a phase within a phase
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The relationship between viscosity and concentration
for phase continuity?
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Phase Continuity and Diagrams
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Decreasing viscosity and increasing concentration of phase 1 relative to
phase 2 favors phase I being the continuous phase:
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X1
2
2
1
where if X>1, phase 1 is continuousX~1, dual phase continuity or phase inversionX<1, phase 2 is continuous
This type of phase behavior is most common for polymer
blends
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Phase Continuity and Diagrams
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Lower Critical Solution Temperature
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The microstructure of blends in this region of the phase diagram will evolve following nucleation and
growth kinetics
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Phase Continuity and Diagrams
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Area between spinodal and
binodal curves
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Spinodal (represents stability)
Binodal (represents equilibrium)
Blend will evolve following nucleation and growth kinetics
Blend will evolve following spinodal decomposition kinetics.
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Phase Continuity and Diagrams
For $500Consider the phase diagram below. This is the relationship between VI, VII, xI, xII, x
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)(
)(
1xx
xx
V
V II
II
I
)(
)(
1xx
xxV
II
III
)(
)(
III
III xx
xxV
Polymerization of monomer II in presence of monomer I
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Polymer Solubility and ThermoFor $100
Reaction Induced Phase Separation (RIPS)
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Represented by the circled terms in the Flory-Huggins Equation Below
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Polymer Solubility and ThermoFor $200
)1()1ln(
)1(ln AAA
B
AA
A
AM
NNkT
G
Entropy of Mixing ΔSm
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Given two polymers (and their solubility parameters), their molecular weights, their
composition in a blend, and the temperature of mixing; these equations would be used
to estimate miscibility.
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Polymer Solubility and ThermoFor $300
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)1()1ln(
)1(ln AAA
B
AA
A
AM
NNkT
G
RT
Vr2
211
)(
Molar volume
This technique can be used to estimate the solubility
parameter of a polymer based on the molecular formula of
the polymer repeat unit
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Polymer Solubility and ThermoFor $400
Small’s Method
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In a block co-polymer system, this is the effect of varying
composition
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Polymer Solubility and ThermoFor $500
Shape and packing of the microstructure (see below)
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