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A stress-strain line that changes slope gradually indicates what?
Homogeneous plastic deformation throughout the specimen.
Plastic deformation conserves what?
Volume
Plastic deformation is by...
Shear
Uniform plastic deformation leads to a nonlinear increase in the engineering stress. This is referred to as what?
Strain hardening
Where does necking begin?
At the maximum engineering stress
True stress is greatest where?
In the neck
True plastic strain is greatest where?
In the neck.
After necking, where does the strain hardening occur?
In the neck
Can Young's modulus be evaluated from both the engineering stress-strain curve and the true stress-strain curve?
Yes
What is the primary cause of strain hardening?
An increase in dislocation density
How is the strength coefficient and strain-hardening exponent derived?
They cannot be derived; they just fit measured data.
For metals, what is the range of values for the strain-hardening exponent (n)?
From close to 0 to slightly greater than .5
Can true stress be calculated in the neck?
No, the hydrostatic stress component and the developing voids make it impossible to calculate.
What is one measure of ductility?
Reduction in area.
Reduction in area during necking is uniquely related to what?
True strain at fracture
Can a Rockwell hardness test be performed on a rough surface?
No, only smooth, flat surfaces.
What are the 2 types of indenters used in a Rockwell Hardness test?
A tungsten carbide ball and a diamond cone indenter.
What is the hardness and density of the tungsten carbide ball used during the Rockwell hardness test?
Hardness should be no less than 1500 HV10 and the density is 14.8 g/cm^3
For the diamond indenter in the Rockwell harndess test, what is the radius of the tip?
200 micrometers
What is the preliminary test force for the Rockwell hardness test?
10kgf
What happens to the material around a Rockwell indentation?
It is coldworked
How far away should indentations be made when doing a Rockwell hardness test?
3 diameters away from the center of one indentation to the center of another.
Can a Brinell hardness test be performed on a rough surface?
no
What type of tip is used in a Brinell hardness test?
A hardened steel or tungsten carbide ball
What are the units of hardness?
Units of stress
What is the Brinell hardness number proportional to?
Tensile strength
Can a Vickers hardness test be performed on a rough surface?
No
What kind a tip is used in a Vickers harness test?
Diamond pyramid indenter
What are the units of Vickers hardness number?
Units of stress
The mechanical properties of polymers can be understood in terms of what two parameters?
Degree of cross-linking and temperature
The fundamental feature of a polymer is what?
A chain of carbon atoms bound to each other with strong covalent bonds.
Note: These chains are bonded to adjacent chains with weak secondary bonds. Since the secondary bonds are weak, irreversible sliding of molecules relative to each other (plastic deformation), is possible.
What do cross-links prevent?
Plastic deformation
Polymers become stiff and brittle when....
They are highly cross-linked or at low temperatures
Viscoelasticity is described as a combination of what?
Fast elastic deformation with thermally activated viscous flow.
In polymer deformation, the elastic deformation is collective bending of what?
Carbon chain molecules without relative irreversible motion.
In polymer deformation, what is thermally activated viscous flow?
It is the irreversible sliding of long chain molecules.
In polymer deformation, when thermal activation is involved, when does plastic deformation occur?
At small shear stresses when the thermal molecular motions are faster than the net macroscopic displacements
In polymer deformation, what does plastic deformation require?
It requires higher shear stresses when the thermally activated molecular motion is slow relative to the net macroscopic shears
Viscoelasticity is dependent upon what?
Temperature and strain-rate
When does a VE material show creep?
Under a constant load
When does a Ve material show stress relaxation?
Under a constant extension
What happens at high strain rates in semicrystalline polymers?
Thermally activated molecular motion is not sufficiently fast; high stress is necessary to produce plastic flow.
What happens at low strain rates in semicrystalline polymers?
Thermally activated molecular motion is sufficiently fast; low stress can produce plastic flow.
When do elastomers become brittle?
At very low temperatures when thermal energy is not available for intermolecular silding
Can mechanical properties be measured using a tension test?
It is very difficult, if not impossible to determine mechanical properties of many materials using a tension test.
Isotropic brittle materials
Materials whose properties are the same in all directions
Fracture stress is dependent on what?
Size, shape, and orientation of largest flaw. Large flaws give small fracture stresses.
Does compressive loading or tensile loading give higher fracture stress?
Compressive (~10x)
How is elastic strain energy calculated?
Area under the stress strain curve in the elastic region.
Anisotropic brittle materials
Materials whose properties vary with direction
What is toughness in an anisotropic material?
The area under the load-displacement curve
What is fracture toughness
The resistance to crack growth
intergranular cracking
cracks the follow grain boundaries
transgranular cracking
cracks the cut through grains
What is the stress intensity factor K_I?
It is the driving function for crack growth. As K_I increases, the probability of unstable crack growth increases.
When will a crack not grow?
When the fracture toughness is greater than the stress intensity factor
Benefits of an SEM
Better resolution than a light-optical system
Better depth of field
Chemical microanalysis is possible
Disadvantages of an SEM
Electron are scattered by air before they get to the specimen
Specimens must be electrically conductive or coated to prevent charging
Electron beams can damage delicate specimens
True of False. Elastomers exhibit nonlinear elasticity with a large, reversible extensibility.
True
What is hardness?
The resistance to permanent deformation.
True of False. In a 4-point bending the moment is constant over the entire gauge length.
True
What are the units of the stress intensity factor?
Pa*m^.5
What type of crystallinity does HDPE have?
semi-crystalline
Which has greater amounts of branching: LDPE or HDPE?
LDPE has more branching than HDPE
Is yield strength taken from the lower yield point or the higher yield point?
Higher yield point