notes on diffusion, deformation processes

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@ -131,3 +131,50 @@ $$C = \frac{mC_m}{1-f} + \frac{C_t}{n} + \frac{1}{\dot n} \left[ \dot C_{oh} + \
- Low thermal capacity and high conductibity - Low thermal capacity and high conductibity
- Low solubility - Low solubility
- Not contaminated by air - Not contaminated by air
## Deformation
When a metal is plastically deformed, dislocations move and multiply.
Annealed aluminium may have a dislocatio density of around 200 m per mm$^3$.
This is a very low amount.
A heavily cold worked piece may have a density of up to 270 km per mm$^3$.
As dislocation density increases, the dislocations impede the motion of other dislocations.
This means that to continue plastically deforming, more stress has to be applied.
The stress goes down towards the end of the graph due to the material necking, meaning the
material gets thinner.
This means that the engineering stress is lower as the true area is lower.
The true stress, however, is going up:
![](./images/vimscrot-2022-02-28T20:01:59,453437307+00:00.png)
### Effect of Prior Deformation (*Work Hardening*)
![](./images/vimscrot-2022-02-28T20:02:42,050513187+00:00.png)
See
[here](materials.html#work-hardening-and-cold-working)
for more information
### Effect of Temperature (Diffusion)
In an alloy, atoms tend to migrate from regions of high concentration to low concentration.
This is diffusion.
More information on diffusion [here](materials.html#diffusion).
### Annealing
Annealing is a process by which a component is heated to reduce work hardening.
![](./images/vimscrot-2022-02-28T20:32:47,838820599+00:00.png)
These are diffusional processes and only occur at higher temperatures.
When the temperature of a material, $T > 0.55T_m$, it is said to be hot.
A material being worked on hot has its deformations eliminated as fast as they are created.
A material is said to be cold when $T < 0.35T_m$.

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@ -27,17 +27,17 @@ tags: [ uni, nottingham, mechanical, engineering, mmme1029, materials ]
usually associated wit structural and mechanical properties or long standing chemical effects like usually associated wit structural and mechanical properties or long standing chemical effects like
corrosion: corrosion:
- fossil fuels - fossil fuels
- hydroelectric - hydroelectric
- oil from shale and tar - oil from shale and tar
- sands - sands
- coal gasification - coal gasification
- liquefaction - liquefaction
- geothermal energy - geothermal energy
- wind power - wind power
- bomass conversion - bomass conversion
- solar cells - solar cells
- nuclear reactors - nuclear reactors
### Applications of Energy-Related Materials ### Applications of Energy-Related Materials
@ -1140,7 +1140,74 @@ You can apply the Arrhenius equation for all thermally activated diffusion:
$$D = D_0 \exp{\left( - \frac{Q}{RT} \right)}$$ $$D = D_0 \exp{\left( - \frac{Q}{RT} \right)}$$
where $Q$ is the activation energy and $R$ is the ideal gas constant (8.31 J k$^{-1}$ mol$^{-1}$). where $D$ is the diffusion coefficient, $D_0$ is the frequency factor, $Q$ is the activation energy,
$R$ is the ideal gas constant (8.31 J k$^{-1}$ mol$^{-1}$).
You can find the diffusion distance, $x$, with the following equation:
$$x ~ \sqrt{Dt}$$
![](./images/vimscrot-2022-02-28T20:31:12,395307966+00:00.png)
# Materials in Sustainable Transport
- Concerns over use of fossil fuels, climate change
- Const of energy
- Energy use in making and moving vehicles
- Rising energy prices mean cost of fuel is comparable to cost of car
- 1/4 of energy used in UK is to transport goods and people
- Legislation and voluntary targets set by EU to improve fuel efficiency
- In 2015 average CO2 emmisions as 130 g / km
- Engine powerhas gone up significantly from 2001 to 2018 (~30%) yet engine displracement has gone
down ~10% and CO2 emissions down ~18% while weight has gone up ~10%
## Is the car emissions reduction target significant?
Overall CO2 emissions in 2016 is 466 Megatonnes.
Does a reduction from 130 g / km to 95 g / km (a 35 g/km reduction) make a significant difference?
There are 33 million registered cars in the uk.
If they average around 8000 miles each (~13000 km) per year that's a ~15 Megatonne reduction,
or about 3% of the annual C02 emmissions, a significant reduction.
## Materials in Cars
- Most of the energy used by cars is during driving (71%)
- This means the mass of the vehicle has a great effect on its emmissions across a lifetime
- The body, suspension, drivetrain, and interior all contribute roughly a quarter to the mass of the
car
- However, the mass of cars are increasing
### Material Substitution
- The material will likely have performance requirements:
- It may need to be a physical size
- It may need to operate at certain temperatures
- It may need to bear a certain load
- The component mustalso be designed for convenient manufacturing, assembly, servicing, disposal,
remanufacturing and/or disassembly
#### Case Study --- 2012 Honda Accord
- Body --- opted to stay with steel --- aluminium intense and multi-material approaches were both
rejected due to higher costs and limitations in manufacturing and assembly.
Recyclability was also noted as an issue due to different grades of aluminium needing to be
separated at end of life.
- Doors and bonnets --- move to aluminium from steel --- more costly but the mass savings made this
option worth it
- Wiring --- aluminium to copper --- lower mass for same conductivity, copper is more expensive
(I think)
- Seats --- steel to composites or magnesium structural components --- very high weight savings
## Choosing a Material
# Glossary # Glossary