Transformations - Kinetics Flashcards
What equation gives the rate of diffusion?
D = D_0 exp(-Q/RT)
What is a metastable phase?
A non-equilibrium phase that only exists because the rate of diffusion is low
Define recrystallisation
The generation of a new grain structure at high temperature drive by a reduction in dislocation density
What is recrystallisation often used for?
Softening work-hardened alloys; can also be used to improve strength and ductility if small grains produced
Describe and epxlain a plot of fraction recrystallised against the logarithm of time for a recrystallisation process
A sigmoid graph - initially there are few new grains, and these are very small. As the process continues, these grains grow and consume old grains more quickly - additionally, new grains are continuing to nucleate. Eventually the new grains run out of old grains and the rate of recrystallisation decreases; however, grain size continues to grow.
What is the Avrami equation and what does it describe?
It describes the fraction of new grains formed as a function of time: X = 1 - exp(-kt^n)
What is recrystallisation time?
The time needed to accomplish some arbitrary fraction of recrystallisation (typically 50%) at a given temperature
What equation describes recrystallisation time at a given temperature?
The Arrhenius equation: Aexp(Q/RT)
How recrystallisation time and rate related?
They reciprocals of one another
What is recrystallisation temperature?
The temperature required to achieve some fraction of recrystallisation in some arbitrary time
What factors influence recrystallisation temperature?
Degree of work hardening
Solute content
Particles (i.e. from precipitate strengthening)
What is undercooling?
Bringing a material’s temperature beneath its solidification temperature
Why is undercooling important for phase transformations, if the rate of diffusion is lower for lower temperatures?
Undercooling provides the driving force for the transformation - the maximum transformation rate is typically seen at some compromise between diffusion rate and subcooling
Why are large grains undesirable?
They have a produce a lower grain boundary surface area (reducing strength) and cracks can follow their boundaries (prone to fracture)
What does time-temperature transformation plot depict?
Fraction of material transformed on temperature-against-time axes