physicsss said:
Also, I don't understand what diffusion of concentration gradient is and what is the difference between toughness and strength. Is toughness also the hardness(stiffness)?
There was a thread while ago where these differences in toughness/ductility and strength were addressed in some detail:
https://www.physicsforums.com/showthread.php?t=59152
#7 over there has how I perceive this, as Gokul stated toughness and strength are very different things (although some very workable relations and correlations can be identified). Overall one could say that toughness is an energy related parameter, while strength is coupled with deformation.
Actually the issues are addressed from a similar angle also here :
https://www.physicsforums.com/showthread.php?t=54157
Hardness is essentially a measure how a material is able to resist plastic deformation (think about typical hardness tests where a small sharp indenter is pushed into a material) and as such correlates to some extent both with strength and toughness, best however to tensile strength (since it is the only similar typical material characteristic available).
Stiffness then again is typically reserved to contain both structural and material "stiffness" elements, i.e. the Young's modulus of a material (if we limit ourselves to linear-elastic behavior) and structural stiffness (think for example different beam cross-section under bending) ... which when put together form what we typically understand as (structural) stiffness.
People have typically very differing views about what they perceive as toughness, ductility, strength, hardness etc., so in general quite a bit of care is required in order not to mix anything (and somewhat case dependently different definitions may be correct, or better applicable).
Diffusion of concentration gradient ... well a concentration gradient does change via diffusion, and the presence of a concentration gradient is overall important in diffusion processes ... are you looking for definitions related to diffusion or something else?
physicsss said:
Can you explain to me how come as you lower the temperature on a isothermal transformation diagram for a eutectoid plain-carbon steel, you get finer and finer microstructures? Like you get as you lower it from coarse pearlite to fine pearlite to the finest bainite?
I'd go with Gokul's explanation on this one ... at high temperatures (= near the austenite transformation temperature) the nucleation rate is low, whilst the grain growth rate is high and vise versa at low temperatures. The resulting structures will then have characteristics which have resulted either from nucleation or growth dominated transformation processes (thinking about the extremes of ferrite - pearlite structures for example). So it is to great extent a matter of temperature dependency of diffusion and the greater driving force for nucleation the lower the temperature (the higher the undercooling).
There was some structured some here :
http://mse-pma1.eng.ohio-state.edu/~peterand/mse205/chapter10/chp10.pdf
Overall I prefer continuous cooling transformation diagrams over isothermal ones ... more practical, don't have to think about the constant temperature thing.