How Does the Cooling Curve of a 40 wt% Ag Alloy Look on the Ag-Cu Phase Diagram?

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SUMMARY

The discussion centers on the equilibrium cooling curve of a 40 wt% Ag alloy as it transitions from liquid to solid between 1200°C and 200°C, specifically referencing the Ag-Cu phase diagram. The cooling process involves the alloy solidifying at the liquidus line, with alpha phase accumulation until reaching the eutectic tie line, where the last liquid solidifies into a mixture of alpha and beta phases. The cooling curve is characterized by a thermal arrest at the eutectic point, where the composition is fixed. A reference website provides a visual representation of the cooling curve for binary eutectic systems.

PREREQUISITES
  • Understanding of phase diagrams, specifically the Ag-Cu phase diagram.
  • Knowledge of liquidus and solidus lines in alloy systems.
  • Familiarity with eutectic points and tie lines in metallurgy.
  • Basic principles of thermal arrest during phase transitions.
NEXT STEPS
  • Study the Ag-Cu phase diagram in detail to understand phase transitions.
  • Learn about the construction and interpretation of cooling curves for binary alloys.
  • Investigate the effects of varying compositions on cooling curves in eutectic systems.
  • Explore the concept of thermal arrest and its implications in solidification processes.
USEFUL FOR

Materials scientists, metallurgists, and students studying phase diagrams and solidification processes in alloy systems will benefit from this discussion.

vigintitres
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Homework Statement


Describe equilibrium cooling from 1200 C to 200 C of an alloy containing 40 wt% Ag. Draw the schematic equilibrium cooling curve

The Attempt at a Solution



Alloy begins as a liquid, begins to solidify as temperature reaches the liquidus line; alpha accumulates and the liquid slides down the liquidus line and the composition of alpha slides down the solidus line until they both reach the eutectic tie line where the last liquid has to solidify, the alpha is already solid but the liquid is coming toward the eutectic point and it has to solidify there. The liquid transforms into some alpha and some beta and there is a thermal arrest until it all solidifies.....

now, I don't know exactly what happens. To be more specific, I am wondering exactly how that cooling curve would look because I'm confused as to how the phases travel around the phase diagram given a specific composition and being cooled... Starting with the liquid alloy, as it cools, I know that the equilibrium alpha + Liquid two phase field can be considered "empty" - meaning nothing is in there (at least that's what my prof. said), so does the liquid actually travel down the liquidus line, hit the eutectic point of equilibrium, the travel back to the left (in the Ag - Cu phase diagram case) along the eutectic tie line, until it regains its original 40-60 composition? Because at the eutectic point, the composition is predetermined... :confused:
 
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Hi. I found help for the cooling curve at this web-site:

http://www.doitpoms.ac.uk/tlplib/phase-diagrams/printall.php

About midway down, there is a graph with the cooling curve. For our binary eutectic problem, I believe all of the cooling curves would look like what is on that web-page. Would you happen to be taking ME 311 right now at UT. We have that same question for hw.
 

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