MS2016: Solve the Constants for the Equation: ln(b) = m T + k: Phase Transformation and Kinetics Assignment, NTU,, Singapore

Part 1 – Data Analysis

Plot Dilatometer vs Temperature

Identify 1 and 2 Phase Regions

Find a Linear Equation for Each 1 Phase Field

Calculate the Fraction Transformed

Plot Fraction Transformed vs Temperature

Plot ln(b) vs Temperature

• Solve the constants for the equation: ln(b) = m T + k
• The resulting equation is the rate parameter “b” as a function of temperature.

Part 2: Modelling

Instructions

• Determine the cooling rate from the data.
• Develop a table as indicated on the left.
• The time increases with the time stamp, which you should determine as reasonable for your model. It should give you 100-200 points through the transformation range at least.
• The temperature can be calculated based on the cooling rate and the time step. The first value of temperature is where you start your model.
• The rate parameter can be calculated from the equation you found.
• dX/dt can be calculated with the rate parameter.
• The fraction transformed can be calculated as:
  X1= X0 + dX/dt (t1-t0)