Part 1 – Data Analysis Plot Dilatometer vs Temperature Identify 1 and 2 Phase Regions Find a Linear Equation for Each 1 Phase Field

Part 1 – Data Analysis

Plot Dilatometer vs Temperature

Plot Dilatometer vs Temperature

Identify 1 and 2 Phase Regions

Identify 1 and 2 Phase Regions

Find a Linear Equation for Each 1 Phase Field

Find a Linear Equation for Each 1 Phase Field

Calculate the Fraction Transformed

Calculate the Fraction Transformed

Plot Fraction Transformed vs Temperature

Plot Fraction Transformed vs Temperature

Plot ln(b) 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.

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Part 2: Modelling

Instructions

Determine the cooling rate from the data

  • 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)
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