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Phenomenological Theory of Martensite Crystallography (PTMC) implementation

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PTMC

Phenomenological Theory of Martensite Crystallography implementation according to Bowles and Mackenzie

[J.S. Bowles, J.K. Mackenzie, Acta Metall. 2 (1954) 138–147]

Example 1

This example covers the case of the fcc to bcc martensitic transformation in steel that was covered in Harry Bhadeshia's monograph Bhadeshia, H. K. D. H. (1991). Worked Examples in the Geometry of Crystals, Second edition from page 57 forward.

The results can be reproduced by following few simple steps:

  • Run the main file
  • Choose "Fe-gamma_Bhadeshia_1991.cif" as the input structure for the parent phase
  • Choose "Fe-alphaP_Bhadeshia_1991.cif" as the input structure for the daughter phase
  • Use the default lattice correspondance matrix bCa:
1 -1 0
1 1 0
0 0 1
  • Choose Dislocation slip LIS as the lattice invariant shear mechanism
  • Set the LIS plane to 1 0 1 and the LIS direction to 1 0 -1
  • Retrieve the results in the command window and compare with the results in Bhadeshia's monograph

Example 2

This example covers the case of the fcc to orthorhombic martensitic transformation in a Ti - 20at.% Nb shape memory alloy that was covered by Chai et al. Chai, Y. W., Kim, H. Y., Hosoda, H. & Miyazaki, S. (2009). Acta Mater. 57, 4054–4064 in Table 2.

The results can be reproduced by following few simple steps:

  • Run the main file
  • Choose "Ti-beta_ChaiEtAl_ActaMaterialia_2009.cif" as the input structure for the parent phase
  • Choose "Ti-alphaDP_ChaiEtAl_ActaMaterialia_2009.cif" as the input structure for the daughter phase
  • Use the default lattice correspondance matrix bCa:
1 0 0
0 0.5 -0.5
0 0.5 0.5
  • Choose Twinning LIS as the lattice invariant shear mechanism
  • Set the LIS plane to 1 1 1
  • Retrieve the results in the command window and compare with the results in Bhadeshia's monograph