The lattice deformation in the martensitic transformation in steel is the conversion of the lattice form from the
fcc to the
bcc structure by a certain mechanism including planar atomic displacements such as by a uniform lattice shear or dislocation motion and axial expansions and contractions. Based upon the main inter-planar displacement along the (111)
f or (101)
b plane and the [11\bar2]
f or [10\bar1]
b direction, the lattice transform from
fcc to
bcc is dealt with by using a simple mathematical expression which can commonly treat the
fcc,
hcp,
bcc, and their stacking modification structures and, at the same time, can comprehend various lattice transformation mechanisms so far proposed. The expression consists of the deformation operators and the stacking sequence matrices, both of which are measured in the units of the displacement vector,
a⁄12·〈112〉
f. For instance, the Kurdjumov-Sachs or Nishiyama mechanism is expressed by [2]
f[
1+][
D]=[3]
b, where [2]
f represents the ABCABC… stacking structure of
fcc, [
1+] means the deformation operator corresponding to the first shear of 19°28
′ along (111)
f and [11\bar2]
f, [
D] corresponds to other deformations by the axial expansion, contraction or small shear of another kind which are necessary to reach the
bcc lattice dimensions and symmetry, and the final transform, [3]
b is the AbAbAb… stacking sequence of (101)
b in the
bcc structure.
By means of the mathematical treatment such as above, all possible transformation paths from
fcc to
bcc, which include any of the uniform shear, regular motions of half dislocations and shuffling, are searched, and it is concluded that only three paths are allowed. They are the K-S or N mechanism, Venables’ mechanism through the
hcp structure, and a new mechanism through a six stacking layer structure proposed by the author. Furthermore, the above three mechanisms are carefully examined and discussed by taking account of the transition of positions of the interstitial carbon atoms during the transformation, the experimental evidence for the appearence of the intermediate phases, and their structural stabilities, especially in regard to the new six-layer structure.
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