Martensite crystallography and elastic-stiffness coefficients
Abstract
We considered the effect of the elastic-stiffness coefficients on the martensite crystallographic features, especially the habit plane. We approached the problem with an elastic-energy-minimization inclusion model. As shown previously, this model agrees exactly with the WLR-BM invariant-plane-strain theories when elastic stiffness is neglected and strain energy equals zero. As a first example, we considered the large-strain Fe-31Ni (fcc to bcc) transformation. Second, we considered a small-strain example: In-23Ti (fcc to fct). Finally, we considered the A15 compound Nb3Sn (bcc to bct), which shows soft-mode behavior during cooling, where the C'= (C_{11}-C_{12}/2 elastic stiffness essentially vanishes, leading to a near-zero shear modulus. All three cases yielded the same result: the habit plane shows no response to elastic softening or stiffening.
- Publication:
-
Journal de Physique IV
- Pub Date:
- October 2003
- DOI:
- 10.1051/jp4:2003868
- Bibcode:
- 2003JPhy4.112..213L