Physics – Condensed Matter – Materials Science
Scientific paper
2000-01-28
Phys. Rev. Lett. 87, 055704 (2001)
Physics
Condensed Matter
Materials Science
Scientific paper
10.1103/PhysRevLett.87.055704
We show how the St.Venant compatibility relations for strain in three dimensions lead to twinning for the cubic to tetragonal transition in martensitic materials within a Ginzburg-Landau model in terms of the six components of the symmetric strain tensor. The compatibility constraints generate an anisotropic long-range interaction in the order parameter (deviatoric strain) components. In contrast to two dimensions, the free energy is characterized by a "landscape" of competing metastable states. We find a variety of textures, which result from the elastic frustration due to the effects of compatibility. Our results are also applicable to structural phase transitions in improper ferroelastics such as ferroelectrics and magnetoelastics, where strain acts as a secondary order parameter.
Albers Robert C.
Bishop Alan R.
Lookman Turab
Rasmussen Kim Ø.
Saxena Avadh
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