Three-Dimensional Elastic Compatibility and Varieties of Twins in Martensites
Journal Article
·
· Physical Review Letters
We model a cubic-to-tetragonal martensitic transition by a Ginzburg-Landau free energy in the symmetric strain tensor. We show in three dimensions (3D) that solving the St.Venant compatibility relations for strain, treated as independent field equations, generates three anisotropic long-range potentials between the two order parameter components. These potentials encode 3D discrete symmetries, express the energetics of lattice integrity, and determine 3D textures. Simulation predictions include twins with temperature-varying orientation, helical twins, competing metastable states, and compatibility-induced elastic frustration. Our approach also applies to improper ferroelastics.
- Research Organization:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Organization:
- (US)
- DOE Contract Number:
- W-7405-ENG-36
- OSTI ID:
- 40277278
- Journal Information:
- Physical Review Letters, Vol. 87, Issue 5; Other Information: DOI: 10.1103/PhysRevLett.87.055704; Othernumber: PRLTAO000087000005055704000001; 004132PRL; PBD: 30 Jul 2001; ISSN 0031-9007
- Publisher:
- The American Physical Society
- Country of Publication:
- United States
- Language:
- English
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