| Abstrakt: |
The purpose of this work is to analyze the relationship between the architecture of self-accommodation complexes (SACs) and the lattice syngony of martensite crystals. Self-accommodation complexes consist of a set of pairwise twinned domains, martensite crystals, which are crystallographically equivalent variants of the orientation relationship between austenite and martensite lattices. The simplest SACs for tetragonal, orthorhombic, rhombohedral, and monoclinic distortions of the cubic austenite lattice are calculated. It is shown that complete self-accommodation is possible only in complexes containing all variants of the orientation relationship simultaneously. The problem of the external faceting of the complexes is discussed. The reason for the formation of SACs is the minimization of elastic energy, i.e., the faceting is regulated by the energy of the interphase boundary. On the other hand, if the external surface of a SAC is a polyhedron, its symmetry should fit into the anisotropy of elastic properties of austenite. From symmetry considerations, it is clear that the polyhedron should be regular and have the same symmetry elements as the cubic lattice of austenite, and the symmetry axes of the cubic lattice of austenite should coincide with the symmetry axes of the polyhedron. Such polyhedrons are some of Platonic and Archimedean solids with axes of symmetry of the second, third, and fourth orders. A number of examples calculated in the article confirm the possibility of the existence of complexes in the form of these polyhedrons. [ABSTRACT FROM AUTHOR] |
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