Premium
Elastic Energy and Shape of New Phase Coherent Inclusions
Author(s) -
Khachatubyan A. G.,
Hairapetyan V. N.
Publication year - 1973
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220570239
Subject(s) - isotropy , elastic energy , dislocation , burgers vector , geometry , tension (geology) , lattice (music) , phase (matter) , isotropic solid , phase transition , materials science , condensed matter physics , physics , mechanics , optics , mathematics , classical mechanics , thermodynamics , quantum mechanics , acoustics , moment (physics)
An analysis is made of the shape of coherent inclusions of a new phase in an elastic an‐isotropic medium in dependence on the surface tension energy, the elastic medium anisetropy, and the crystal lattice rearrangement. It is shown that the internal stress energy consists of two terms if the inclusions are of plate‐like shape. The first term is proportional to the inclusion volume and the second to the length of the closed contour, which encircles the inclusion along its periphery in the habit plane. Formally the second term gives the dislocation loop energy, where the Burgers vector is the product of the plate thickness and the characteristic deformation produced by the phase transition. The minimum of this term defines the shape of the inclusion in the habit plane. A detailed analysis of the shapes in the extreme case of a small plate thickness with respect to the length is made.