Calculation of habit planes for elastic transformations by minimization of their elastic strain energy

Journal Article · Sat May 01 04:00:00 EDT 1976 · Metall. Trans., A; (United States)

DOI:https://doi.org/10.1007/BF03186805· OSTI ID:6791020

Clarke, D R

By using Eshelby's method for the determination of the stresses and strains generated in a transformation, the shape and orientation of an ellipsoidal region of transformed phase that minimizes the elastic strain energy accompanying the transformation are calculated together with the change in elastic strain energy. The orientation of minimum total energy describes the habit plane. The applicability of the approach is demonstrated by showing that the habit planes of twins in cubic crystals, and martensitic plates in In-20 percent Tl and Fe-31 percent Ni, which have been calculated by other methods, can alternatively be determined by this method. It is then used to calculate that the habit plane for martensitic plates in bulk, high density, oriented orthorhombic polyethylene should be (-4.67,1,0). As a consequence of these calculations it is shown that minimization of the total elastic strain energy must be the dominating factor in the nucleation event of transformed products in most metals.

• Research Organization: Univ. of California, Berkeley
• OSTI ID: 6791020
• Journal Information: Metall. Trans., A; (United States), Journal Name: Metall. Trans., A; (United States) Vol. 7; ISSN MTTAB
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
360102* -- Metals & Alloys-- Structure & Phase Studies
ALLOYS
CRYSTAL-PHASE TRANSFORMATIONS
ELASTICITY
INDIUM ALLOYS
IRON ALLOYS
MATHEMATICAL MODELS
MECHANICAL PROPERTIES
NICKEL ALLOYS
PHASE TRANSFORMATIONS
STRAINS
STRESSES
TELLURIUM ALLOYS
TENSILE PROPERTIES