The Strain Energy of a Spheroidal Inclusion and Its Application to Bcc-hcp Martensitic Transformation.

Abstract

The strain energy of a spheroidal inclusion was evaluated exactly using the Eshelby theory. Numerical results for an oblate spheroid are presented in a parametric form in terms of the transformation strain tensor. Using atomistic transformation mechanisms, the transformation strain was determined for bcc-hcp martensitic transformation in Ti and its alloys. The lattice correspondence satisfied the Burgers relationship and the c/a-ratio in the preduct phase was taken as 1.586. The habit plane was predicted on the basis of the strain energy minimization principle. Results of the calculation indicate that the strain energy is minimized when the morphology of hcp Ti martensite is a thin disc-shaped inclusion lying on a plane close to (9 9 13) sub B, in excellent agreement with experimental observations. The present approach is discussed in detail and compared with the crystallographic theory based on the invariant plane strain hypothesis. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1974
Accession Number
ADA092247

Entities

People

  • Kanji Ono
  • M. Shibata

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Agreements
  • Alloys
  • Aspect Ratio
  • Chemistry
  • Coordinate Systems
  • Crystal Structure
  • Electron Microscopy
  • Engineering
  • Free Energy
  • Geometry
  • Governments
  • Martensite
  • Metallurgy
  • Military Research
  • Rotation
  • Shape
  • United States

Readers

  • Calculus or Mathematical Analysis
  • Materials Science and Engineering.
  • Powder metallurgy of Titanium alloys.