Martensitic Phase Transitions with Surface Effects

Abstract

A model of martensitic phase transitions is presented that is capable of accounting for a variety of surface effects associated with the localized interaction of coexisting phases of a material. Such phenomena are thought to play a critical role in determining the size, shape and stability of nucleated embryos as well as to affect the conditions under which nucleation occurs. Attention is restricted to transitions that are mechanically induced, and the model can not account for temperature effects. Materials that undergo martensitic phase changes are modeled as hyperelastic in both the bulk and the interface. The characterization of such bodies is examined in detail, and a representation theorem is presented for isotropic, hyperelastic interfaces in terms of two scalar invariants associated with the deformation of the interface.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1992
Accession Number
ADA262886

Entities

People

  • Mark T. Lusk

Organizations

  • California Institute of Technology

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Classification
  • Curvature
  • Equations
  • Hyperelastic Materials
  • Linear Momentum
  • Materials
  • Materials Science
  • Military Research
  • Momentum
  • Phase Transformations
  • Scalar Functions
  • Security
  • Surface Energy
  • Surface Properties
  • Surface Transportation
  • Transition Temperature
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Powder metallurgy of Titanium alloys.
  • Structural Dynamics.