Continuum Modeling of Materials that Can Undergo Martensitic Phase Transitions

Abstract

In this paper, a continuum model for materials that can undergo martensitic phase transformations is developed and applied to the study of several problems that involve such transformations. Among other things, the continuum model that is developed provides the correct material symmetry group for each phase of the material, and results in the corresponding boundary value problem being in a form that permit direct linearization, while still retaining finite shape deformations for the martensite phases. All of the problems that this continuum model is applied to in this paper deal with the issue of which phase or which variant of martensite is preferred during the growth process when a boundary traction is applied. Among these problems are the case of a uniaxial tensile traction applied to a cylindrical body, and the case of a hydrostatic pressure applied to a material that has a finite shape deformation with an infinitesimal dilatation.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1993
Accession Number
ADA268767

Entities

People

  • Jim M. Restuccio

Organizations

  • California Institute of Technology

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Angular Momentum
  • Boundary Value Problems
  • Constitutive Equations
  • Crystal Lattices
  • Crystal Structure
  • Crystals
  • Cylindrical Bodies
  • Elastic Materials
  • Elastic Properties
  • Energy
  • Equations
  • High Temperature
  • Hydrostatic Pressure
  • Iron Alloys
  • Linear Momentum
  • Materials
  • Phase Transformations

Fields of Study

  • Mathematics

Readers

  • Mechanical Engineering/Mechanics of Materials.
  • Metallurgy
  • Plasma Physics / Magnetohydrodynamics