Continuum Models for Irregular Phase Boundary Motion in Shape-Memory Tensile Bars

Abstract

We consider quasi-static displacement-control led loading through one stress cycle of a shape-memory tensile bar modeled as a one-dimensional, two-phase elastic solid. Our objective is to explore the effect on the associated hysteresis loop of various qualitatively different types of kinetic relations, bearing in mind certain features of such loops that have been observed experimentally. We show that when the model involves a kinetic relation that is 'unstable' in a definite sense, 'stick-slip' motion of the interface between phases and serration of the accompanying stress-elongation curve are both predicted at slow elongation rates. We also show that a 'nonhomogeneous' kinetic relation intended to model the effect of micro-obstacles on interface motion also leads to irregular interface motion and a serrated stress-elongation curve, in this case at all elongation rates.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1997
Accession Number
ADA332658

Entities

People

  • James K. Knowles
  • Phoebus Rosakis

Organizations

  • Cornell University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Differential Equations
  • Displacement
  • Elastic Materials
  • Elongation
  • Equations
  • Free Energy
  • Kinetics
  • Materials
  • Materials Science
  • Mechanics
  • Nucleation
  • Phase Transformations
  • Physics
  • Shape
  • Single Crystals
  • Stress Strain Relations
  • Unloading

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Robotics and Automation.
  • Structural Dynamics.