One-Dimensional Structured Phase Transformations under Prescribed Loads.

Abstract

The authors consider a one-dimensional elastic bar acted on by end loads. To allow for the possibility of phase transitions they consider a stored-energy function of the form W(gamma) + epsilon sub 2(gamma')sub 2 with W(gamma) a nonconvex function of strain gamma, a function of the type capable of supporting two-phases. The term involving the strain gradient gamma, is added to model the region of rapidly varying strain in the vicinity of a phase transition. It is shown that this problem has smooth solutions which, for epsilon small, correspond to the single-phase and two-phase solutions of the problem with epsilon = O. It is shown further that the only stable solutions of this problem are the single-phase solutions gamma = constant. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1983
Accession Number
ADA132807

Entities

People

  • Jack Carr
  • Marshall Slemrod
  • Morton E. Gurtin

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Constitutive Equations
  • Contracts
  • Crystal Lattices
  • Crystal Structure
  • Differential Equations
  • Elastic Properties
  • Energy
  • Equations
  • Equations Of State
  • Mathematics
  • Phase Diagrams
  • Phase Transformations
  • Scientific Research
  • Transitions
  • United States
  • United States Government

Readers

  • Materials Science and Engineering.
  • Mechanical Engineering/Mechanics of Materials.
  • Operations Research