Transitions, Defects, and Whiskered Microstructures.

Abstract

James and Kinderlehrer have given a new theory of magnetostriction. The theory shows excellent agreement with experiment and has motivated new experiments on the relation between domain structure and behavior by Lord and by DeGraef. The theory implies a new mechanism for magnetostriction in Tb(x)Dy(1-x)Fe2 (x near 0.3). It also strongly suggests the existence of materials (termed "magnetomemory" materials by the authors) that would have magnetostrictive strain that is two orders of magnitude larger than the largest produced by current giant magnetostrictive materials. Luskin and his research group have developed an advanced computational model for the dynamics of crystals which undergo a martensitic transformation. They have used this model to compute the development of martensitic microstructure and the propagation of the interface separating the austenitic phase from the martensitic phase, and they have obtained results for the influence of the surface energy and the viscosity on the dynamics. James, Kinderlehrer, Luskin and their collaborators have studied new mechanisms for hysteresis, and have clarified the role of elastic incompatibility, shuffling, kinetics, and microstructure. jg

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Document Details

Document Type
Technical Report
Publication Date
Feb 15, 1995
Accession Number
ADA292796

Entities

People

  • David Kinderlehrer
  • Mitchell Luskin
  • Richard G James

Organizations

  • University of Minnesota

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Applied Mathematics
  • Calculus Of Variations
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Differential Equations
  • Energy
  • Equations
  • Finite Element Analysis
  • Fluid Mechanics
  • Materials
  • Materials Science
  • Mathematics
  • Mechanics
  • Numerical Analysis
  • Phase Transformations
  • Surface Energy

Readers

  • Materials Science and Engineering.