Evolving Phase Boundaries in Deformable Continua,

Abstract

Recently, Gurtin and Struthers 2 developed a dynamical theory of phase transitions in crystal-crystal systems in which the interface is sharp, coherent, and endowed with energy, entropy, and superficial force. A fundamental conceptual ingredient of the theory is the use of three force systems: deformational forces that act in response to the motion of material points; accretive forces that act within the crystal lattice to drive the crystallization process; attachment forces associated with the attachment and release of atoms as they are exchanged between phases. Here I will discuss the main results of the theory, which are constitutive equations and balance laws for the interface.

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1992
Accession Number
ADP006617

Entities

People

  • Morton E. Gurtin

Organizations

  • Carnegie Mellon University

Tags

DTIC Thesaurus Topics

  • Applied Mathematics
  • Attachment
  • Constitutive Equations
  • Crystal Lattices
  • Crystallization
  • Crystals
  • Equations
  • Equations Of State
  • Mathematics
  • Phase Transformations
  • Transitions

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Materials Science and Engineering.
  • Systems Analysis and Design