Local Stability of Imperfect Anharmonic Lattice Systems: Cell-Cluster Analysis of Lattice with Coincidence Boundaries.

Abstract

A cell-cluster analysis is described for a system of interacting rigid disks on a close-packed lattice containing a coincidence boundary. The relative stability of this system is compared to the defect-free hexagonal lattice. Through second order the authors have obtained a linearized polytope bound to Q2. The complexity of the lattice subfigures precludes carrying the analysis beyond second order. It is suggested that near close packing a coincidence boundary may locally stabilize a lattice. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1971
Accession Number
AD0885888

Entities

People

  • C. Grant Miller
  • Russell D. Larsen

Organizations

  • Illinois Institute of Technology

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Chemical Compounds
  • Embrittlement
  • Liquid Metals
  • Liquids
  • Sensitivity

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Graph Algorithms and Convex Optimization.
  • Materials Science and Engineering.