The Atomic Strain Tensor

Abstract

A definition of the local atomic strain increments in three dimensions and an algorithm for computing them is presented. An arbitrary arrangement of atoms is tessellated into Delauney tetrahedra, identifying interstices, and Voronol polyhedra, identifying atomic domains. The deformation gradient increment tensor for interstitial space is obtained from the displacement increments of the corner atoms of Delaunay tetrahedra. The atomic site strain increment tensor is then obtained by finding the intersection of the Delaunay tetrahedra with the Voronol polyhedra, accumulating the individual deformation gradient contributions of the intersected Delaunay tetrahedra into the Voronol polyhedra. An example application is discussed, showing how the atomic strain clarifies the relative local atomic movement for a polymeric glass treated at the atomic level.

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Document Details

Document Type
Technical Report
Publication Date
May 31, 1991
Accession Number
ADA237287

Entities

People

  • Ali S. Morgan
  • Peter Mott
  • Ulrich W. Sutter

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Algorithms
  • Atomic Structure
  • Atoms
  • Availability
  • Carbon Carbon Composites
  • Classification
  • Composite Materials
  • Computer Programs
  • Computer Simulations
  • Computers
  • Displacement
  • Distortion
  • Ground State
  • Massachusetts
  • Simulations
  • Three Dimensional
  • Two Dimensional

Readers

  • Marine Ecotoxicology
  • Mechanical Engineering/Mechanics of Materials.
  • Quantum Chemistry

Technology Areas

  • Space