STUDIES IN THE THEORY OF A DISLOCATED CONTINUUM.

Abstract

In this report, by using curvilinear and anhalonomic coordinate systems, the most general forms of linear coefficients of connexions, and expressions for torsion and curvature are represented. These are the basic quantities that relate non-Riemannian spaces of differential geometry to the theory of dislocated continuum. By these special choice of coordinates, it was possible to obtain some quantities which could not have been retained in less general systems. However, in order to see physical significance and to check the validity of these equations time to time special cases are introduced. The significance of this approach is expected to be more pronounced as investigations are extended into the fields of stresses and displacements. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1964
Accession Number
AD0614225

Entities

People

  • G. M. Arkilic

Organizations

  • George Washington University

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Coordinate Systems
  • Curvature
  • Differential Geometry
  • Displacement
  • Equations
  • Geometric Forms
  • Geometry
  • Lines (Geometry)
  • Mathematics

Readers

  • Calculus or Mathematical Analysis

Technology Areas

  • Space