Accession Number : AD0614225

Title :   STUDIES IN THE THEORY OF A DISLOCATED CONTINUUM.

Descriptive Note : Final scientific rept.,

Corporate Author : GEORGE WASHINGTON UNIV WASHINGTON D C SCHOOL OF ENGINEERING AND APPLIED SCIENCE

Personal Author(s) : Arkilic,G. M.

Report Date : JUN 1964

Pagination or Media Count : 19

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)

Descriptors :   (*CONTINUUM MECHANICS, THEORY), (*DIFFERENTIAL GEOMETRY, CONTINUUM MECHANICS), TORQUE, TENSOR ANALYSIS, CRYSTAL DEFECTS

Distribution Statement : APPROVED FOR PUBLIC RELEASE