STUDIES IN THE THEORY OF A DISLOCATED CONTINUUM.
Final scientific rept.,
GEORGE WASHINGTON UNIV WASHINGTON D C SCHOOL OF ENGINEERING AND APPLIED SCIENCE
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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