Accession Number : AD0478020

Title :   A NOTE ON SINGULARITIES IN A COSSERAT CONTINUUM.

Descriptive Note : Technical rept.,

Corporate Author : PENNSYLVANIA STATE UNIV UNIVERSITY PARK DEPT OF ENGINEERING MECHANICS

Personal Author(s) : Weitsman,Yechiel

Report Date : FEB 1966

Pagination or Media Count : 14

Abstract : Consideration is given to the singularities that are due to concentrated couples in an infinite linear, elastic, isotropic Cosserat continuum. The solution to the problem of a concentrated couple, acting within an infinite region, may be obtained as a limiting case of the solution to the problem of body moments acting within a finite portion of the infinite medium. Alternatively, the solution to the problem of the concentrated couple can be constructed from the solution to the case of a concentrated force acting within an infinite body, by combining two double-forces with moments to form a center of rotation. In a Cosserat continuum the two abovementioned singular solutions to the case of a concentrated couple, acting within the infinite body, are not the same. In a special case, it is possible to find a linear combination of these distinct singular solutions in which the macro-displacements are eliminated altogether, resulting in a singular field of micro-rotations alone. (Author)

Descriptors :   (*ELASTIC PROPERTIES, *MECHANICS), CONTINUUM MECHANICS, DEFORMATION, STRESSES, FORCE(MECHANICS), MOMENTS, EQUATIONS OF MOTION, ROTATION, MATHEMATICAL ANALYSIS, VECTOR ANALYSIS, EQUATIONS

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE