
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 doubleforces 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 macrodisplacements are eliminated altogether, resulting in a singular field of microrotations 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