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:

1966-02-01

Pagination or Media Count:

14.0

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