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A NOTE ON SINGULARITIES IN A COSSERAT CONTINUUM.
PENNSYLVANIA STATE UNIV UNIVERSITY PARK DEPT OF ENGINEERING MECHANICS
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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
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