Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



A note on singularities in a Cosserat continuum

Author: Yechiel Weitsman
Journal: Quart. Appl. Math. 25 (1967), 213-217
DOI: https://doi.org/10.1090/qam/99901
MathSciNet review: QAM99901
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Abstract: This paper is concerned with 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.

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DOI: https://doi.org/10.1090/qam/99901
Article copyright: © Copyright 1967 American Mathematical Society

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