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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
Full-text PDF Free Access
Abstract | References | Additional Information
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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E. and F. Cosserat, Théorie des corps deformables, Hermann, Paris, 1909
R. D. Mindlin, Stress functions for a Cosserat continuum, Int. J. Solids Structures, 1, 265–271 (1965)
- A. E. H. Love, A treatise on the Mathematical Theory of Elasticity, Dover Publications, New York, 1944. Fourth Ed. MR 0010851
- R. D. Mindlin and H. F. Tiersten, Effects of couple-stresses in linear elasticity, Arch. Rational Mech. Anal. 11 (1962), 415–448. MR 144513, DOI https://doi.org/10.1007/BF00253946
Additional Information
Article copyright:
© Copyright 1967
American Mathematical Society