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Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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

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Stress functions for couple and dipolar stresses


Author: D. E. Carlson
Journal: Quart. Appl. Math. 24 (1966), 29-35
DOI: https://doi.org/10.1090/qam/99933
MathSciNet review: QAM99933
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References | Additional Information

References [Enhancements On Off] (What's this?)

    E. and F. Cosserat, Théorie des Corps Déformables, A. Hermann, Paris, 1909
  • Hermann Schaefer, Die Spannungsfunktionen des dreidimensionalen Kontinuums und des elastischen Körpers, Z. Angew. Math. Mech. 33 (1953), 356–362 (German, with English, French and Russian summaries). MR 59144, DOI https://doi.org/10.1002/zamm.19530331006
    • W. Günther, Zur Statik und Kinematik des Cosseratschen Kontinuums, Abh. Braunschweig. Wiss. Ges. 10 (1958), 195–213 R. Courant, Partial differential equations (Vol. 2 of Methods of mathematical physics by R. Courant and D. Hilbert), Interseience, New York, 1962
  • M. E. Gurtin, A generalization of the Beltrami stress functions in continuum mechanics, Arch. Rational Mech. Anal. 13 (1963), 321–329. MR 153154, DOI https://doi.org/10.1007/BF01262700
  • A. E. Green and R. S. Rivlin, Simple force and stress multipoles, Arch. Rational Mech. Anal. 16 (1964), 325–353. MR 182191, DOI https://doi.org/10.1007/BF00281725

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Article copyright: © Copyright 1966 American Mathematical Society

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