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Stress functions for plane problems with couple stresses. (English) Zbl 0151.36402


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[1] R. D. Mindlin,Influence of Couple-Stresses on Stress Concentrations Experimental Mechanics (January 1963), 1–7.
[2] C. Truesdell andR. A. Toupin,The Classical Field Theories, Encyclopedia of Physics, Vol. III/1, Springer, Berlin 1960. · Zbl 0094.30001
[3] G. B. Airy,On the Strains in the Interior of Beams, Phil. Trans. Roy. Soc. London153, 49–80 (1863). · ERAM 062.1610cj
[4] R. Courant,Differential and Integral Calculus, Vol. II, Interscience, New York 1936. · JFM 62.1165.04
[5] W. Günther,Zur Statik und Kinematik des Cosseratschen Kontinuums, Abh. Braunschweig. Wiss. Ges.10, 195–213 (1958). · Zbl 0102.17302
[6] D. E. Carlson,On Günther’s Stress Functions for Couple Stresses, to appear. · Zbl 0158.21402
[7] J. H. Michell,On the Direct Determination of Stress in an Elastic Solid, with Application to the Theory of Plates, Proc. London Math. Soc.31, 100–124 (1899). · JFM 30.0720.01
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