A simplified derivation of Kolosov's theorem of the complex formulation of plane elasticity
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OpenAlex topics: Dynamics and Control of Mechanical Systems
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References (7)
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1. Kolosov, G. V.,On an application of the theory of complexfunctions to the plane problem of the mathematical theory of elasticity. Doctoral dissertation, University of Dorpat (Yur'ev), 1909 (In Russian)
2. Musschelischwili, N. I.,Einige Grundaufgaben zur mathematischen Elastizitätstheorie. Leipzig 1971 (Translation of the 5th Russ. ed., Moscow, 1966)
3. Sokolnikoff, I. S.,Mathematical Theory of Elasticity. 2nd ed. New York/Toronto/London 1956
4. Timoshenko, S. P., Goodier, J. N.,Theory of Elasticity. 3rd ed. New York/etc. 197010.1115/1.3408648 ↗
5. Gurtin, M. E.,The Linear Theory of Elasticity. In: FlÜgge, S.; Truesdell, C. (Edits.): Encyclopedia of Physics. Vol. VIa/2. Mechanics of Solids II. Berlin/Heidelberg/New York 1972
6. Thomson, W., Note on the Integration of the Equations of Equilibrium of an Elastic Solid. Cambr. DublinMath. J. 3 (1848) 87?89 (Repr. in: Kelvin's Collected Mathematical and Physical Papers. Vol. I, p. 97?99. Cambridge, 1882)
7. Todhunter, I., Pearson, K.,A History of the Theory of Elasticity and of the Strength of Materials from Galilei to Lord Kelvin. Vol. II, pt. 2. Cambridge 1893 (Reprinted by Dover Publications, New York 1960)