Note on the Boussinesq-Papkovich stress-functions
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OpenAlex topics: Elasticity and Material Modeling · Advanced Mathematical Modeling in Engineering · Elasticity and Wave Propagation
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References (7)
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1. J.Boussinesq, Application des potentiels à l'étude de l'équilibre et du mouvement des solides élastiques, Gauthiers-Villars, Paris, 1885.
2. A. E.Green and W.Zerna, Theoretical Elasticity, 2nd ed. Clarendon Press, Oxford, Engl. (1968).
3. P. F. Papkovich, The representation of the general integral of the fundamental equations of elasticity theory in terms of harmonic functions (in Russian). Izvestiya Akademii Nauk SSR, Physics-Math. Series, 10 (1932) p. 1425.
4. H. Neuber, Ein neuer Ansatz zur Lösung räumlicher Probleme der Elastizitätstheorie. Z. Angew. Math. Mech., 14 (1943) p. 203.10.1002/zamm.19340140404 ↗
5. R. A. Eubanks and E. Sternberg, On the completeness of the Boussinesq-Papkovich Stress Functions. J. Rat. Mech. Anal., 5 (1956) p. 735.10.1512/iumj.1956.5.55027 ↗
6. J. B. Alblas, Theorie van de driedimensionale spannings-toestand in een doorboorde plaat (Three-dimensional state of stress in a plate with a circular hole). Thesis Delft University of Technology, 1957.
7. T. R.Thomson and R. W.Little, End effects in a truncated semi-infinite cone. Quart. Journ. Mech. and Appl. Math., Vol. 23 (2), (1970) pp. 185?196.10.1093/qjmam/23.2.185 ↗