On the completeness of solutions of Boussinesq, Timpe, Love, and Michell in axisymmetric elasticity
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OpenAlex topics: Contact Mechanics and Variational Inequalities · Advanced Mathematical Modeling in Engineering · Elasticity and Material Modeling
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References (12)
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1. M.J. Boussinesq, Applications des Potenties, Gathier-Villars, Paris (1885).
2. A. Timpe, Achsensymmertrische Deformation von Umderhungsk�rpern, ZAMM 4 (1924) 361?376.10.1002/zamm.19240040501 ↗
3. A.E.H. Love, A Treatise on the Mathematical Theory of Elasticity, 4th edn, Cambridge (1927) pp. 274?276.
4. J.H. Michell, The uniform torsion and flexure of incomplete tores, with application to helical springs, Proc. London Math. Soc. v.31 (1900) 130?146.
5. E. Sternberg, R.A. Eubanks and M.A. Sadowsky, On the stress-function approaches of Boussinesq and Timpe to the axisymmetric problem of elasticity theory, J. Appl. Phys., v.22 (1951) 1121?1124.10.1063/1.1700118 ↗
6. R.A. Eubanks and E. Sternberg: On the completeness of the Boussinesq-Papkovich stress functions, J. Rat. Mech. Anal., v.5 (1956) 735?746.
7. W. Noll, Vershiebungfunktionen f�r elastiche Schwingungsprobleme. ZAMM 37 (1957) 81?87.10.1002/zamm.19570370302 ↗
8. M.E. Gurtin, The linear theory of elasticity, Handbuch der Physik, VIa/2, Springer-Verlag, Berlin-Heidelberg-New York (1972).
9. D.E. Carlson, A note on the solutions of Boussinesq, Love and Margurerre in axisymmetric elasticity. J. Elasticity, v.13 (1983) 345?349.10.1007/BF00043001 ↗
10. R. Courant and D. Hilbert, Methods of Mathematical Physics, v.II, John Wiley (1962) pp. 374?403.
11. R. Mindlin, Note on the Galerkin and Papkovich stress functions, Bull. Amer. Math. Soc. 42 (1936) 373?376.10.1090/S0002-9904-1936-06304-4 ↗
12. M.Z. Wang, On Papkovich-Neuber and Boussinesq-Galerkin solutions in axisymmetric elasticity. J. Elasticity (in press).