On saint-venant’s problem for an inhomogeneous, anisotropic cylinder-part i: Methodology for saint-venant solutions

Journal of Applied Mechanics, Transactions ASME

Volumn 68, Issue 3, 2001, Pages 376-381

  Dong, S B ^a   Kosmatka, J B ^b   Lin, H C ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 13544253927     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.1363598     Document Type: Article

References (14)

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2. de Saint-Venant, A. J. C. B., 1856, “Memoire sur la Flexion des Prismes,” J. Math. de Liouville, Ser. II, 1, pp. 89-189.
3. Clebsch, 1862.
4. Voigt, W., 1887, “Theoretische Studienuber die Elasticitatsverhaltnisse der Krystalle,” Gott. Abhandl., 34, pp. 53-153
5. Sternberg, E., and Knowles, J. K., 1966, “Minimum Energy Characterizations of Saint-Venant’s Solution to the Relaxed Saint-Venant Problem,” Arch. Ration. Mech. Anal., 21, No. 2, pp. 89-107.
6. Iesan, D., 1986, “On Saint-Venant’s Problem,” Arch. Ration. Mech. Anal., 91, pp. 363-373.
7. Kosmatka, J. B., Lin, H. C., and Dong, S. B., 2001, “On Saint-Venant’s Problem for an Inhomogeneous, Anisotropic Cylinder, Part II: Cross-Sectional Properties,” ASME J. Appl. Mech., 68
8. Lin, H. C., Dong, S. B., and Kosmatka, J. B., 2001, “On Saint-Venant’s Problem for an Inhomogeneous, Anisotropic Cylinder-Part III: End Effects,” ASME J. Appl. Mech., 68
9. Kazic, M., and Dong, S. B., 1990, “Analysis of Restrained Torsion,” J. Eng. Mech., 116, No. 4, pp. 870-891.
10. Kosmatka, J. B., and Dong, S. B., 1991, “Saint-Venant Solutions for Prismatic Anisotropic Beams,” Int. J. Solids Struct., 28, No. 7, pp. 917-938.
11. Kantorovich, L. V., and Krylov, V., 1958, Approximate Methods for Higher Analysis, Noordhoff, Groningen, The Netherlands.
12. Taweel, H., Dong, S. B., and Kazic, M., 2000, “Wave Reflection from the Free End of a Cylinder with an Arbitrary Cross-Section,” Int. J. Solids Struct., 37, pp. 1701-1726.
13. Almansi, E., 1901, “Sopra la Deformazione dei Cilindri Solecitati Lateralmente,” Atti Accad. Naz. Lincei, Cl. Sci. Fis., Mat. Nat., Rend., 10, pp. I:333-338; II:400-408.
14. Michell, J. H., 1901, “The Theory of Uniformly Loaded Beams,” Q. J. Math., 32, pp. 28-42.