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Nearly isochoric finite torsion of a compressible isotropic elastic circular cylinder. (English) Zbl 0232.73039


MSC:

74B20 Nonlinear elasticity
Full Text: DOI

References:

[1] Spencer, A. J. M.: Finite deformations of an almost incompressible solid. Proceedings of International Symposium on Second-Order Effects, p. 200. Haifa: 1962. · Zbl 0124.38601
[2] Green, A. E., andE. W. Wilkes: A note on the finite extension and torsion of a circular cylinder of compressible elastic isotropic material. Quart. J. Mech. an Appl. Math.6, 2 (1953). · Zbl 0050.40305
[3] Truesdell, C., andW. Noll: Non-linear field theories of mechanics. (Encyclopedia of Physics, V, p. 263) Berlin-Göttingen-Heidelberg: Springer. 1965.
[4] Blatz, P. J., andW. L. Ko: Application of finite elastic theory to the deformation of rubbery materials. Trans. Soc. of Rheology6, 223 (1962). · doi:10.1122/1.548937
[5] Mooney, M.: A theory of large elastic deformations. J. App. Physics2, 582 (1940). · JFM 66.1021.04 · doi:10.1063/1.1712836
[6] Green, A. E., andW. Zerna: Theoretical Elasticity. 2nd Edition. O.U.P., p. 91, 1968. · Zbl 0155.51801
[7] Hill, R.: On uniqueness and stability in the theory of finite elastic strain. J. Mech. Phys. Solids5, 229 (1957). · Zbl 0080.18004 · doi:10.1016/0022-5096(57)90016-9
[8] Green, A. E., andJ. E. Adkins: Large Elastic Deformations. O.U.P., p. 63, 1960. · Zbl 0090.17501
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