caa a22 4500 475776836 CHVBK 20180406123633.0 cr unu---uuuuu 170329e20000301xx s 000 0 eng 10.1007/BF02465284 doi (NATIONALLICENCE)springer-10.1007/BF02465284 Specific features of the nonlinearly elastic behavior of cylindrical compressible bodies in torsion [Elektronische Daten] [T. Gavrilyachenko, M. Karyakin] The torsion problem of a cylinder with a circular transverse cross section twisted by end moments that are equal in magnitude and opposite in direction is considered for various models of nonlinearly elastic compressible media. The problem is solved by the semi-inverse method of elasticity theory. The Poynting effect, which consists of variation in the length of a shaft in torsion, is treated qualitatively and quantitatively. The results of the numerical and asymptotic (only terms that are quadratic relative to the displacement gradient are conserved) solutions for various models of the nonlinearly elastic behavior of materials are compared. An analysis of the results shows that in some cases, the quasilinear model is not applicable for studying the behavior of nonlinearly elastic compressible media. Kluwer Academic/Plenum Publishers, 2000 Gavrilyachenko T. aut Karyakin M. aut Journal of Applied Mechanics and Technical Physics Kluwer Academic Publishers-Plenum Publishers 41/2(2000-03-01), 377-381 0021-8944 41:2<377 2000 41 10808 https://doi.org/10.1007/BF02465284 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02465284 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Gavrilyachenko T. aut NATIONALLICENCE 700 1- Karyakin M. aut NATIONALLICENCE 773 0- Journal of Applied Mechanics and Technical Physics Kluwer Academic Publishers-Plenum Publishers 41/2(2000-03-01), 377-381 0021-8944 41:2<377 2000 41 10808 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer