caa a22 4500 463164040 CHVBK 20180406164756.0 cr unu---uuuuu 170326e20070601xx s 000 0 eng 10.1007/s10778-007-0060-4 doi (NATIONALLICENCE)springer-10.1007/s10778-007-0060-4 Elastoplastic deformation of elements of an isotropic solid along paths of small curvature: Constitutive equations incorporating the stress mode [Elektronische Daten] [Yu. Shevchenko, R. Terekhov, N. Tormakhov] Constitutive equations relating the components of the stress tensor in a Eulerian coordinate system and the linear components of the finite-strain tensor are derived. These stress and strain measures are energy-consistent. It is assumed that the stress deviator is coaxial with the plastic-strain differential deviator and that the first invariants of the stress and strain tensors are in a nonlinear relationship. In the case of combined elastoplastic deformation of elements of the body, this relationship, as well as the relationship between the second invariants of the stress and strain deviators, is determined from fundamental tests on a tubular specimen subjected to proportional loading at several values of stress mode angle (the third invariant of the stress deviator). Methods to individualize these relationships are proposed. The initial assumptions are experimentally validated. The constitutive equations derived underlie an algorithm for solving boundary-value problems Springer Science+Business Media, Inc., 2007 isotropic body nationallicence stress tensor nationallicence linear components of finite-strain tensor nationallicence Eulerian coordinates nationallicence elastoplastic deformation nationallicence path of small curvature nationallicence stress mode angle nationallicence constitutive equations nationallicence Shevchenko Yu S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv aut Terekhov R. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv aut Tormakhov N. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv aut International Applied Mechanics Springer US 43/6(2007-06-01), 621-630 1063-7095 43:6<621 2007 43 10778 https://doi.org/10.1007/s10778-007-0060-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10778-007-0060-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Shevchenko Yu S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv aut NATIONALLICENCE 700 1- Terekhov R. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv aut NATIONALLICENCE 700 1- Tormakhov N. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv aut NATIONALLICENCE 773 0- International Applied Mechanics Springer US 43/6(2007-06-01), 621-630 1063-7095 43:6<621 2007 43 10778 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer