caa a22 4500 463164474 CHVBK 20180406164757.0 cr unu---uuuuu 170326e20070301xx s 000 0 eng 10.1007/s10778-007-0024-8 doi (NATIONALLICENCE)springer-10.1007/s10778-007-0024-8 Linear relationship between the first invariants of the stress and strain tensors in theories of plasticity with strain hardening [Elektronische Daten] [Yu. Shevchenko, R. Terekhov, N. Tormakhov] Energy-coupled stress and strain measures are defined in Euler coordinates. They are used to analyze the relationship between the first invariants of the stress and strain tensors for linearity and to determine strains at which the plastic component of the first strain invariant can be neglected. It is established that this relationship remains linear within an engineering plastic-strain tolerance of 0.2% irrespective of the value of strain intensity, which depends on the type of material and its stress state Springer Science+Business Media, Inc., 2007 solid body nationallicence Eulerian and Lagrangian coordinates nationallicence stress and strain tensors nationallicence first invariants nationallicence linear relationship 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 43/3(2007-03-01), 291-302 1063-7095 43:3<291 2007 43 10778 https://doi.org/10.1007/s10778-007-0024-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10778-007-0024-8 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 43/3(2007-03-01), 291-302 1063-7095 43:3<291 2007 43 10778 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer