Abstract:
The paper gives insights into modeling and well-posedness analysis driven by cyclic behavior of particular rate-independent constitutive equations based on the framework of hypoplasticity and on the elastoplastic concept with nonlinear kinematic hardening. Compared to the classical concept of elastoplasticity, in hypoplasticity there is no need to decompose the deformation into elastic and plastic parts. The two different types of nonlinear approaches show some similarities in the structure of the constitutive relations, which are relevant for describing irreversible material properties. These models exhibit unlimited ratchetting under cyclic loading. In numerical simulation it will be demonstrated, how a shakedown behavior under cyclic loading can be achieved with a slightly enhanced simple hypoplastic equations proposed by Bauer.
This work was supported by the OeAD Scientific & Technological Cooperation
(WTZ CZ 18/2020: "Hysteresis in Hypo-Plastic Models")
financed by the Austrian Federal Ministry of Science, Research and Economy (BMWFW)
and by the Czech Ministry of Education, Youth and Sports (MŠMT).
Further support by the European Research Council (ERC) under the European Union's Horizon 2020
Research and Innovation Programme, advanced grant No. 668998 OCLOC (V.A.K),
by the Russian Foundation for Basic Research (RFBR), project 18-29-10007 (V.A.K),
by the GAČR Grant No. 20-14736S (P.K. and G.A.M.),
and by the European Regional Development Fund, project
No. CZ.02.1.01/0.0/0.0/16{_}019/0000778 (P.K.) is gratefully acknowledged.
Received: 27.06.2021 Received in revised form: 10.07.2021 Accepted: 10.09.2021
Bibliographic databases:
Document Type:
Article
UDC:
517.9
Language: English
Citation:
Victor A. Kovtunenko, Erich Bauer, Ján Eliaš, Pavel Krejčí, Giselle A. Monteiro, Lenka Straková (Siváková), “Cyclic behavior of simple models in hypoplasticity and plasticity with nonlinear kinematic hardening”, J. Sib. Fed. Univ. Math. Phys., 14:6 (2021), 756–767
\Bibitem{KovBauEli21}
\by Victor~A.~Kovtunenko, Erich~Bauer, J\'an~Elia{\v s}, Pavel~Krej{\v{c}}{\'\i}, Giselle~A.~Monteiro, Lenka~Strakov\'a~(Siv\'akov\'a)
\paper Cyclic behavior of simple models in hypoplasticity and plasticity with nonlinear kinematic hardening
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2021
\vol 14
\issue 6
\pages 756--767
\mathnet{http://mi.mathnet.ru/jsfu961}
\crossref{https://doi.org/10.17516/1997-1397-2021-14-6-756-767}
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https://www.mathnet.ru/eng/jsfu/v14/i6/p756
This publication is cited in the following 2 articles:
Victor A. Kovtunenko, Pavel Krejčí, Giselle A. Monteiro, Judita Runcziková, “HYSTERESIS OF IMPLICIT EQUATIONS IN HYPOPLASTICITY FOR SOIL MATERIALS WITH GRANULAR HARDNESS DEGRADATION”, J Math Sci, 280:3 (2024), 453
Erich Bauer, Victor A. Kovtunenko, Pavel Krejčí, Giselle A. Monteiro, Judita Runcziková, “Stress-controlled ratchetting in hypoplasticity: a study of periodically proportional loading cycles”, Acta Mech, 234:9 (2023), 4077
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