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This article is cited in 2 scientific papers (total in 2 papers)
Cyclic behavior of simple models in hypoplasticity and plasticity with nonlinear kinematic hardening
Victor A. Kovtunenkoab, Erich Bauerc, Ján Eliašb, Pavel Krejčíd, Giselle A. Monteiroe, Lenka Straková (Siváková)d a Lavrent'ev Institute of Hydrodynamics SB RAS, Novosibirsk, Russian Federation
b University of Graz, NAWI Graz, Graz, Austria
c Graz University of Technology,, Graz, Austria
d Czech Technical University in Prague, Prague, Czech Republic
e Institute of Mathematics, Czech Academy of Sciences, Prague, Czech Republic
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.
Keywords:
plasticity, hypoplasticity, rate-independent system, hysteresis, cyclic behaviour, modeling, well-posedness, numerical simulation.
Received: 27.06.2021 Received in revised form: 10.07.2021 Accepted: 10.09.2021
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
Linking options:
https://www.mathnet.ru/eng/jsfu961 https://www.mathnet.ru/eng/jsfu/v14/i6/p756
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