Cyclic Behavior of Simple Models in Hypoplasticity and Plasticity with Nonlinear Kinematic Hardening

Cyclic Behavior of Simple Models in Hypoplasticity and Plasticity with Nonlinear Kinematic Hardening Full article

Journal

Journal of Siberian Federal University - Mathematics and Physics
ISSN: 1997-1397 , E-ISSN: 2313-6022

Output data

Year: 2021, Volume: 14, Number: 6, Pages: 756-767 Pages count : 12 DOI: 10.17516/1997-1397-2021-14-6-756-767

Tags

Cyclic behaviour; Hypoplasticity; Hysteresis; Modeling; Numerical simulation; Plasticity; Rate-independent system; Well-posedness

Authors

Kovtunenko Victor A. ^1,2 , Bauer Erich ³ , Elias Jan ¹ , Krejcı Pavel ⁴ , Monteiro Giselle A. ⁵ , Strakova (Sivakova) Lenka ⁴

Affiliations

1	University of Graz, NAWI Graz, Graz, Austria
2	Lavrent’ev Institute of Hydrodynamics SB RAS
3	Graz University of Technology, Graz, Austria
4	Czech Technical University in Prague
5	Institute of Mathematics, Czech Academy of Sciences, Prague, Czech Republic

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 di erent 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.

Kovtunenko V.A. , Bauer E. , Elias J. , Krejcı P. , Monteiro G.A. , Strakova (Sivakova) L.
Cyclic Behavior of Simple Models in Hypoplasticity and Plasticity with Nonlinear Kinematic Hardening
Journal of Siberian Federal University - Mathematics and Physics. 2021. V.14. N6. P.756-767. DOI: 10.17516/1997-1397-2021-14-6-756-767 WOS Scopus РИНЦ OpenAlex

Submitted:

Jun 27, 2021

Web of science:	WOS:000757015300009
Scopus:	2-s2.0-85121848946
Elibrary:	47493283
OpenAlex:	W3216296797

DB	Citing
Scopus	3
OpenAlex	4