Abstract: We investigate rate-independent strain paths in a granular material generated by periodically oscillating stress cycles using a particular constitutive model within the hypoplasticity theory of Kolymbas type. It is assumed that the irreversible hypoplastic effects decay to zero when the void ratio reaches its theoretical minimum, while the void ratio is in turn related to the evolution of the volumetric strain through the mass conservation principle. We show that under natural assumptions on material parameters, both isotropic and anisotropic stress cycles are described by a differential equation whose solution converges asymptotically to a limiting periodic process taking place in the shakedown state when the number of loading cycles tends to infinity. Furthermore, an estimation of how fast, in terms of the number of cycles, the system approaches the limit state is derived in explicit form. It is shown how it depends on the parameters of the model, on the initial void ratio, and on the prescribed stress interval.

Cite: Bauer E. , Kovtunenko V.A. , Krejčí P. , Monteiro G. , Runcziková J.
Stress-controlled ratchetting in hypoplasticity: a study of periodically proportional loading cycles
Acta Mechanica. 2023. V.234. N9. P.4077-4093. DOI: 10.1007/s00707-023-03596-1 WOS Scopus РИНЦ OpenAlex

Dates:

Submitted:	Nov 8, 2022
Accepted:	Apr 27, 2023
Published print:	May 24, 2023

Identifiers:

Web of science:	WOS:000992769500002
Scopus:	2-s2.0-85160242087
Elibrary:	60773403
OpenAlex:	W4378234009

Citing:

DB	Citing
OpenAlex	4
Elibrary	3
Scopus	3
Web of science	1

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