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Stress-controlled ratchetting in hypoplasticity: A study of periodically proportional loading cycles
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SYSNO ASEP 0574182 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Stress-controlled ratchetting in hypoplasticity: A study of periodically proportional loading cycles Tvůrce(i) Bauer, E. (AT)
Kovtunenko, V. A. (AT)
Krejčí, P. (CZ)
Monteiro, Giselle Antunes (MU-W) RID, SAI, ORCID
Runcziková, J. (CZ)Zdroj.dok. Acta Mechanica. - : Springer - ISSN 0001-5970
Roč. 234, č. 9 (2023), s. 4077-4093Poč.str. 17 s. Jazyk dok. eng - angličtina Země vyd. AT - Rakousko Klíč. slova granular materials ; hypoplasticity ; differential equations Vědní obor RIV BA - Obecná matematika Obor OECD Pure mathematics CEP GA20-14736S GA ČR - Grantová agentura ČR Způsob publikování Open access Institucionální podpora MU-W - RVO:67985840 UT WOS 000992769500002 EID SCOPUS 85160242087 DOI 10.1007/s00707-023-03596-1 Anotace 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. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2024 Elektronická adresa https://doi.org/10.1007/s00707-023-03596-1
Počet záznamů: 1