Stress-controlled ratchetting in hypoplasticity: A study of periodically proportional loading cycles
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00574182" target="_blank" >RIV/67985840:_____/23:00574182 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21110/23:00366470
Result on the web
<a href="https://doi.org/10.1007/s00707-023-03596-1" target="_blank" >https://doi.org/10.1007/s00707-023-03596-1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00707-023-03596-1" target="_blank" >10.1007/s00707-023-03596-1</a>
Alternative languages
Result language
angličtina
Original language name
Stress-controlled ratchetting in hypoplasticity: A study of periodically proportional loading cycles
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Acta Mechanica
ISSN
0001-5970
e-ISSN
1619-6937
Volume of the periodical
234
Issue of the periodical within the volume
9
Country of publishing house
AT - AUSTRIA
Number of pages
17
Pages from-to
4077-4093
UT code for WoS article
000992769500002
EID of the result in the Scopus database
2-s2.0-85160242087