Stress-controlled Hysteresis and Long-time Dynamics of Implicit Differential Equations Arising in Hypoplasticity
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F23%3A00366469" target="_blank" >RIV/68407700:21110/23:00366469 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.5817/AM2023-3-275" target="_blank" >https://doi.org/10.5817/AM2023-3-275</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.5817/AM2023-3-275" target="_blank" >10.5817/AM2023-3-275</a>
Alternative languages
Result language
angličtina
Original language name
Stress-controlled Hysteresis and Long-time Dynamics of Implicit Differential Equations Arising in Hypoplasticity
Original language description
A long-time dynamic for granular materials arising in the hypoplastic theory of Kolymbas type is investigated. It is assumed that the granular hardness allows exponential degradation, which leads to the densification of material states. The governing system for a rate-independent strain under stress control is described by implicit differential equations. Its analytical solution for arbitrary inhomogeneous coefficients is constructed in closed form. Under cyclic loading by periodic pressure, finite ratcheting for the void ratio is derived in explicit form, which converges to a limiting periodic process (attractor) when the number of cycles tends to infinity.
Czech name
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Czech description
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Classification
Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
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
Archivum mathematicum
ISSN
1212-5059
e-ISSN
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Volume of the periodical
59
Issue of the periodical within the volume
3
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
12
Pages from-to
275-286
UT code for WoS article
000946466700004
EID of the result in the Scopus database
2-s2.0-85152093367