Stress-controlled hysteresis and long-time dynamics of implicit differential equations arising in hypoplasticity

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00570769" target="_blank" >RIV/67985840:_____/23:00570769 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.5817/AM2023-3-275" target="_blank" >http://dx.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>

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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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA20-14736S" target="_blank" >GA20-14736S: Hysteresis modeling in mathematical engineering</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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