Hysteresis of implicit equations in hypoplasticity for soil materials with granular hardness degradation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F24%3A00587707" target="_blank" >RIV/67985840:_____/24:00587707 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21110/24:00375029
Result on the web
<a href="https://doi.org/10.1007/s10958-024-07089-x" target="_blank" >https://doi.org/10.1007/s10958-024-07089-x</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10958-024-07089-x" target="_blank" >10.1007/s10958-024-07089-x</a>
Alternative languages
Result language
angličtina
Original language name
Hysteresis of implicit equations in hypoplasticity for soil materials with granular hardness degradation
Original language description
We study a hypoplastic model for soil and granular materials stemming from geomechanical engineering which further incorporates effects of degradation of the granular hardness, therefore allowing for the description of environmental weathering. The governing system is described by a nonlinear system of transcendental-differential equations for stress and strain rate, which is investigated with respect to its long-time dynamic. Under deviatoric stress control, two different solutions of the underlying, implicit differential equations are constructed analytically. The spherical components of stress and strain rate converge asymptotically to an attractor and lead to the sparsification of material states. Whereas under cyclic loading-unloading carried out in a numerical simulation, finite ratcheting of the deviatoric strain rate is observed in the form of a square spiral.
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
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
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Mathematical Sciences
ISSN
1072-3374
e-ISSN
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Volume of the periodical
280
Issue of the periodical within the volume
3
Country of publishing house
US - UNITED STATES
Number of pages
15
Pages from-to
453-467
UT code for WoS article
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EID of the result in the Scopus database
2-s2.0-85192557784