Hysteresis of implicit equations in hypoplasticity for soil materials with granular hardness degradation

Kód výsledku v 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>

Nalezeny alternativní kódy

RIV/68407700:21110/24:00375029

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Hysteresis of implicit equations in hypoplasticity for soil materials with granular hardness degradation

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Hysteresis of implicit equations in hypoplasticity for soil materials with granular hardness degradation

Popis výsledku anglicky

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.

Druh

J_SC - Článek v periodiku v databázi SCOPUS

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2024

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of Mathematical Sciences

ISSN

1072-3374

e-ISSN

—

Svazek periodika

280

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

15

Strana od-do

453-467

Kód UT WoS článku

—

EID výsledku v databázi Scopus

2-s2.0-85192557784