Stress-controlled ratchetting in hypoplasticity: A study of periodically proportional loading cycles

Kód výsledku v 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>

Nalezeny alternativní kódy

RIV/68407700:21110/23:00366470

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Stress-controlled ratchetting in hypoplasticity: A study of periodically proportional loading cycles

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Stress-controlled ratchetting in hypoplasticity: A study of periodically proportional loading cycles

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

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

2023

Kód důvěrnosti údajů

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

Název periodika

Acta Mechanica

ISSN

0001-5970

e-ISSN

1619-6937

Svazek periodika

234

Číslo periodika v rámci svazku

9

Stát vydavatele periodika

AT - Rakouská republika

Počet stran výsledku

17

Strana od-do

4077-4093

Kód UT WoS článku

000992769500002

EID výsledku v databázi Scopus

2-s2.0-85160242087