Necessary and sufficient conditions for reaching and maintaining critical state

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F19%3A00506132" target="_blank" >RIV/61388998:_____/19:00506132 - isvavai.cz</a>

Result on the web

<a href="https://onlinelibrary.wiley.com/doi/pdf/10.1002/nag.2943" target="_blank" >https://onlinelibrary.wiley.com/doi/pdf/10.1002/nag.2943</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/nag.2943" target="_blank" >10.1002/nag.2943</a>

Result language

angličtina

Original language name

Necessary and sufficient conditions for reaching and maintaining critical state

Original language description

According to classical critical state theory (CST) of granular mechanics, two analytical conditions on the ratio of stress invariants and the void ratio are postulated to be necessary and sufficient for reaching and maintaining critical state (CS). The present work investigates the sufficiency of these two conditions based on the results of a virtual three‐dimensional discrete element methodnexperiment, which imposes continuous rotation of the principal axes of stress with fixed stress principal values at CS. Even though the fixity of the stress principal values satisfies the two analytical CST conditions at the initiation of rotation, contraction and abandonment of CS occur, which proves that these conditions may be necessary but are not sufficient to maintain CS. But if fixity of stress and strain rate directions in regard to the sample is considered at CS, the two analytical conditions of CST remain both necessary and sufficient. The recently proposed anisotropic critical state theory (ACST) turned this qualitative requirement of fixity into an analytical condition related to the CS value of a fabric anisotropy variable A defined in terms of an evolving fabric tensor and the plastic strain rate direction, thus, enhancing the two CST conditions by a third. In this way, the three analytical conditions of ACST become both necessary and sufficient for reaching and maintaining CS. In addition, the use of A explains the observed results by relating the stress‐strain response, in particular the dilatancy, to the evolution of fabric by means of the relevant equations of ACST.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

20501 - Materials engineering

Project

<a href="/en/project/EF15_003%2F0000493" target="_blank" >EF15_003/0000493: Centre of Excellence for Nonlinear Dynamic Behaviour of Advanced Materials in Engineering</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2019

Confidentiality

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

Name of the periodical

International Journal for Numerical and Analytical Methods in Geomechanics

ISSN

0363-9061

e-ISSN

—

Volume of the periodical

43

Issue of the periodical within the volume

12

Country of publishing house

GB - UNITED KINGDOM

Number of pages

15

Pages from-to

2041-2055

UT code for WoS article

000479225700001

EID of the result in the Scopus database

2-s2.0-85067518594