Elastic properties of isotropic discrete systems: Connections between geometric structure and Poisson's ratio

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F20%3APU135821" target="_blank" >RIV/00216305:26110/20:PU135821 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1016/j.ijsolstr.2019.12.012" target="_blank" >https://doi.org/10.1016/j.ijsolstr.2019.12.012</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.ijsolstr.2019.12.012" target="_blank" >10.1016/j.ijsolstr.2019.12.012</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Elastic properties of isotropic discrete systems: Connections between geometric structure and Poisson's ratio

Popis výsledku v původním jazyce

The use of discrete material representation in numerical models is advantageous due to the straightforward way it takes into account material heterogeneity and randomness, and the discrete and orientated nature of cracks. Unfortunately, it also restricts the macroscopic Poisson’s ratio and therefore narrows its applicability. The paper studies the Poisson’s ratio of a discrete model analytically. It derives theoretical limits for cases where the geometry of the model is completely arbitrary, but isotropic in the statistical sense. It is shown that the widest limits are obtained for models where normal directions of contacts between discrete units are parallel with the vectors connecting these units. Any deviation from parallelism causes the Poisson’s ratio limits to shrink. A comparison of the derived equations to the results of the actual numerical model is presented. It shows relatively large deviations from the theory because the fundamental assumptions behind the theoretical derivations are largely violated in systems with complex geometry. The real shrinking of the Poisson’s ratio limit is less severe compared to that which is theoretically derived.

Název v anglickém jazyce

Elastic properties of isotropic discrete systems: Connections between geometric structure and Poisson's ratio

Popis výsledku anglicky

The use of discrete material representation in numerical models is advantageous due to the straightforward way it takes into account material heterogeneity and randomness, and the discrete and orientated nature of cracks. Unfortunately, it also restricts the macroscopic Poisson’s ratio and therefore narrows its applicability. The paper studies the Poisson’s ratio of a discrete model analytically. It derives theoretical limits for cases where the geometry of the model is completely arbitrary, but isotropic in the statistical sense. It is shown that the widest limits are obtained for models where normal directions of contacts between discrete units are parallel with the vectors connecting these units. Any deviation from parallelism causes the Poisson’s ratio limits to shrink. A comparison of the derived equations to the results of the actual numerical model is presented. It shows relatively large deviations from the theory because the fundamental assumptions behind the theoretical derivations are largely violated in systems with complex geometry. The real shrinking of the Poisson’s ratio limit is less severe compared to that which is theoretically derived.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20102 - Construction engineering, Municipal and structural engineering

Projekt

<a href="/cs/project/GA19-12197S" target="_blank" >GA19-12197S: Sdružená Úloha Mechaniky a Proudění v Betonu Řešená Pomocí Meso-Úrovňového Diskrétního Modelu</a><br>

Návaznosti

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

Rok uplatnění

2020

Kód důvěrnosti údajů

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

Název periodika

International Journal of Solids and Structures

ISSN

0020-7683

e-ISSN

1879-2146

Svazek periodika

191-192

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

10

Strana od-do

254-263

Kód UT WoS článku

000526811800020

EID výsledku v databázi Scopus

2-s2.0-85077356258