Elastic properties of isotropic discrete systems with skew contact normals

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F19%3APU134424" target="_blank" >RIV/00216305:26110/19:PU134424 - isvavai.cz</a>

Výsledek na webu

<a href="https://congress.cimne.com/complas2019/frontal/default.asp" target="_blank" >https://congress.cimne.com/complas2019/frontal/default.asp</a>

DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Elastic properties of isotropic discrete systems with skew contact normals

Popis výsledku v původním jazyce

The macroscopic elastic properties of discrete assemblies are fundamental characteristics of such systems. The contribution uses homogenization procedure based on equivalence of virtual work between the isotropic elastic continuum and the discrete system to develop analytical formulas for estimation of macroscopic elastic modulus and Poisson’s ratio. Such homogenization was recently used to derive formulas for discrete assemblies where (i) there is no vacant space between the discrete units, (ii) the orientation of contacts is uniformly distributed and (iii) the contact normals are parallel to contact vectors (directions connecting centers of discrete units). The third assumption is now removed, three dimensional systems with arbitrary relation between contact vectors and contact normals are studied here. It is shown that the limits of Poisson’s ratio of such system depends on the relation between contact normal and contact vector. The widest limits are however obtained when these two vectors are parallel. This means that arbitrary manipulations with discrete geometry cannot extend Poisson’s ratio of the system outside the known boundaries.

Název v anglickém jazyce

Elastic properties of isotropic discrete systems with skew contact normals

Popis výsledku anglicky

The macroscopic elastic properties of discrete assemblies are fundamental characteristics of such systems. The contribution uses homogenization procedure based on equivalence of virtual work between the isotropic elastic continuum and the discrete system to develop analytical formulas for estimation of macroscopic elastic modulus and Poisson’s ratio. Such homogenization was recently used to derive formulas for discrete assemblies where (i) there is no vacant space between the discrete units, (ii) the orientation of contacts is uniformly distributed and (iii) the contact normals are parallel to contact vectors (directions connecting centers of discrete units). The third assumption is now removed, three dimensional systems with arbitrary relation between contact vectors and contact normals are studied here. It is shown that the limits of Poisson’s ratio of such system depends on the relation between contact normal and contact vector. The widest limits are however obtained when these two vectors are parallel. This means that arbitrary manipulations with discrete geometry cannot extend Poisson’s ratio of the system outside the known boundaries.

Druh

D - Stať ve sborníku

CEP obor

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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

2019

Kód důvěrnosti údajů

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

Název statě ve sborníku

XV International Conference on Computational Plasticity. Fundamentals and Applications (COMPLAS 2019)

ISBN

978-84-949194-7-3

ISSN

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e-ISSN

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Počet stran výsledku

9

Strana od-do

305-313

Název nakladatele

Neuveden

Místo vydání

neuveden

Místo konání akce

Barcelona

Datum konání akce

3. 9. 2019

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

000651800600026