Grid continuum description: A novel approach in two-scale hyperelasticity

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F12%3A43915726" target="_blank" >RIV/49777513:23520/12:43915726 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1142/S1756973712500047" target="_blank" >http://dx.doi.org/10.1142/S1756973712500047</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1142/S1756973712500047" target="_blank" >10.1142/S1756973712500047</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Grid continuum description: A novel approach in two-scale hyperelasticity

Popis výsledku v původním jazyce

In this paper, a generalization of the standard continuum theory is proposed in order to describe materials with a more complex microstructure. The key idea consists in dividing the studied body onto a set of small but finite disjunct cells whose boundaries form what is called the grid. The state of the grid is described by macroscopically smooth functions. The interior of each cell, on the other hand, is described by an additional field that may be discontinuous or highly oscillating. Such an approachallows us to include non-trivial effects of the microstructure in resulting material models of macroscopic bodies. The theory is illustrated on two examples of two-scale hyperelastic models. The first one represents a crystalline material with a failureof the Cauchy-Born rule. The second one, motivated by an arrangement of soft tissues, includes prestress at the reference state as well as non-trivial response caused by a collapse of micro-constituents. Transparent physical meaning of se

Název v anglickém jazyce

Grid continuum description: A novel approach in two-scale hyperelasticity

Popis výsledku anglicky

In this paper, a generalization of the standard continuum theory is proposed in order to describe materials with a more complex microstructure. The key idea consists in dividing the studied body onto a set of small but finite disjunct cells whose boundaries form what is called the grid. The state of the grid is described by macroscopically smooth functions. The interior of each cell, on the other hand, is described by an additional field that may be discontinuous or highly oscillating. Such an approachallows us to include non-trivial effects of the microstructure in resulting material models of macroscopic bodies. The theory is illustrated on two examples of two-scale hyperelastic models. The first one represents a crystalline material with a failureof the Cauchy-Born rule. The second one, motivated by an arrangement of soft tissues, includes prestress at the reference state as well as non-trivial response caused by a collapse of micro-constituents. Transparent physical meaning of se

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

JJ - Ostatní materiály

OECD FORD obor

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Projekt

<a href="/cs/project/GA106%2F09%2F0734" target="_blank" >GA106/09/0734: Vliv mikroskopického uspořádání tkání a funkce buněčného cytoskeletu na mechanické vlastnosti živých tkání</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2012

Kód důvěrnosti údajů

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

Název periodika

Journal of Multiscale Modelling

ISSN

1756-9737

e-ISSN

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Svazek periodika

4

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

16

Strana od-do

1250004

Kód UT WoS článku

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EID výsledku v databázi Scopus

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