Development of a constitutive model of soft tissues for FE analyses using a bottom-up approach

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23640%2F18%3A43955562" target="_blank" >RIV/49777513:23640/18:43955562 - isvavai.cz</a>

Alternative codes found

RIV/49777513:23810/18:43955562

Result on the web

<a href="http://hdl.handle.net/11025/34917" target="_blank" >http://hdl.handle.net/11025/34917</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.24132/acm.2018.330" target="_blank" >10.24132/acm.2018.330</a>

Result language

angličtina

Original language name

Development of a constitutive model of soft tissues for FE analyses using a bottom-up approach

Original language description

This paper presents the development of a two-scale anisotropic hyperelastic material model whose microstructure is motivated by the arrangement of soft tissues. In a bottom-up approach, we start at the microscale, identifying the components that are relevant for our model. These components are represented by simplified mechanical elements, such as linear springs and incompressible volumes. The next step is to use the concept of the representative volume element connecting the micro- and macroscales. Introducing principal material directions, the notion of invariants and pseudo-invariants is employed to derive a formula for the strain energy function. In fact, two hyperelastic models are proposed. In the simplified one, the microstructure is formed of a network of linear springs. In the second one, an incompressible volume is added to the representation of the microstructure. This results in the model’s having a nonlinear response, with the strain energy function arising as a solution to a minimization problem. The properties of the strain energy function and the influence of anisotropy are demonstrated on a simple tension test and a simple shear test. Applications of the proposed model to the description of prestressed materials, non-affine deformations, and real tissue modelling are presented.

Czech name

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Czech description

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Type

J_SC - Article in a specialist periodical, which is included in the SCOPUS database

CEP classification

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OECD FORD branch

10610 - Biophysics

Project

<a href="/en/project/EE2.3.30.0038" target="_blank" >EE2.3.30.0038: New excellence in human resources</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Publication year

2018

Confidentiality

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

Name of the periodical

Applied and Computational Mechanics

ISSN

1802-680X

e-ISSN

—

Volume of the periodical

12

Issue of the periodical within the volume

2

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

18

Pages from-to

175-192

UT code for WoS article

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EID of the result in the Scopus database

2-s2.0-85067059019