Publication detail
Numerical implementation of constitutive model for arterial layers with distributed collagen fibre orientations
SKÁCEL, P. BURŠA, J.
Czech title
Numerická implementace konstitutivního modelu pro popis arterialních vrstev s distribuovanou orientací kolageních vláken
English title
Numerical implementation of constitutive model for arterial layers with distributed collagen fibre orientations
Type
journal article in Web of Science
Language
en
Original abstract
Several constitutive models have been proposed for the description of mechanical behaviour of soft tissues containing collagen fibres. Some of the commonly used approaches accounting for the dispersion of fibre orientations are based on the summation of (mechanical) contributions of differently oriented fibre families. This leads to the need of numerical integration on the sphere surface, and the related numerical consumption is the main disadvantage of this category of constitutive models. The paper is focused on the comparison of various numerical integration methods applied to specific constitutive model applicable for arterial walls. Robustness and efficiency of several integration rules were tested with respect to application in finite element (FE) codes. Among all the analysed numerical integration rules, the best results were reached by Lebedev quadrature; the related parameters for the specific constitutive model are presented in the paper. The results were implemented into the commercial FE code ANSYS via user subroutines, and their applicability was demonstrated by an example of FE simulation with non-homogenous stress field.
Czech abstract
Článek se zabývá konstitutivním modelem pro měkké tkáně s kolageními vlákny s neuniformní orientací. Některé běžně užívané přístupy sčítající příspěvky jednotlivých různě orientovaných strukturních složek do celkové energie napjatosti vedou k nutnosti numerické integrace ve sférické doméně. Tyto přístupy jsou výpočtově náročné což je jejich hlavní nevýhodou. Článek srovnává různé integrační techniky aplikované na případ specifického modelu vhodného pro arteriální stěny. Je testována robustnost a přesnost jednotlivých metod s ohledem na aplikaci v metodě konečných prvků (MKP). Nejlepší výsledky ze všech analyzovaných metod vykázala Lebedevova integracní metoda, která byla implementována do uživatelsky definovaného materiálového sub-modulu v komerčním MKP programu ANSYS. Aplikovatelnost výsledků je demonstrována na příkladu MKP simulace s nehomogenním polem mechanického napětí.
English abstract
Several constitutive models have been proposed for the description of mechanical behaviour of soft tissues containing collagen fibres. Some of the commonly used approaches accounting for the dispersion of fibre orientations are based on the summation of (mechanical) contributions of differently oriented fibre families. This leads to the need of numerical integration on the sphere surface, and the related numerical consumption is the main disadvantage of this category of constitutive models. The paper is focused on the comparison of various numerical integration methods applied to specific constitutive model applicable for arterial walls. Robustness and efficiency of several integration rules were tested with respect to application in finite element (FE) codes. Among all the analysed numerical integration rules, the best results were reached by Lebedev quadrature; the related parameters for the specific constitutive model are presented in the paper. The results were implemented into the commercial FE code ANSYS via user subroutines, and their applicability was demonstrated by an example of FE simulation with non-homogenous stress field.
Keywords in Czech
mechanika arteriálních stěn; konstitutivní modelování; software HYPERFIT; distribuce orientace kolageních vláken; numerická integrace na sférické doméně
Keywords in English
arterial wall mechanics; constitutive modelling; Hyperfit software; distribution of collagen fibre orientation; numerical integration on the sphere
RIV year
2013
Released
29.10.2013
Publisher
Taylor & Francis Group
ISSN
1025-5842
Volume
2014
Number
01
Pages from–to
1–13
Pages count
13
BIBTEX
@article{BUT105498,
author="Pavel {Skácel} and Jiří {Burša},
title="Numerical implementation of constitutive model for arterial layers with distributed collagen fibre orientations",
year="2013",
volume="2014",
number="01",
month="October",
pages="1--13",
publisher="Taylor & Francis Group",
issn="1025-5842"
}