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SKÁCEL, P. BURŠA, J.
Originální název
Numerical implementation of constitutive model for arterial layers with distributed collagen fibre orientations
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
angličtina
Originální abstrakt
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.
Klíčová slova
arterial wall mechanics; constitutive modelling; Hyperfit software; distribution of collagen fibre orientation; numerical integration on the sphere
Autoři
SKÁCEL, P.; BURŠA, J.
Rok RIV
2013
Vydáno
29. 10. 2013
Nakladatel
Taylor & Francis Group
ISSN
1025-5842
Periodikum
COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING
Ročník
2014
Číslo
01
Stát
Spojené království Velké Británie a Severního Irska
Strany od
1
Strany do
13
Strany počet
URL
http://www.tandfonline.com/doi/full/10.1080/10255842.2013.847928
BibTex
@article{BUT105498, author="Pavel {Skácel} and Jiří {Burša}", title="Numerical implementation of constitutive model for arterial layers with distributed collagen fibre orientations", journal="COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING", year="2013", volume="2014", number="01", pages="1--13", doi="10.1080/10255842.2013.847928", issn="1025-5842", url="http://www.tandfonline.com/doi/full/10.1080/10255842.2013.847928" }