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Efficient integration of evolution equations for a fiber-like Maxwell body. / Shutov, A. V.; Tagiltsev, I. I.

In: Journal of Physics: Conference Series, Vol. 1268, No. 1, 012078, 16.07.2019.

Research output: Contribution to journalConference articlepeer-review

Harvard

Shutov, AV & Tagiltsev, II 2019, 'Efficient integration of evolution equations for a fiber-like Maxwell body', Journal of Physics: Conference Series, vol. 1268, no. 1, 012078. https://doi.org/10.1088/1742-6596/1268/1/012078

APA

Vancouver

Shutov AV, Tagiltsev II. Efficient integration of evolution equations for a fiber-like Maxwell body. Journal of Physics: Conference Series. 2019 Jul 16;1268(1):012078. doi: 10.1088/1742-6596/1268/1/012078

Author

Shutov, A. V. ; Tagiltsev, I. I. / Efficient integration of evolution equations for a fiber-like Maxwell body. In: Journal of Physics: Conference Series. 2019 ; Vol. 1268, No. 1.

BibTeX

@article{9fb9903c2dbc413f92f9279e704f0064,
title = "Efficient integration of evolution equations for a fiber-like Maxwell body",
abstract = "Fiber-like Maxwell body is frequently used to model the mechanical behaviour of advanced composite materials, which appear in engineering and bio-mechanical applications. Here we consider a material model of the fiber-like Maxwell body based on the Sidoroff decomposition of the deformation gradient. In our case this decomposition yields a multiplicative split of the fiber stretch into inelastic and elastic parts. One of the advantages of the model is that various hyperelastic potentials can be employed for a greater accuracy. Three different potentials are analyzed in this paper: the classical Holzapfel potential and its modifications. The first modification accounts for a fiber slackness and the second one is intended for applications with a local fiber buckling. In terms of these three potentials, we analyze the performance of a universal iteration-free time-stepping scheme. Robustness and accuracy of this algorithm are tested. The iteration-free method is shown to compare favourably to the classical Euler-backward which includes the Newton iteration process.",
keywords = "FINITE STRAINS",
author = "Shutov, {A. V.} and Tagiltsev, {I. I.}",
year = "2019",
month = jul,
day = "16",
doi = "10.1088/1742-6596/1268/1/012078",
language = "English",
volume = "1268",
journal = "Journal of Physics: Conference Series",
issn = "1742-6588",
publisher = "IOP Publishing Ltd.",
number = "1",
note = "All-Russian Conference and School for Young Scientists, devoted to 100th Anniversary of Academician L.V. Ovsiannikov on Mathematical Problems of Continuum Mechanics, MPCM 2019 ; Conference date: 13-05-2019 Through 17-05-2019",

}

RIS

TY - JOUR

T1 - Efficient integration of evolution equations for a fiber-like Maxwell body

AU - Shutov, A. V.

AU - Tagiltsev, I. I.

PY - 2019/7/16

Y1 - 2019/7/16

N2 - Fiber-like Maxwell body is frequently used to model the mechanical behaviour of advanced composite materials, which appear in engineering and bio-mechanical applications. Here we consider a material model of the fiber-like Maxwell body based on the Sidoroff decomposition of the deformation gradient. In our case this decomposition yields a multiplicative split of the fiber stretch into inelastic and elastic parts. One of the advantages of the model is that various hyperelastic potentials can be employed for a greater accuracy. Three different potentials are analyzed in this paper: the classical Holzapfel potential and its modifications. The first modification accounts for a fiber slackness and the second one is intended for applications with a local fiber buckling. In terms of these three potentials, we analyze the performance of a universal iteration-free time-stepping scheme. Robustness and accuracy of this algorithm are tested. The iteration-free method is shown to compare favourably to the classical Euler-backward which includes the Newton iteration process.

AB - Fiber-like Maxwell body is frequently used to model the mechanical behaviour of advanced composite materials, which appear in engineering and bio-mechanical applications. Here we consider a material model of the fiber-like Maxwell body based on the Sidoroff decomposition of the deformation gradient. In our case this decomposition yields a multiplicative split of the fiber stretch into inelastic and elastic parts. One of the advantages of the model is that various hyperelastic potentials can be employed for a greater accuracy. Three different potentials are analyzed in this paper: the classical Holzapfel potential and its modifications. The first modification accounts for a fiber slackness and the second one is intended for applications with a local fiber buckling. In terms of these three potentials, we analyze the performance of a universal iteration-free time-stepping scheme. Robustness and accuracy of this algorithm are tested. The iteration-free method is shown to compare favourably to the classical Euler-backward which includes the Newton iteration process.

KW - FINITE STRAINS

UR - http://www.scopus.com/inward/record.url?scp=85073914742&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/1268/1/012078

DO - 10.1088/1742-6596/1268/1/012078

M3 - Conference article

AN - SCOPUS:85073914742

VL - 1268

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012078

T2 - All-Russian Conference and School for Young Scientists, devoted to 100th Anniversary of Academician L.V. Ovsiannikov on Mathematical Problems of Continuum Mechanics, MPCM 2019

Y2 - 13 May 2019 through 17 May 2019

ER -

ID: 21997665