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

Результат исследования: Научные публикации в периодических изданияхстатья по материалам конференциирецензирование

1 Цитирования (Scopus)


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.

Язык оригиналаанглийский
Номер статьи012078
Число страниц7
ЖурналJournal of Physics: Conference Series
Номер выпуска1
СостояниеОпубликовано - 16 июл. 2019
СобытиеAll-Russian Conference and School for Young Scientists, devoted to 100th Anniversary of Academician L.V. Ovsiannikov on Mathematical Problems of Continuum Mechanics, MPCM 2019 - Novosibirsk, Российская Федерация
Продолжительность: 13 мая 201917 мая 2019


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