Circular Cylindrical Shell Made of Neo-Hookean-Fung Hyperelastic Material Under Static and Dynamic Pressure
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Дата
2016
ORCID
DOI
Науковий ступінь
Рівень дисертації
Шифр та назва спеціальності
Рада захисту
Установа захисту
Науковий керівник
Члени комітету
Видавець
NTU "KhPI"
Анотація
The present study is devoted to the investigation of static and dynamic behavior of the three-layered composite
shell made of hyperelastic material. Such a shell can be considered as a model of human aorta. Since soft
biological materials are essentially nonlinear even in the elasticity zone, not only geometrical, but also
physical nonlinearity should be taken into account. The physical nonlinearity of soft biological tissues is
usually modeled by certain hyperelastic law. The law chosen for this study is the combination of the Neo-
Hookean law, which describes the isotropic response at small strains, and Fung exponential law, that models
the stiff anisotropic response of the collagen fibers at larger strains. Each of three shell layers has its own
hyperelastic constants set. These constants are determined basing on experiential data [1]. The straindeflection
relations are modeled with higher-order shear deformation theory [2].
Initially, the shell is preloaded with static pressure. Since the defection in our study is large we use the
expression for pressure as a follower load [3]. The static problem is solved with the help of the local models
method [4]. Afterwards, the free and forced dynamical response of the preloaded shell is studied both in vacuo
and with still fluid inside. The modes of interest are the first axisymmetric mode and mode with two half-waves
in circumferential direction (so-called collapse mode).
It is found that static pressure decreases the dynamic nonlinearity and it is quite weak. At the same time, the
presence of fluid makes the softening nonlinearity stronger as in case of shells of conventional material [5].
Опис
Ключові слова
hyperelastic material, free and forced dynamical response
Бібліографічний опис
Breslavsky I. Circular Cylindrical Shell Made of Neo-Hookean-Fung Hyperelastic Material Under Static and Dynamic Pressure / I. Breslavsky, M. Amabili, M. Legrand // Nonlinear Dynamics–2016 (ND-KhPI2016) : proceedings of 5th International Conference, dedicated to the 90th anniversary of Academician V. L. Rvachev, September 27-30, 2016 = Нелінійна динаміка–2016 : тези доп. 5-ї Міжнар. конф., 27-30 вересня 2016 р. – Kharkov : NTU "KhPI", 2016. – P. 275.