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Extending uniaxial material laws to multiaxial constitutive relations: H-approach Научная публикация

Журнал European Journal of Mechanics - A/Solids
Вых. Данные Год: 2020, Номер статьи : 103937, Страниц : 9 DOI: 10.1016/j.euromechsol.2019.103937
Ключевые слова Finite strains Constitutive modelling Concept of representative directions Hencky strain Electrospun polymer
Авторы Shutov A.V. 1,2 , Laktionov P.P. 3 , Nekrasova Ya.S. 2
Организации
1 Lavrentyev Institute of Hydrodynamics
2 Novosibirsk State University
3 Institute of Chemical Biology and Fundamental Medicine

Реферат: A simple method is presented, allowing us to extend any one-dimensional material model to a general material law suitable for arbitrary multiaxial loading conditions. The resulting system of constitutive equations respects the general principles of constitutive modelling, thus preserving thermodynamic consistency and objectivity. The method is based on a certain modification of the concept of representative directions. Since it operates with logarithmic Hencky strains we call it H-approach. In contrast to the conventional concept of representative directions, which we call now C-approach, the H-approach does not require artificial deviatorization of the stress tensor. Moreover, the H-approach allows one to model initially isotropic materials with a smaller number of representative directions, thus reducing the computational costs. The performance of the H-approach regarding the description of second-order effects under simple shear is tested. The flexibility of the H-approach in describing mechanical response of a real material is also demonstrated. Toward that end, a complex mechanical behaviour of certain electrospun polymer is rendered.
Библиографическая ссылка: Shutov A.V. , Laktionov P.P. , Nekrasova Y.S.
Extending uniaxial material laws to multiaxial constitutive relations: H-approach
European Journal of Mechanics - A/Solids. 2020. 103937 :1-9. DOI: 10.1016/j.euromechsol.2019.103937 Scopus РИНЦ OpenAlex
Идентификаторы БД:
Scopus: 2-s2.0-85077737743
РИНЦ: 43231064
OpenAlex: W2997616595
Цитирование в БД:
БД Цитирований
Scopus 4
OpenAlex 5
РИНЦ 4
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