Solution of viscoelastic creep models for anisotropic materials with linear relation between strain and stress but nonlinear with respect to time

Solution of viscoelastic creep models for anisotropic materials with linear relation between strain and stress but nonlinear with respect to time Научная публикация

Журнал

Applications in Engineering Science
ISSN: 2666-4968

Вых. Данные

Год: 2025, Том: 22, Номер статьи : 100219, Страниц : 5 DOI: 10.1016/j.apples.2025.100219

Ключевые слова

Viscoelasticity, Anisotropic material, Creep, Volterra integral, Variational equation

Авторы

Hiromichi Itou ¹ , Kovtunenko Victor A. ^2,3 , Nakamura Gen ⁴

Организации

1	Chuo University
2	Lavrentyev Institute of Hydrodynamics
3	University of Graz
4	Hokkaido University

In this paper, we investigate anisotropic viscoelastic materials describing (both) creep relaxation and aging. The constitutive response is presented by hereditary integrals with memory kernel matrices using the Voigt–Mandel algebra. When the entries of the memory matrix are proportional with respect to time scale, a viscoelastic solution is constructed based on the variational solution of the corresponding anisotropic linear elastic problem. Example equations are presented, e.g., for orthotropic elastic materials, for standard linear solid (Zener) and Burgers viscoelastic models.

Hiromichi I. , Kovtunenko V.A. , Nakamura G.
Solution of viscoelastic creep models for anisotropic materials with linear relation between strain and stress but nonlinear with respect to time
Applications in Engineering Science. 2025. V.22. 100219 :1-5. DOI: 10.1016/j.apples.2025.100219 OpenAlex

Поступила в редакцию:	23 сент. 2024 г.
Принята к публикации:	2 апр. 2025 г.
Опубликована online:	15 апр. 2025 г.

OpenAlex:

W4409450286

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