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

Journal Applications in Engineering Science
ISSN: 2666-4968
Output data Year: 2025, Volume: 22, Article number : 100219, Pages count : 5 DOI: 10.1016/j.apples.2025.100219
Tags Viscoelasticity, Anisotropic material, Creep, Volterra integral, Variational equation
Authors Hiromichi Itou 1 , Kovtunenko Victor A. 2,3 , Nakamura Gen 4
Affiliations
1 Chuo University
2 Lavrentyev Institute of Hydrodynamics
3 University of Graz
4 Hokkaido University

Abstract: 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.
Cite: 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 Scopus РИНЦ OpenAlex
Dates:
Submitted: Sep 23, 2024
Accepted: Apr 2, 2025
Published online: Apr 15, 2025
Identifiers:
Scopus: 2-s2.0-105002672756
Elibrary: 80674385
OpenAlex: W4409450286
Citing: Пока нет цитирований
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