A three-scale asymptotic analysis for ageing linear viscoelastic problems of composites with multiple configurations

DOI10.1016/j.apm.2019.02.021zbMath1481.74638OpenAlexW2916272519WikidataQ128321133 ScholiaQ128321133MaRDI QIDQ2310652

Tianyu Guan, Yi Sun, Hao Dong, Zhiqiang Yang, Yi-Zhi Liu

Publication date: 6 April 2020

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2019.02.021

zbMATH Keywords

homogenizationmultiple configurationsageing linear viscoelasticthree-scale asymptotic expansion

Mathematics Subject Classification ID

Composite and mixture properties (74E30) Linear constitutive equations for materials with memory (74D05) Homogenization in equilibrium problems of solid mechanics (74Q05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) PDEs in connection with mechanics of deformable solids (35Q74)

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Two-scale and three-scale asymptotic computations of the Neumann-type eigenvalue problems for hierarchically perforated materials ⋮ Hierarchical heterogeneous one-dimensional problem in linear viscoelastic media ⋮ A three-scale asymptotic expansion for predicting viscoelastic properties of composites with multiple configuration ⋮ Second-order three-scale asymptotic analysis and algorithms for Steklov eigenvalue problems in composite domain with hierarchical cavities ⋮ On the effective behavior of viscoelastic composites in three dimensions

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