A three-scale asymptotic expansion for predicting viscoelastic properties of composites with multiple configuration

Zhiqiang Yang, Yi Sun, Junzhi Cui, Jingran Ge*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)

Abstract

A novel three-scale asymptotic expansion used to evaluate viscoelastic analysis of composites with multiple configuration is systematically studied. The heterogeneities of composite structures are described by periodic layout of unit cells on the microscale and mesoscale. Firstly, the three-scale asymptotic formulations based on homogenization approach and Laplace transform are established, and the local cell solutions in microscale and mesoscale are also defined. Further, two kinds of homogenized coefficients are derived by upscaling methods, and the homogenized equations are obtained on whole macroscopic domain. Also, the strain and stress fields are constructed as three-scale asymptotic solutions by assembling the unit cell solutions and homogenized solutions. Then, the finite element algorithms based on inverse Laplace transform and the three-scale asymptotic homogenization are proposed. Finally, some typical numerical results are employed to validate the presented approaches. They illustrate that the three-scale asymptotic approaches proposed in this paper are efficient and accurate for analyzing the viscoelastic problems of the composites with multiple configuration.

Original languageEnglish
Pages (from-to)235-246
Number of pages12
JournalEuropean Journal of Mechanics, A/Solids
Volume76
DOIs
Publication statusPublished - 1 Jul 2019

Keywords

  • Laplace transform
  • Viscoelastic problems
  • three-scale asymptotic homogenization

Fingerprint

Dive into the research topics of 'A three-scale asymptotic expansion for predicting viscoelastic properties of composites with multiple configuration'. Together they form a unique fingerprint.

Cite this

Yang, Z., Sun, Y., Cui, J., & Ge, J. (2019). A three-scale asymptotic expansion for predicting viscoelastic properties of composites with multiple configuration. European Journal of Mechanics, A/Solids, 76, 235-246. https://doi.org/10.1016/j.euromechsol.2019.04.016