Time domain homogenisation of elastic and viscoelastic metamaterials

Ismail H.A. Abuzayed, Zuhal Ozdemir, Harm Askes*

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

1 Citation (Scopus)
37 Downloads (Pure)


The mechanical behaviour of metamaterials typically depends on their microstructural configuration and composition, in addition to their relative density. The design of these materials requires extensive experiments or complex finite element models which tend to be numerically demanding. In order to understand, control and optimise the macroscopic mechanical behaviour, in this paper numerical homogenisation is applied to a simple square unit cell with a single inclusion using a combination of elastic and viscoelastic responses on the micro level. Through a systematic analysis of unit cell behaviour with increasingly complex microstructural configurations, it is shown how certain macroscale constitutive laws can be obtained in a controlled and controllable manner.
Original languageEnglish
Number of pages19
JournalMechanics of Time-Dependent Materials
Early online date7 Sept 2022
Publication statusPublished - 2022


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