Spatial and temporal averaging in the homogenisation of the elastodynamic response of periodic laminates

İrem Yağmuroğlu, Zuhal Ozdemir, Harm Askes*

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

1 Citation (Scopus)
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Abstract

This paper suggests a methodology to obtain homogenised material properties from a transient dynamic numerical model. The standard Hill–Mandel Principle, based on spatial averages, is extended with time averaging. Thus, in addition to a sufficiently large Representative Volume Element (RVE) to carry out the averaging in space, a sufficiently large time window is required to carry out the time averaging. The space–time averaging procedure is validated for a periodic laminate bar subjected to a variety of boundary conditions, impedance contrasts and loading conditions. The homogenised results converge to the analytical solutions and confirm that having a higher impedance contrast between laminate components requires not only larger RVE sizes but also longer time averaging windows. The most efficient macroscopic approximation is obtained by a balanced increase in RVE size and time averaging window.

Original languageEnglish
Article number104973
JournalEuropean Journal of Mechanics, A/Solids
Volume100
DOIs
Publication statusPublished - 1 Jul 2023

Keywords

  • Hill–Mandel Principle
  • Homogenisation
  • Multi-scale modelling
  • Representative Volume Element
  • Space–time averaging
  • Wave propagation
  • UT-Hybrid-D

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