Homogenization and equivalent in-plane properties of hexagonal and re-entrant honeycombs

Stefano Gonella, Massimo Ruzzene

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Scopus citations

Abstract

The investigation of equivalent in-plane properties for hexagonal and re-entrant (auxetic) lattices can be carried out through the analysis of the partial differential equations associated with their homogenized continuum models. A homogenization technique is adopted based on the approximation of the discrete lattice equations according to the finite differences formalism. The technique can be used in conjunction with a finite element (FE) description of the lattice unit cell and therefore allows handling structures with different levels of complexity and various internal geometries within a general and compact framework that can be easily implemented in a numerical code. The in-plane wave propagation characteristics of honeycombs can be investigated with the proposed approach: approximate phase velocities can be calculated from the equations of motion for the low-frequency modes and compared with the exact values obtained through a Fourier analysis of the unit cell.

Original languageEnglish (US)
Title of host publicationProceedings of the ASME International Mechanical Engineering Congress and Exposition, IMECE 2007
Pages1117-1127
Number of pages11
DOIs
StatePublished - May 30 2008
EventASME International Mechanical Engineering Congress and Exposition, IMECE 2007 - Seattle, WA, United States
Duration: Nov 11 2007Nov 15 2007

Publication series

NameASME International Mechanical Engineering Congress and Exposition, Proceedings
Volume10 PART B

Other

OtherASME International Mechanical Engineering Congress and Exposition, IMECE 2007
Country/TerritoryUnited States
CitySeattle, WA
Period11/11/0711/15/07

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