@inproceedings{bb152ea4fe504a69bcf8ae9e3bfbac0b,
title = "Homogenization and equivalent in-plane properties of hexagonal and re-entrant honeycombs",
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.",
author = "Stefano Gonella and Massimo Ruzzene",
year = "2008",
doi = "10.1115/IMECE2007-42400",
language = "English (US)",
isbn = "0791843041",
series = "ASME International Mechanical Engineering Congress and Exposition, Proceedings",
publisher = "American Society of Mechanical Engineers (ASME)",
pages = "1117--1127",
booktitle = "Mechanics of Solids and Structures",
note = "ASME International Mechanical Engineering Congress and Exposition, IMECE 2007 ; Conference date: 11-11-2007 Through 15-11-2007",
}