TY - GEN
T1 - Homogenization and equivalent in-plane properties of hexagonal and re-entrant honeycombs
AU - Gonella, Stefano
AU - Ruzzene, Massimo
PY - 2008
Y1 - 2008
N2 - 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.
AB - 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.
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U2 - 10.1115/IMECE2007-42400
DO - 10.1115/IMECE2007-42400
M3 - Conference contribution
AN - SCOPUS:44349115054
SN - 0791843041
SN - 9780791843048
T3 - ASME International Mechanical Engineering Congress and Exposition, Proceedings
SP - 1117
EP - 1127
BT - Proceedings of the ASME International Mechanical Engineering Congress and Exposition, IMECE 2007
T2 - ASME International Mechanical Engineering Congress and Exposition, IMECE 2007
Y2 - 11 November 2007 through 15 November 2007
ER -