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Elastoplastic response and recoil of honeycomb lattices

Elastoplastic response and recoil of honeycomb lattices
Elastoplastic response and recoil of honeycomb lattices
This paper presents elasto-plastic response and recoil analysis of two-dimensional honeycombs. The architecture studied here possesses cell wall bending as the dominant mechanism of deformation. Elasto-plastic analysis of cell walls, in conjunction with the kinematics of the deformation of the lattice, enables us to obtain closed form plastic response as well as recoil upon unloading. Elastic- perfectly plastic cell wall material is considered. A smooth apparent structural response is observed although the material model is piece-wise linear. The apparent Poisson's ratio of the porous honeycomb material, in the plastic regime, is derived from the lateral response calculation. In the non-linear regime of deformation, the Poisson's ratio of honeycombs remains independent of the apparentstrain of the lattice. A parametric study of the non-linear response involving systematic changes in the parameters is carried out. This suggests the existenceof non-dimensional groups that could provide response relationship valid for all geometric and material parameters. Scaling arguments are developed and a scaling ansatz is proposed which leads to data collapse, based upon which, a family of honeycombs can be analytically characterised for elasto-plastic response. Data collapse thus obtained provides a master-curve for structure-property relationship for plasticity of honeycombs which separates the individual cell wall mechanics from the lattice kinematics.
0997-7538
77-88
Bonfanti, Alessandra
61f52944-226a-4078-8e50-88036bf85dc8
Bhaskar, Atul
d4122e7c-5bf3-415f-9846-5b0fed645f3e
Bonfanti, Alessandra
61f52944-226a-4078-8e50-88036bf85dc8
Bhaskar, Atul
d4122e7c-5bf3-415f-9846-5b0fed645f3e

Bonfanti, Alessandra and Bhaskar, Atul (2018) Elastoplastic response and recoil of honeycomb lattices. European Journal of Mechanics - A/Solids, 71, 77-88. (doi:10.1016/j.euromechsol.2017.12.003).

Record type: Article

Abstract

This paper presents elasto-plastic response and recoil analysis of two-dimensional honeycombs. The architecture studied here possesses cell wall bending as the dominant mechanism of deformation. Elasto-plastic analysis of cell walls, in conjunction with the kinematics of the deformation of the lattice, enables us to obtain closed form plastic response as well as recoil upon unloading. Elastic- perfectly plastic cell wall material is considered. A smooth apparent structural response is observed although the material model is piece-wise linear. The apparent Poisson's ratio of the porous honeycomb material, in the plastic regime, is derived from the lateral response calculation. In the non-linear regime of deformation, the Poisson's ratio of honeycombs remains independent of the apparentstrain of the lattice. A parametric study of the non-linear response involving systematic changes in the parameters is carried out. This suggests the existenceof non-dimensional groups that could provide response relationship valid for all geometric and material parameters. Scaling arguments are developed and a scaling ansatz is proposed which leads to data collapse, based upon which, a family of honeycombs can be analytically characterised for elasto-plastic response. Data collapse thus obtained provides a master-curve for structure-property relationship for plasticity of honeycombs which separates the individual cell wall mechanics from the lattice kinematics.

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Accepted/In Press date: 14 December 2017
e-pub ahead of print date: 27 February 2018
Published date: September 2018

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Local EPrints ID: 417313
URI: https://eprints.soton.ac.uk/id/eprint/417313
ISSN: 0997-7538
PURE UUID: 4c887d2c-5d17-40a2-b110-a551a05673d7

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Date deposited: 29 Jan 2018 17:30
Last modified: 14 Mar 2019 05:18

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