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Elastoplastic response and recoil of lattice structures under hyperbolic hardening

Elastoplastic response and recoil of lattice structures under hyperbolic hardening
Elastoplastic response and recoil of lattice structures under hyperbolic hardening
Elastoplastic response and recoil analyses for hexagonal honeycomb lattice structures are presented when hardening is described by a hyperbolic law. By exploiting the translational symmetry of the problem, the analysis is reduced to that of a thin beam under combined bending and axial loading coupled with the kinematics of lattice deformation and its relationship with cell wall deformation. A closed-form solution for the load-curvature relationship of a beam with rectangular cross-section is obtained. A systematic study of beam response, as the stress-strain curve of the constituent material approaches an ideal elastic-perfectly plastic law, is presented. The analysis is then applied to an infinite honeycomb sheet under remote tensile load to obtain the apparent non-linear structural response. Apparent recoil of such a lattice material upon unloading is also calculated in closed form, when unloading is assumed to take place along a linear stress-strain curve. The analytical results are in excellent agreement with the numerical calculations.
1738-494X
1667-1675
Bonfanti, Alessandra
61f52944-226a-4078-8e50-88036bf85dc8
Syngellakis, Stavros
1279f4e2-97ec-44dc-b4c2-28f5ac9c2f88
Bhaskar, Atul
d4122e7c-5bf3-415f-9846-5b0fed645f3e
Bonfanti, Alessandra
61f52944-226a-4078-8e50-88036bf85dc8
Syngellakis, Stavros
1279f4e2-97ec-44dc-b4c2-28f5ac9c2f88
Bhaskar, Atul
d4122e7c-5bf3-415f-9846-5b0fed645f3e

Bonfanti, Alessandra, Syngellakis, Stavros and Bhaskar, Atul (2018) Elastoplastic response and recoil of lattice structures under hyperbolic hardening. Journal of Mechanical Science and Technology, 32 (4), 1667-1675. (doi:10.1007/s12206-018-0323-5).

Record type: Article

Abstract

Elastoplastic response and recoil analyses for hexagonal honeycomb lattice structures are presented when hardening is described by a hyperbolic law. By exploiting the translational symmetry of the problem, the analysis is reduced to that of a thin beam under combined bending and axial loading coupled with the kinematics of lattice deformation and its relationship with cell wall deformation. A closed-form solution for the load-curvature relationship of a beam with rectangular cross-section is obtained. A systematic study of beam response, as the stress-strain curve of the constituent material approaches an ideal elastic-perfectly plastic law, is presented. The analysis is then applied to an infinite honeycomb sheet under remote tensile load to obtain the apparent non-linear structural response. Apparent recoil of such a lattice material upon unloading is also calculated in closed form, when unloading is assumed to take place along a linear stress-strain curve. The analytical results are in excellent agreement with the numerical calculations.

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Accepted/In Press date: 29 December 2017
e-pub ahead of print date: 18 April 2018
Published date: April 2018

Identifiers

Local EPrints ID: 417169
URI: https://eprints.soton.ac.uk/id/eprint/417169
ISSN: 1738-494X
PURE UUID: 3d9e8238-4e8c-4319-92d2-0bc230590806

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Date deposited: 23 Jan 2018 17:30
Last modified: 24 May 2018 16:31

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