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TECHNICAL PAPERS

In-Plane Stiffness and Yield Strength of Periodic Metal Honeycombs

[+] Author and Article Information
A.-J. Wang, D. L. McDowell

GWW School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0405, USA

J. Eng. Mater. Technol 126(2), 137-156 (Mar 18, 2004) (20 pages) doi:10.1115/1.1646165 History: Received July 24, 2002; Revised October 16, 2003; Online March 18, 2004
Copyright © 2004 by ASME
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References

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Figures

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Periodic honeycombs with different cell shapes: (a) square cell; (b) hexagonal supercell comprised of equilateral triangles; (c) regular hexagonal cell; (d) square supercell constructed from mix of squares and triangles; (e) Kagome cell; (f ) rectangular cell; and (g) diamond cell.
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Schematic mechanical response of metallic honeycombs under in-plane compression
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Stress-strain curve for elastic-perfectly plastic cell wall behavior
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An infinitely periodic square cell honeycomb, with X1 and X2 axes along cell wall directions
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Unit cell under uniaxial compressive loading
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Cell deformation by initial yielding/short column plastic collapse or elastic buckling. Cell walls are treated as fixed-end columns.
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Unit cell deformation leading to plastic collapse under shear loading: (a) deformation mode; and (b) cell walls acting as cantilever beams.
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Deformation under diagonal loading: (a) compression along the 45 deg direction; (b) a unit cell; and (c) deformation of a representative cell wall.
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Triangular cell honeycomb under two cases of compressive loading
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Triangular cell honeycomb under shear loading
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Deformation of unit cell
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Deformation under compression in the X1 direction
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Deformation under compression in the X1 direction: (a) group of cells; and (b) deformation of cell walls.
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Deformation under in-plane shear loading: (a) group of cells; and (b) deformation of unit cell.
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Deformation under diagonal compression: (a) loading at 45 deg, and (b) deformation of a group of representative cell walls.
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Deformation under compression in the X1 direction: (a) group of cells; and (b) deformation of a unit cell.
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Deformation under compression in the X2 direction: (a) group of cells; and (b) deformation of a unit cell.
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Deformation under in-plane shear loading: (a) group of cells; and (b) deformation of a unit cell.
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An infinitely periodic rectangular cell honeycomb
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Unit cell deformation under in-plane shear loading: (a) deformation mode; and (b) treating half of a cell wall like a cantilever beam.
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Diagonal compression: (a) loading in diagonal direction; and (b) deformation of a representative cell wall.
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Deflection of unit cell walls
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Deformation under diagonal compressive loading
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Diamond cell honeycomb structure: (a) simple diamond unit cell; and (b) periodic cell structure.
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Effective Young’s modulus comparison
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Effective shear modulus comparison
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Initial yield strength comparison
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Initial shear yield strength comparison
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Elastic buckling and post yield deformation of cell wall: (a) a single cell wall under axial stress; (b) fixed-free; and (c) fixed-fixed.
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In-plane effective elastic modulus of triangular cell honeycomb compared with stochastic foams
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In-plane yield strength of triangular cell honeycomb compared with stochastic foams

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