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Effective stiffness and effective compressive yield strength for unit-cell model of complex truss

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Abstract

In this study, the objective was to find the effective stiffness and effective strength for an intricate truss model. The model integrates three different types of unit-cell models: a microlattice truss, crossed tetrahedron truss, and regular hexahedron truss. The ideal solutions for the relative density, relative Young’s modulus, and relative compressive yield strength were derived. These were compared with the simulated results of computational models based on aspect ratios (ARs) of 0.2, 0.4, and 0.8 when either the truss diameter or truss length was constant. Commercial software was used for modeling, and the material properties of type 304 stainless steel were applied. The effective stiffness of the unit-cell model of the intricate truss was found to be proportionally correlated with the relative density; the effective strength was correlated with the relative density by a power law of 3/2, which means an open-cell model.

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Abbreviations

AR:

Aspect ratio

FE:

Finite element

FEA:

Finite element analysis

FEM:

Finite element method

d :

Truss diameter

l :

Truss length

ρ*:

Density of foam itself

ρ s :

Density of the applied material

V* :

Volume of foam itself

V s :

Volume of applied material

E* :

Elastic modulus of foam itself

E s :

Elastic modulus of applied material

σ* :

Volume of foam itself

σ s :

Volume of applied material

R 2 :

Measure of goodness of fit of trendline to data

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Acknowledgments

This work was supported by Researching and Development Department, Samjung E&W Co. Ltd., Republic of Korea.

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Authors and Affiliations

  1. Research Institute, Samjung E&W Co. Ltd., Changwon City, Gyeongsangnamdo, Republic of Korea

    Jeongho Choi & Tae-Soo Chae

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  1. Jeongho Choi
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  2. Tae-Soo Chae
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Correspondence to Jeongho Choi.

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Choi, J., Chae, TS. Effective stiffness and effective compressive yield strength for unit-cell model of complex truss. Int J Mech Mater Des 11, 91–110 (2015). https://doi.org/10.1007/s10999-014-9267-9

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  • DOI: https://doi.org/10.1007/s10999-014-9267-9

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