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Experimental determination of elastic properties of the core in a thin sandwich plate with a metallic truss core

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Abstract

The deformation behavior and stress-strain relationships for a lightweight sandwich plate in the elastic regions are mainly dependent on the elastic properties of the core in the sandwich plate. The aim of this paper is to determine experimentally the elastic properties of a core in a thin sandwich plate with a metallic truss core. Three-points bending experiments were performed to obtain a linear relationship between compliance per span length and the square of the span length for the designed sandwich plate. The specimen was manufactured from the continuous multi-points resistance welding of SUS 3O4H sheets and crimped metallic truss cores. The elastic and shear moduli of the core were estimated by the slopes and the intercepts of the linear relationship, respectively. Through the comparison of the shear moduli and force-deflection considering the core stiffness with those disregarding the core stiffness, it was shown that the core stiffness should be considered to estimate accurately the elastic and shear moduli of a core as well as the force-deflection curves of a thin sandwich plate with a metallic truss core. The contribution ratios of the bending and shear deflections of the thin sandwich plate to the total deflection were investigated. In addition, the influence of the crimping angle on the elastic properties, the force-deflection curves, and the contribution ratios of both bending and shear deflections to the total deflection was examined.

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Abbreviations

Π:

flexural rigidity of the sandwich plate

Π1 :

local stiffness of the face sheet

Π2 :

bending stiffness of the face sheet

Π3 :

bending stiffness of the core

tf :

thickness of the face sheet

S:

span length in three-points bending test

b:

width of the sandwich plate

α:

thickness of core

β:

distance between neutral axes of face sheets

γ:

thickness of sandwich plate

ϖf :

elastic modulus of face sheets

ϖc :

elastic modulus of the core

F:

measured force in three-points bending test

δb,max :

maximum deflection of the sandwich beam induced by bending moment

δs,max :

maximum deflection of the sandwich beam induced by shear load

Ωc :

shear modulus of the core

δ:

deflection in the center of the sandwich beam

ηs :

compliance per span length

κa :

slope of linear relationship between the compliance per span length and the square of span length

κb :

intercept of linear relationship between the compliance per span length and the square of span length

ξ:

length of struts of unit rhombic mesh

ts :

thickness of struts of unit rhombic mesh

ϕa :

acute angle of unit rhombic mesh

ϕc :

crimping angle of the truss core

n1 :

the number of truss structures per unit length in the width direction

n2 :

the number of truss structures per unit length in the length direction

k:

elastic stiffness of a sandwich beam

η:

compliance of a sandwich beam

ηs :

compliance per span length of a sandwich beam

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Correspondence to Dong-Gyu Ahn.

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Ahn, DG., Nam, GH., Jung, CG. et al. Experimental determination of elastic properties of the core in a thin sandwich plate with a metallic truss core. Int. J. Precis. Eng. Manuf. 10, 107–113 (2009). https://doi.org/10.1007/s12541-009-0101-5

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