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Research Papers

The Failure Behavior of Geometrically Asymmetric Metal Foam Core Sandwich Beams Under Three-Point Bending

[+] Author and Article Information
Jianxun Zhang, Weilong Ai, Huimin Li

State Key Laboratory for Strength and Vibration
of Mechanical Structures,
Department of Engineering Mechanics,
Xi'an Jiaotong University,
Xi'an 710049, China

Qinghua Qin

State Key Laboratory for Strength and Vibration
of Mechanical Structures,
Department of Engineering Mechanics,
Xi'an Jiaotong University,
Xi'an 710049, China
e-mail: qhqin@mail.xjtu.edu.cn

State Key Laboratory for Strength and Vibration of Mechanical Structures,
Department of Engineering Mechanics,
Xi'an Jiaotong University,
Xi'an 710049, China
e-mail: wangtj@mail.xjtu.edu.cn

1Corresponding authors.

Manuscript received January 7, 2014; final manuscript received March 11, 2014; accepted manuscript posted March 17, 2014; published online April 16, 2014. Editor: Yonggang Huang.

J. Appl. Mech 81(7), 071008 (Apr 16, 2014) (12 pages) Paper No: JAM-14-1021; doi: 10.1115/1.4027200 History: Received January 07, 2014; Revised March 11, 2014; Accepted March 17, 2014

The failure behavior of geometrically asymmetric sandwich beams with a metal foam core is analytically and experimentally investigated. New initial failure modes of the asymmetric sandwich beams are observed under three-point bending, i.e., face yield, face wrinkling, core shear A, core shear AB, core shear A-AB, and indentation. It is shown that the initial failure modes of sandwich beams depend on the span of the beam, the thicknesses of top and bottom face sheets, core height and material properties. We derived the analytical formulae for the initial failure loads and then constructed the initial failure mechanism maps for the geometrically asymmetric sandwich beams. It is shown that the analytically predicted initial failure mechanism maps are in good agreement with the experimental results, which are clearly different from the symmetric sandwich beams. As a preliminary application, the minimum weight designs are presented for asymmetric metal sandwich beams.

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Figures

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Fig. 1

A geometrically asymmetric sandwich beam under three-point bending

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Fig. 2

Experimental measured load–deflection curves (a) and face yield images for the symmetric specimen 1-1 with α = 1 (b) and geometrically asymmetric specimen 2-1 with α = 2 (c) under three-point bending

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Fig. 3

Experimental results of the load–deflection curve (a) and face wrinkling image (b) for the geometrically asymmetric sandwich specimen 3-9 with α = 1/2 under three-point bending

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Fig. 4

Experimental results of the load–deflection curves (a) and the images of core shear mode A for the symmetric specimen 1-33 with α = 1 (b) and geometrically asymmetric sandwich specimens 2-25 with α = 2 (c) and 3-33 with α = 1/2 (d) under three-point bending

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Fig. 5

Experimental results of the load–deflection curves (a) and the images of core shear mode AB for the symmetric specimen 1-20 with α = 1 (b) and geometrically asymmetric sandwich specimens 2-21 with α = 2 (c) under three-point bending

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Fig. 6

Experimental results of the load–deflection curve (a) and the image of core shear mode A-AB (b) for the geometrically asymmetric sandwich specimen 2-40 with α = 2 under three-point bending

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Fig. 7

Experimental results of the load–deflection curves (a) and the images of indentation for the symmetric specimen 1-15 with α = 1 (b) and geometrically asymmetric specimens 2-16 with α = 2 (c) and 3-29 with α = 1/2 (d) under three-point bending

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Fig. 8

The load–deflection curves of the three kinds of sandwich beam specimen 1-30 (α = 1), specimen 2-31 (α = 2) and specimen 3-40 (α = 1/2) with approximately equal core thickness and sandwich beam weight

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Fig. 9

Failure modes of geometrically asymmetric sandwich beams. (a) Face yield, (b) face wrinkling, (c) core shear mode A, (d) core shear mode B, (e) core shear mode AB, (f) core shear mode A-AB and (g) indentation.

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Fig. 10

Locations of the plastic neutral surfaces in the sandwich cross section. (a) In the core, 0 ≤ zp ≤ c/2; (b) in the core, − c/2 ≤ zp ≤ 0; (c) in the top face sheet, c/2 < zp ≤ c/2 + ht; and (d) in the bottom face sheet, −(c/2 + hb) ≤ zp < −c/2 for asymmetric sandwich rectangular cross-sections in pure bending.

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Fig. 11

Failure mechanism maps of symmetric and geometrically asymmetric sandwich beams under three-point bending. (a) α = 1, (b) α = 2, and (c) α = 1/2. “FY”—face yield, “FW”—face wrinkling, “CSA”—core shear mode A, “CSAB”—core shear mode AB, “CSA-AB”—core shear mode A-AB, “IN”—indentation.

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Fig. 12

Contours of the dimensionless weight M¯ and the load index F¯, and the predicted trajectory of the minimum weight designs for symmetric and asymmetric sandwich beams under three-point bending. (a) α = 1, (b) α = 2, and (c) α = 1/2.

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