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Research Papers

Blast Response of a Sandwich Beam/Wide Plate Based on the Extended High-Order Sandwich Panel Theory and Comparison With Elasticity

[+] Author and Article Information
Catherine N. Phan

Graduate Research Assistant

George A. Kardomateas

Professor

Yeoshua Frostig

School of Aerospace Engineering,
Georgia Institute of Technology,
Atlanta, GA 30332-0150

1Presently an Engineer/Scientist at Dynamic Concepts, Inc., Huntsville, AL.

2Professor of Structural Engineering, Technion Israel Institute of Technology, Haifa 32 000, Israel.

Manuscript received June 20, 2012; final manuscript received December 20, 2012; accepted manuscript posted February 11, 2013; published online August 19, 2013. Assoc. Editor: Weinong Chen.

J. Appl. Mech 80(6), 061005 (Aug 19, 2013) (11 pages) Paper No: JAM-12-1251; doi: 10.1115/1.4023619 History: Received June 20, 2012; Revised December 20, 2012; Accepted February 11, 2013

This paper presents a one-dimensional analysis for the blast response of a sandwich beam/wide plate with a compressible core. The dynamic version of the recently developed extended high-order sandwich panel theory (EHSAPT) is first formulated. Material, geometric, and loading parameters are taken from blast experiments reported in literature. The novelty of EHSAPT is that it includes axial rigidity of the core and allows for three generalized coordinates in the core (the axial and transverse displacements at the centroid of the core and the rotation at the centroid of the core) instead of just one (shear stress in the core) of the earlier high-order sandwich panel theory (HSAPT). The solution procedure to determine the dynamic response to a general load applied on the top face sheet of a general asymmetric simply supported configuration is outlined. Although the dynamic EHSAPT is formulated in its full nonlinear version, the solution is for the linear problem so the accuracy of EHSAPT, along with the other theories, can be assessed by comparison to an available dynamic elasticity solution. Results show that the EHSAPT is very accurate and can capture the complex dynamic phenomena observed during the initial, transient phase of blast loading.

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Figures

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Fig. 1

Definition of the sandwich configuration

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Fig. 7

(a) The shear stress τxz at the top (T) and bottom (B) face/core interfaces from the higher-order theories for the soft core configuration. (b) The shear stress τxz at the top (T) and bottom (B) face/core interfaces from the higher order theories for the moderate core configuration.

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Fig. 6

The shear stress τxz at the top (T) and bottom (B) face/core interfaces during the initial phase of blast

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Fig. 5

(a) The transverse normal stress σzz, at the top (T) and bottom (B) face/core interfaces during the initial phase of blast. (b) The transverse normal stress σzz at the bottom face/core interfaces from the high-order theories, showing the cavitationlike behavior (tensile stress during the first 50 μs).

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Fig. 4

Axial displacement at the top face, middle of core, and bottom face at the support location (x = 0) for elasticity, EHSAPT, and HSAPT during the initial phase of blast

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Fig. 3

(a) Transverse displacement at the top face, middle of core, and bottom face at the midspan location from EHSAPT and HSAPT during the first 50 μs showing the cavitation-like behavior of the core. (b) Transverse displacement at the middle of core at the midspan location from elasticity showing the cavitation-like behavior of the core around 20 μs.

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Fig. 2

Transverse displacement at the top face, middle of core, and bottom face at the midspan location for elasticity, EHSAPT, and HSAPT during the initial phase of blast

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