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Research Papers

Coupled Extensional and Flexural Motions of a Two-Layer Plate With Interface Slip

[+] Author and Article Information
Peng Li

School of Human Settlements and
Civil Engineering,
Xi'an Jiaotong University,
Xi'an 710049, Shaanxi, China

Feng Jin

State Key Laboratory for Strength
and Vibration of Mechanical Structures,
Xi'an Jiaotong University,
Xi'an 710049, Shaanxi, China
e-mail: jinfengzhao@263.net

Weiqiu Chen

Department of Engineering Mechanics,
Zhejiang University,
Hangzhou 310027, Zhejiang, China

Jiashi Yang

Department of Mechanical and
Materials Engineering,
University of Nebraska-Lincoln,
Lincoln, NE 68588-0526

1Corresponding author.

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received June 15, 2017; final manuscript received September 6, 2018; published online November 14, 2018. Assoc. Editor: Mahmoud Hussein.

J. Vib. Acoust 141(2), 021009 (Nov 14, 2018) (7 pages) Paper No: VIB-17-1261; doi: 10.1115/1.4041512 History: Received June 15, 2017; Revised September 06, 2018

The effect of imperfect interface on the coupled extensional and flexural motions in a two-layer elastic plate is investigated from views of theoretical analysis and numerical simulations. A set of full two-dimensional equations is obtained based on Mindlin plate theory and shear-slip model, which concerns the interface elasticity and tangential discontinuous displacements across the bonding imperfect interface. Some numerical examples are processed, including the propagation of straight-crested waves in an unbounded plate, the buckling of a finite plate, as well as the deflection of a finite plate under uniform load. It is revealed that the bending-evanescent wave in the composites with a perfect interface eventually cuts-on to a propagating shear-like wave with cutoff frequency when the two sublayers imperfectly bonded. The similar phenomenon has been verified once again for coupled face-shear and thickness-shear waves. It also has been pointed out that the interfacial parameter has a great influence on the performance of static buckling, in which the outcome can be reduced to classical buckling load of a simply supported plate when the interface is perfect.

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Figures

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Fig. 1

A two-layer plate with a weak interface

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Fig. 2

A comparison of the dispersion curves of a sandwich plate with different structural parameters (T=0, δ=0, and Γ=0)

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Fig. 3

Dispersion curves for coupled extensional, flexural, and thickness-shear waves (α=1, β=2, η=4.5, T=0, and δ=0)

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Fig. 4

Dispersion curves for coupled face-shear and thickness-shear waves (α=1, β=2, and η′=4.5)

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Fig. 5

Buckling load versus interface compliance (R=1/20)

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Fig. 6

Normalized center deflection at x1=0 (Q=1 and R=1/20)

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Fig. 7

Nondimensional interface shear stress distribution along x1 direction (Q=1 and R=1/20)

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