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.
Coupled Extensional and Flexural Motions of a Two-Layer Plate With Interface Slip
Xi'an Jiaotong University,
Xi'an 710049, Shaanxi, China
Hangzhou 310027, Zhejiang, China
University of Nebraska-Lincoln,
Lincoln, NE 68588-0526
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.
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Li, P., Jin, F., Chen, W., and Yang, J. (November 14, 2018). "Coupled Extensional and Flexural Motions of a Two-Layer Plate With Interface Slip." ASME. J. Vib. Acoust. April 2019; 141(2): 021009. https://doi.org/10.1115/1.4041512
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