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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April 2019
Research-Article
Coupled Extensional and Flexural Motions of a Two-Layer Plate With Interface Slip
Peng Li,
Peng Li
School of Human Settlements and
Civil Engineering,
Xi'an Jiaotong University,
Xi'an 710049, Shaanxi, China
Civil Engineering,
Xi'an Jiaotong University,
Xi'an 710049, Shaanxi, China
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Feng Jin,
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
and Vibration of Mechanical Structures,
Xi'an Jiaotong University,
Xi'an 710049, Shaanxi, China
e-mail: jinfengzhao@263.net
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Weiqiu Chen,
Weiqiu Chen
Department of Engineering Mechanics,
Zhejiang University,
Hangzhou 310027, Zhejiang, China
Zhejiang University,
Hangzhou 310027, Zhejiang, China
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Jiashi Yang
Jiashi Yang
Department of Mechanical and
Materials Engineering,
University of Nebraska-Lincoln,
Lincoln, NE 68588-0526
Materials Engineering,
University of Nebraska-Lincoln,
Lincoln, NE 68588-0526
Search for other works by this author on:
Peng Li
School of Human Settlements and
Civil Engineering,
Xi'an Jiaotong University,
Xi'an 710049, Shaanxi, China
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
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
Zhejiang University,
Hangzhou 310027, Zhejiang, China
Jiashi Yang
Department of Mechanical and
Materials Engineering,
University of Nebraska-Lincoln,
Lincoln, NE 68588-0526
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. Apr 2019, 141(2): 021009 (7 pages)
Published Online: November 14, 2018
Article history
Received:
June 15, 2017
Revised:
September 6, 2018
Citation
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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