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Geomechanics and Engineering Volume 35, Number 6, December25 2023 , pages 637-646 DOI: https://doi.org/10.12989/gae.2023.35.6.637 |
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Propagation behaviors of guided waves in graphene platelet reinforced metal foam plates |
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Wubin Shan, Hao Zhong, Nannan Zhang and Guilin She
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| Abstract | ||
| At present, the research on wave propagation in graphene platelet reinforced composite plates focuses on the propagation behavior of bulk waves, in which the effect of boundary condition is ignored, there is no literature report on propagation behaviors of guided waves in graphene platelet reinforced metal foams (GPLRMF) plates. In fact, wave propagation is affected by boundary conditions, so it is necessary to study the propagation characteristics of guided waves. The aim of this paper is to solve this problem. The effective performance of the material was calculated using the mixing law. Equations of motion of GPLRMF plate is derived by using Hamilton's principle. Then, the eigenvalue method is used to obtain the expressions of bending wave, shear wave and longitudinal wave, and the degradation verification is carried out. Finally, the effects of graphene platelets (GPLs) volume fraction, elastic foundation, porosity coefficient, GPLs distribution types and porosity distribution types on the dispersion relations are studied. We find that these factors play an important role in the propagation characteristics and phase velocity of guided waves. | ||
| Key Words | ||
| galerkin principle; graphene platelets; metal foams; phase velocity; platephase velocity; wave propagation | ||
| Address | ||
| Wubin Shan: Hunan Electrical College of Technology, School of elevator engineering, Xiangtan 411100, China; College of Mechanical and Vehicle Engineering, Hunan University, Changsha 410082, China Hao Zhong and Nannan Zhang: Hunan Electrical College of Technology, School of elevator engineering, Xiangtan 411100, China Guilin She: College of Mechanical and Vehicle Engineering, Chongqing University, Chongqing 400044, China | ||