IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v258y2015icp489-501.html
   My bibliography  Save this article

Transient analysis of single-layered graphene sheet using the kp-Ritz method and nonlocal elasticity theory

Author

Listed:
  • Zhang, Yang
  • Zhang, L.W.
  • Liew, K.M.
  • Yu, J.L.

Abstract

In this paper, an investigation on the transient analysis of single-layered graphene sheets (SLGSs) is performed using the element-free kp-Ritz method. The classical plate theory is used to describe the dynamic behavior of SLGSs. Nonlocal elasticity theory, in which nonlocal parameter is introduced, is incorporated to reflect the small effect. Newmark’s method is employed to solve the discretized dynamic equations. Several numerical examples are presented to examine the effect of boundary conditions, aspect ratio, side length load distribution type and load variation type on the transient behavior of SLGSs. The present work can serve as the foundation for further investigation of the transient response of multi-layered graphene sheets.

Suggested Citation

  • Zhang, Yang & Zhang, L.W. & Liew, K.M. & Yu, J.L., 2015. "Transient analysis of single-layered graphene sheet using the kp-Ritz method and nonlocal elasticity theory," Applied Mathematics and Computation, Elsevier, vol. 258(C), pages 489-501.
    • Handle: RePEc:eee:apmaco:v:258:y:2015:i:c:p:489-501
    DOI: 10.1016/j.amc.2015.02.023
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300315001769
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2015.02.023?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Philip Ball, 2001. "Roll up for the revolution," Nature, Nature, vol. 414(6860), pages 142-144, November.
    2. Sasha Stankovich & Dmitriy A. Dikin & Geoffrey H. B. Dommett & Kevin M. Kohlhaas & Eric J. Zimney & Eric A. Stach & Richard D. Piner & SonBinh T. Nguyen & Rodney S. Ruoff, 2006. "Graphene-based composite materials," Nature, Nature, vol. 442(7100), pages 282-286, July.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Chang, Chih-Chang & Huang, Wei-Hao & Mai, Van-Phung & Tsai, Jia-Shiuan & Yang, Ruey-Jen, 2021. "Experimental investigation into energy harvesting of NaCl droplet flow over graphene supported by silicon dioxide," Energy, Elsevier, vol. 229(C).
    2. Pandey, Mayank & Deshmukh, Kalim & Raman, Akhila & Asok, Aparna & Appukuttan, Saritha & Suman, G.R., 2024. "Prospects of MXene and graphene for energy storage and conversion," Renewable and Sustainable Energy Reviews, Elsevier, vol. 189(PB).
    3. Tasleem, Sehar & Tahir, Muhammad, 2020. "Current trends in strategies to improve photocatalytic performance of perovskites materials for solar to hydrogen production," Renewable and Sustainable Energy Reviews, Elsevier, vol. 132(C).
    4. Wang, Yingli & Duan, Jialong & Zhao, Yuanyuan & He, Benlin & Tang, Qunwei, 2018. "Harvest rain energy by polyaniline-graphene composite films," Renewable Energy, Elsevier, vol. 125(C), pages 995-1002.
    5. Dasari, Bhagya Lakshmi & Nouri, Jamshid M. & Brabazon, Dermot & Naher, Sumsun, 2017. "Graphene and derivatives – Synthesis techniques, properties and their energy applications," Energy, Elsevier, vol. 140(P1), pages 766-778.
    6. Ramachandran, Rajendran & Saranya, Murugan & Velmurugan, Venugopal & Raghupathy, Bala P.C. & Jeong, Soon Kwan & Grace, Andrews Nirmala, 2015. "Effect of reducing agent on graphene synthesis and its influence on charge storage towards supercapacitor applications," Applied Energy, Elsevier, vol. 153(C), pages 22-31.
    7. Amelia Carolina Sparavigna, 2024. "Graphene, Graphene Oxide and Carbon Nanotubes in Raman Spectroscopy," International Journal of Sciences, Office ijSciences, vol. 13(07), pages 1-26, July.
    8. Ding, Zhixiong & Wu, Wei & Leung, Michael, 2021. "Advanced/hybrid thermal energy storage technology: material, cycle, system and perspective," Renewable and Sustainable Energy Reviews, Elsevier, vol. 145(C).
    9. Zahra Ebrahim Nataj & Youming Xu & Dylan Wright & Jonas O. Brown & Jivtesh Garg & Xi Chen & Fariborz Kargar & Alexander A. Balandin, 2023. "Cryogenic characteristics of graphene composites—evolution from thermal conductors to thermal insulators," Nature Communications, Nature, vol. 14(1), pages 1-10, December.
    10. Wang, Tianyu & Tian, Shouceng & Li, Gensheng & Zhang, Liyuan & Sheng, Mao & Ren, Wenxi, 2021. "Molecular simulation of gas adsorption in shale nanopores: A critical review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 149(C).
    11. Xiaoqian Ma & Nuo Lin & Qing Yang & Peifei Liu & Haizhen Ding & Mengjiao Xu & Fangfang Ren & Zhiyang Shen & Ke Hu & Shanshan Meng & Hongmin Chen, 2024. "Biodegradable copper-iodide clusters modulate mitochondrial function and suppress tumor growth under ultralow-dose X-ray irradiation," Nature Communications, Nature, vol. 15(1), pages 1-13, December.
    12. Zan Li & Yin Zhang & Zhibo Zhang & Yi-Tao Cui & Qiang Guo & Pan Liu & Shenbao Jin & Gang Sha & Kunqing Ding & Zhiqiang Li & Tongxiang Fan & Herbert M. Urbassek & Qian Yu & Ting Zhu & Di Zhang & Y. Mor, 2022. "A nanodispersion-in-nanograins strategy for ultra-strong, ductile and stable metal nanocomposites," Nature Communications, Nature, vol. 13(1), pages 1-13, December.
    13. Hung, Kai-Hsiang & Chan, Chin-Hao & Wang, Hong-Wen, 2014. "Flexible TCO-free counter electrode for dye-sensitized solar cells using graphene nanosheets from a Ti–Ti(III) acid solution," Renewable Energy, Elsevier, vol. 66(C), pages 150-158.
    14. Nuria Novas & Alfredo Alcayde & Isabel Robalo & Francisco Manzano-Agugliaro & Francisco G. Montoya, 2020. "Energies and Its Worldwide Research," Energies, MDPI, vol. 13(24), pages 1-41, December.
    15. Taheri Najafabadi, Amin, 2015. "Emerging applications of graphene and its derivatives in carbon capture and conversion: Current status and future prospects," Renewable and Sustainable Energy Reviews, Elsevier, vol. 41(C), pages 1515-1545.
    16. Qian Dang & Haiping Lin & Zhenglong Fan & Lu Ma & Qi Shao & Yujin Ji & Fangfang Zheng & Shize Geng & Shi-Ze Yang & Ningning Kong & Wenxiang Zhu & Youyong Li & Fan Liao & Xiaoqing Huang & Mingwang Shao, 2021. "Iridium metallene oxide for acidic oxygen evolution catalysis," Nature Communications, Nature, vol. 12(1), pages 1-10, December.
    17. Luo, Dan & Ding, Hong & Guo, Ting & Li, Xiangling & Song, Tianshun & Xie, Jingjing, 2023. "Self-assembly of graphene oxide and Shewanella oneidensis MR-1 formed a conductive bio-abiotic composite for enhancing microbial electrosynthesis performance," Renewable Energy, Elsevier, vol. 215(C).
    18. Liu, Changhui & Qiao, Yu & Du, Peixing & Zhang, Jiahao & Zhao, Jiateng & Liu, Chenzhen & Huo, Yutao & Qi, Cong & Rao, Zhonghao & Yan, Yuying, 2021. "Recent advances of nanofluids in micro/nano scale energy transportation," Renewable and Sustainable Energy Reviews, Elsevier, vol. 149(C).
    19. Han, Chaoling & Chen, Zhenqian, 2021. "Study on the synergism of thermal transport and electrochemical of PEMFC based on N, P co-doped graphene substrate electrode," Energy, Elsevier, vol. 214(C).
    20. Muzaffar, Aqib & Ahamed, M. Basheer & Hussain, Chaudhery Mustansar, 2024. "Green supercapacitors: Latest developments and perspectives in the pursuit of sustainability," Renewable and Sustainable Energy Reviews, Elsevier, vol. 195(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:258:y:2015:i:c:p:489-501. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.