Skip to main content
SpringerLink
Log in

Elastic Instability of the Functionally Graded Porous Cylindrical Panel

  • Conference paper
  • First Online:
Advances in Mechanical and Materials Technology (EMSME 2020)

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

  • 2051 Accesses

Abstract

In present work, the transverse deflection characteristics of a functionally graded porous (FGP) cylindrical panel are analyzed. The FGP cylindrical panel is fabricated by varying the material properties along the thickness direction corresponding to different porosity distributions such as symmetric center-enhanced porosity distribution (SCPD), top-enhanced porosity distribution (TPD) and bottom-enhanced porosity distribution (BPD). The geometrically nonlinear incremental finite element (FE) model of the FGP cylindrical panel is developed. Further, FE governing equation of motion is solved using Newton–Raphson method. Initially, the present model is validated. Substantially, the present results are focused on the influence of various distributions of porous material, value of porosity index and radius of curvature on critical load for the elastic instability of FGP cylindrical panel. It is concluded from the results that critical loads of FGP cylindrical panel occur in ascending order for TPD, BPD and SCPD distributions, respectively.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 229.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 299.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 299.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Lefebvre LP, Banhart J, Dunand DC (2008) Porous metals and metallic foams: current status and recent developments. Adv Eng Mater 10(9):775–787

    Article  Google Scholar 

  2. Pompe W, Worch H, Epple M, Friess W, Gelinsky M, Greil P, Hempel U, Scharnweber D, Schulte K (2003) Functionally graded materials for biomedical applications. Mater Sci Eng A 362(1–2):40–60

    Article  Google Scholar 

  3. Magnucka-Blandzi E (2008) Axi-symmetrical deflection and buckling of circular porous-cellular plate. Thin-Wall Struct 46(3):333–337

    Article  Google Scholar 

  4. Chen D, Yang J, Kitipornchai S (2015) Elastic buckling and static bending of shear deformable functionally graded porous beam. Compos Struct 133:54–61

    Article  Google Scholar 

  5. Ebrahimi F, Zia M (2015) Large amplitude nonlinear vibration analysis of functionally graded Timoshenko beams with porosities. Acta Astro 116:117–125

    Article  Google Scholar 

  6. Akbas SD (2017) Vibration and static analysis of functionally graded porous plates. J Appl Comput Mech 3(3):199–207

    Google Scholar 

  7. Tang H, Li L, Hu Y (2018) Buckling analysis of two-directionally porous beam. Aero Sci Tech 78:471–479

    Article  Google Scholar 

  8. Kitipornchai S, Chen D, Yang J (2017) Free vibration and elastic buckling of functionally graded porous beams reinforced by graphene platelets. Mater Des 116:656–665

    Article  Google Scholar 

  9. Gupta A, Panda S, Rajidi SR (2020) Design of graded laminated composite beam under moving load. Mater Today Proc 26:1572–1579

    Google Scholar 

  10. Wu D, Liu A, Huang Y, Huang Y, Pi Y, Gao W (2018) Dynamic analysis of functionally graded porous structures through finite element analysis. Eng Struct 165:287–301

    Article  Google Scholar 

  11. Wang YQ, Wan YH, Zhang YF (2017) Vibrations of longitudinally traveling functionally graded material plates with porosities. Eur J Mech-A/Sol 66:55–68

    Article  MathSciNet  MATH  Google Scholar 

  12. Rezaei AS, Saidi AR, Abrishamdari M, Mohammadi MP (2017) Natural frequencies of functionally graded plates with porosities via a simple four variable plate theory: an analytical approach. Thin Wall Struct 120:366–377

    Article  Google Scholar 

  13. Thang PT, Nguyen-Thoi T, Lee D, Kang J, Lee J (2018) Elastic buckling and free vibration analyses of porous-cellular plates with uniform and non-uniform porosity distributions. Aero Sci Tech 79:278–287

    Article  Google Scholar 

  14. Heshmati M, Daneshmand F (2019) Vibration analysis of non-uniform porous beams with functionally graded porosity distribution. Proc Inst Mech Eng Part L J Mater Des Appl 233(8):1678–1697

    Google Scholar 

  15. Zhao J, Xie F, Wang A, Shuai C, Tang J, Wang Q (2019) Vibration behavior of the functionally graded porous (FGP) doubly-curved panels and shells of revolution by using a semi-analytical method. Compos Part B Eng 157:219–238

    Article  Google Scholar 

  16. Kumar R, Lal A, Singh BN, Singh J (2020) Non-linear analysis of porous elastically supported FGM plate under various loading. Compos Struct 233:111721

    Article  Google Scholar 

  17. Reddy JN (2014) An introduction to nonlinear finite element analysis: with applications to heat transfer, fluid mechanics, and solid mechanics. Oxford University Press, Oxford

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Indian Institute of Technology Guwahati, Guwahati, India

    Abhay Gupta, Amit Kumar Mangoliwala, Rajidi Shashidhar Reddy & Satyajit Panda

Authors
  1. Abhay Gupta
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Amit Kumar Mangoliwala
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Rajidi Shashidhar Reddy
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Satyajit Panda
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Abhay Gupta .

Editor information

Editors and Affiliations

  1. Department of Technology and Innovation, University of Southern Denmark, Odense, Denmark

    Kannan Govindan

  2. Department of Mechanical Engineering, National Institute of Technology Delhi, New Delhi, India

    Harish Kumar

  3. Physico-Mechanical Metrology, CSIR—National Physical Laboratory, New Delhi, India

    Sanjay Yadav

Rights and permissions

Reprints and permissions

Copyright information

© 2022 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Gupta, A., Mangoliwala, A.K., Reddy, R.S., Panda, S. (2022). Elastic Instability of the Functionally Graded Porous Cylindrical Panel. In: Govindan, K., Kumar, H., Yadav, S. (eds) Advances in Mechanical and Materials Technology . EMSME 2020. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-16-2794-1_71

Download citation

  • DOI: https://doi.org/10.1007/978-981-16-2794-1_71

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-16-2793-4

  • Online ISBN: 978-981-16-2794-1

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation