Buckling Analysis of Porous Functionally Graded Plates in Thermal Environment by Using a Meshfree Method

  • Conference paper
  • First Online:
Proceedings of the Third International Conference on Sustainable Civil Engineering and Architecture (ICSCEA 2023)

Part of the book series: Lecture Notes in Civil Engineering ((LNCE,volume 442))

  • 62 Accesses

Abstract

This paper presents the buckling analysis of thermal-loaded rectangular plates made of porous functionally graded material (FGM). FGM has mechanical properties that continuously vary through thickness. Porous FGM is a branch of FGM and it takes into account the porosity of the material. In this study, the Reissner-Mindlin plate theory is implemented for plates computation with the help of the radial point interpolation method (RPIM). The main advantage of RPIM compared to other meshfree methods is the satisfaction of the Kronecker delta property that allows directly imposing boundary conditions on field nodes. Equilibrium and stability equations derived from the virtual work principle are used to determine pre-buckling and critical buckling temperatures. Besides, the influence of pores distribution on the critical buckling temperature is also investigated. Many numerical examples are presented in the paper showing excellent agreement with other reliable references. The obtained results show that the environment temperature, power-law index, porosity and porosity distribution through the thickness affect the critical temperature of the plates.

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

Access this chapter

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
EUR 29.95
Price includes VAT (Germany)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
EUR 373.43
Price includes VAT (Germany)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
EUR 481.49
Price includes VAT (Germany)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free ship** 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. Parveen K, Ratnesh KRS (2022) Recent trends and future outlooks in manufacturing methods and applications of FGM: a comprehensive review. Mater Manuf Process 37(3)

    Google Scholar 

  2. Reddy JN (1998) Thermalmechanical analysis of functionally graded cylinders and plates. J Thermal Stress 21(6)

    Google Scholar 

  3. Pham HC, Nguyen DK, Nguyen DD (2018) Nonlinear thermomechanical buckling and post-buckling response of porous FGM plates using Reddy’s HSDT. Aerosp Sci Technol 77:419–428

    Article  Google Scholar 

  4. Mengzhen L, Renjun Y (2021) Free vibration analysis of FGM plates on Winkler/Pasternak/Kerr foundation by using a simple quasi-3D HSDT. Compos Struct 264

    Google Scholar 

  5. Nguyen DD, Vu DL (2015) Nonlinear dynamic analysis and vibration of shear deformable piezoelectric FGM double curved shallow shells under dam**-thermo-electro-mechanical loads. Compos Struct 125:29–40

    Article  Google Scholar 

  6. Loc VT, Jaehong L, Wahab MA, Nguyen XH (2015) Vibration analysis of cracked FGM plates using higher-order shear deformation theory and extended isogeometric approach. Int J Mech Sci 96–97:65–78

    Google Scholar 

  7. Esther F (1997) Buckling analysis of functionally graded plates subjected to uniaxial loading. Compos Struct 38:29–36

    Article  Google Scholar 

  8. Tran TT, Pham QH, Ashraf MZ (2021) Extended four-unknown higher-order shear deformation nonlocal theory for bending, buckling and free vibration of functionally graded porous nanoshell resting on elastic foundation. Compos Struct 264

    Google Scholar 

  9. Shariyat M (2008) Dynamic buckling of suddenly loaded imperfect hybrid FGM cylindrical shells with temperature-dependent material properties under thermo-electro-mechanical loads. Int J Mech Sci 50(12):1561–1571

    Article  Google Scholar 

  10. Mohammad T (2014) Stochastic perturbation-based finite element for buckling statistics of FGM plates with uncertain material properties in thermal environments. Compos Struct 108:823–833

    Article  Google Scholar 

  11. Do VT, Nguyen DD (2022) Thermal buckling analysis of cracked functionally graded plates. Int J Struct Stab Dyn 22(08)

    Google Scholar 

  12. Nguyen DD, Do VT (2018) On the buckling behavior of multi-cracked FGM plates. In: International conference on advances in computational mechanics, pp 29–45

    Google Scholar 

  13. Kumar R, Lal A, Singh J (2022) Numerical simulation of the thermomechanical buckling analysis of bidirectional porous functionally graded plate using collocation meshfree method. Proc Inst Mech Eng. J Mater: Des Appl 236(4):787–807

    Google Scholar 

  14. Chan DQ, Quan TQ, Phi BG, Hieu VD, Nguyen DD (2022) Buckling analysis and dynamic response of FGM sandwich cylindrical panels in thermal environments using nonlocal strain gradient theory. Acta Mech 233(6):2213–2235

    Article  MathSciNet  MATH  Google Scholar 

  15. Vu TV, Cao HL, Truong GT, Kim CS (2022) Buckling analysis of the porous sandwich functionally graded plates resting on Pasternak foundations by Navier solution combined with a new refined quasi-3D hyperbolic shear deformation theory. Mech Based Des Struct Mach 1–27

    Google Scholar 

  16. Bui TK, Nguyen VTL, Nguyen TN, Truong TT (2020) Meshless radial point interpolation method for hyperelastic materials. Proc Int Sympos Appl Sci 3:223–230

    Google Scholar 

  17. Liu GR, Zhang GY (2005) A meshfree radial point interpolation method (RPIM) for three-dimensional solids. Comput Mech 36:421–430

    Article  MathSciNet  MATH  Google Scholar 

  18. Liu GR, Gu YT (2001) A point interpolation method for two-dimensional solids. Int J Numer Meth Eng 50:937–951

    Article  MATH  Google Scholar 

  19. Zhao X, Lee YY (2009) Mechanical and thermal buckling analysis of functionally graded plates. Compos Struct 90:161–171

    Article  Google Scholar 

  20. Cong PH, Chien TM, Khoa ND, Duc ND (2018) Nonlinear thermomechanical buckling and post-buckling response of porous FGM plates using Reddy’s HSDT. Aerosp Sci Technol 77:419–428

    Article  Google Scholar 

  21. Chinosi C, Lovadina C (1995) Numerical analysis of some mixed finite element methods for Reissner-Mindlin plates. Comput Mech 16(1):36–44

    Article  MATH  Google Scholar 

  22. Jabbari M, Hashemitaheri M, Mojahedin A, Eslami MR (2014) Thermal buckling analysis of functionally graded thin circular plate made of saturated porous materials. J Therm Stress 37(2):202–220

    Article  Google Scholar 

Download references

Acknowledgements

This research is funded by Vietnam National University Ho Chi Minh City (VNU-HCM) under grant number: B2023-20-03. We acknowledge Ho Chi Minh City University of Technology (HCMUT), VNU-HCM for supporting this study.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Thien Tich Truong .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2024 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

Ngo, B.K., Le, T.D.T., Lo, V.S., Truong, T.T. (2024). Buckling Analysis of Porous Functionally Graded Plates in Thermal Environment by Using a Meshfree Method. In: Reddy, J.N., Wang, C.M., Luong, V.H., Le, A.T. (eds) Proceedings of the Third International Conference on Sustainable Civil Engineering and Architecture. ICSCEA 2023. Lecture Notes in Civil Engineering, vol 442. Springer, Singapore. https://doi.org/10.1007/978-981-99-7434-4_136

Download citation

  • DOI: https://doi.org/10.1007/978-981-99-7434-4_136

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-99-7433-7

  • Online ISBN: 978-981-99-7434-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Navigation