Skip to main content
SpringerLink
Log in

Static Behavior of Functionally Graded Sandwich Beam with Fluid-Infiltrated Porous Core

  • Conference paper
  • First Online:
Modern Mechanics and Applications

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

Abstract

In this report, the static response of sandwich beam with fluid-infiltrated porous core and two face sheets made of functionally graded materials is investigated. Variation in mechanical properties of the sandwich beam is assumed to be continuous along the thickness direction. Various beam theories for one-dimensional modelling of the beam are considered. The relationship between stress and strain obeys Biot’s theory of linear poroelasticity. The governing equations of the beam are derived by applying Hamilton’s principle and solved analytically by Navier’s solution. Comparative and comprehensive studies are conducted to examine both the accuracy and the effects of various parameters, such as power-law index, porosity and pore pressure coefficients, core-to-face thickness ratio, span-to-height ratio on the bending characteristics of the beam.

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 299.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 379.99
Price excludes VAT (USA)
  • Compact, lightweight 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

References

  1. Banhart, J.: Manufacture, characterisation and application of cellular metals and metal foams. Prog. Mater Sci. 46, 559–632 (2001)

    Article  Google Scholar 

  2. Colombo, P.: Ceramic foams: fabrication, properties and applications. Key Eng. Mater. 206, 1913–1918 (2002)

    Google Scholar 

  3. Jin, F.-L., Zhao, M., Park, M., Park, S.-J.: Recent trends of foaming in polymer processing: a review. J. Polym. 11(6), 953 (2019)

    Google Scholar 

  4. Detournay, E., Cheng, A.H.D.: Fundamentals of Poroelasticity. In: Fairhurst, C. (ed.) Pergamon, Oxford (1993)

    Google Scholar 

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

    Article  Google Scholar 

  6. Fang, W., Yu, T., Van Lich, L., Bui, T.Q.: Analysis of thick porous beams by a quasi-3D theory and isogeometric analysis. Compos. Struct. 221, 110890 (2019)

    Article  Google Scholar 

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

    Article  Google Scholar 

  8. Zhao, J., Wang, Q., Deng, X., Choe, K., Zhong, R., Shuai, C.: Free vibrations of functionally graded porous rectangular plate with uniform elastic boundary conditions. Compos. B Eng. 168, 106–120 (2019)

    Article  Google Scholar 

  9. Foroutan, K., Shaterzadeh, A., Ahmadi, H.: Nonlinear static and dynamic hygrothermal buckling analysis of imperfect functionally graded porous cylindrical shells. Appl. Math. Model. 77, 539–553 (2020)

    Article  MathSciNet  Google Scholar 

  10. Li, H., Pang, F., Ren, Y., Miao, X., Ye, K.: Free vibration characteristics of functionally graded porous spherical shell with general boundary conditions by using first-order shear deformation theory. Thin-Walled Struct. 144, 106331 (2019)

    Article  Google Scholar 

  11. Thanh Binh, C., Van Long, N., Minh Tu, T., Quang Minh, P.: Nonlinear vibration of functionally graded porous variable thickness toroidal shell segments surrounded by elastic medium including the thermal effect. Compos. Struct. 255, 112891 (2021)

    Google Scholar 

  12. Galeban, M., Mojahedin, A., Taghavi, Y., Jabbari, M.: Free vibration of functionally graded thin beams made of saturated porous materials. J Steel Compos. Struct. 21(5), 999–1016 (2016)

    Article  Google Scholar 

  13. Rad, E.S., Saidi, A.R., Rezaei, A.S., Askari, M.: Shear deformation theories for elastic buckling of fluid-infiltrated porous plates: an analytical approach. Compos. Struct. 254, 112829 (2020)

    Article  Google Scholar 

  14. Ebrahimi, F., Habibi, S.: Deflection and vibration analysis of higher-order shear deformable compositionally graded porous plate. Steel Compos. Struct. 20(1), 205–225 (2016)

    Article  Google Scholar 

  15. Babaei, M., Hajmohammad, M.H., Asemi, K.: Natural frequency and dynamic analyses of functionally graded saturated porous annular sector plate and cylindrical panel based on 3D elasticity. Aerosp. Sci. Technol. 96, 105524 (2020)

    Article  Google Scholar 

  16. Babaei, M., Asemi, K.: Stress analysis of functionally graded saturated porous rotating thick truncated cone. Mech. Based Des. Struct. Mach. 1–28 (2020)

    Google Scholar 

  17. Rezaei, A., Saidi, A.: An analytical study on the free vibration of moderately thick fluid-infiltrated porous annular sector plates. J. Vib. Control 24(18), 4130–4144 (2018)

    Article  MathSciNet  Google Scholar 

  18. Heshmati, M., Daneshmand, F., Amini, Y., Adamowski, J.: Vibration behavior of poroelastic thick curved panels with graded open-cell and saturated closed-cell porosities. Eur. J. Mech. - A/Solids 77, 103817 (2019)

    Article  MathSciNet  Google Scholar 

  19. Panah, M., Khorshidvand, A.R., Khorsandijou, S.M., Jabbari, M.: Pore pressure and porosity effects on bending and thermal postbuckling behavior of FG saturated porous circular plates. J. Therm. Stresses 42(9), 1083–1109 (2019)

    Article  Google Scholar 

  20. Chen, D., Kitipornchai, S., Yang, J.: Nonlinear free vibration of shear deformable sandwich beam with a functionally graded porous core. Thin-Walled Struct. 107, 39–48 (2016)

    Article  Google Scholar 

  21. Bamdad, M., Mohammadimehr, M., Alambeigi, K.: Analysis of sandwich Timoshenko porous beam with temperature-dependent material properties: magneto-electro-elastic vibration and buckling solution. J. Vib. Control 25(23–24), 2875–2893 (2019)

    Article  MathSciNet  Google Scholar 

  22. Mu, L., Zhao, G.: Fundamental frequency analysis of sandwich beams with functionally graded face and metallic foam core. Shock Vib. 2016, 3287645 (2016)

    Google Scholar 

  23. Jasion, P., Magnucka-Blandzi, E., Szyc, W., Magnucki, K.: Global and local buckling of sandwich circular and beam-rectangular plates with metal foam core. Thin-Walled Struct. 61, 154–161 (2012)

    Article  Google Scholar 

  24. Magnucka-Blandzi, E.: Dynamic stability and static stress state of a sandwich beam with a metal foam core using three modified timoshenko hypotheses. Mech. Adv. Mater. Struct. 18(2), 147–158 (2011)

    Article  Google Scholar 

  25. Qin, Q.H., Wang, T.J.: An analytical solution for the large deflections of a slender sandwich beam with a metallic foam core under transverse loading by a flat punch. Compos. Struct. 88(4), 509–518 (2009)

    Article  Google Scholar 

  26. Zhang, J., Qin, Q., Xiang, C., Wang, T.J.: Dynamic response of slender multilayer sandwich beams with metal foam cores subjected to low-velocity impact. Compos. Struct. 153, 614–623 (2016)

    Article  Google Scholar 

  27. Wang, Y., Zhou, A., Fu, T., Zhang, W.: Transient response of a sandwich beam with functionally graded porous core traversed by a non-uniformly distributed moving mass. Int. J. Mech. Mater. Des. 16(3), 519–540 (2019)

    Article  Google Scholar 

  28. Chinh, T.H., Tu, T.M., Duc, D.M., Hung, T.Q.: Static flexural analysis of sandwich beam with functionally graded face sheets and porous core via point interpolation meshfree method based on polynomial basic function. Arch. Appl. Mech. 91(3), 933–947 (2020)

    Article  Google Scholar 

  29. Chen, D., Yang, J., Kitipornchai, S.: Buckling and bending analyses of a novel functionally graded porous plate using Chebyshev-Ritz method. Arch. Civ. Mech. Eng. 19(1), 157–170 (2018)

    Article  Google Scholar 

  30. Akbari, H., Azadi, M., Fahham, H.: Free vibration analysis of thick sandwich cylindrical panels with saturated FG-porous core. Mech. Based Des. Struct. Mach. 1–19 (2020)

    Google Scholar 

  31. Sayyad, A.S., Ghugal, Y.M.: Modeling and analysis of functionally graded sandwich beams: a review. Mech. Adv. Mater. Struct. 26(21), 1776–1795 (2019)

    Article  Google Scholar 

  32. Vo, T.P., Thai, H.-T., Nguyen, T.-K., Inam, F., Lee, J.: Static behaviour of functionally graded sandwich beams using a quasi-3D theory. Compos. Part B: Eng. 68, 59–74 (2015)

    Article  Google Scholar 

  33. Sayyad, A.S., Ghugal, Y.M.: A unified five-degree-of-freedom theory for the bending analysis of softcore and hardcore functionally graded sandwich beams and plates. J. Sandwich Struct. Mater. 23, 473–506 (2019)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. The University of Da Nang - University of Science and Technology, Da Nang, Vietnam

    Tran Quang Hung & Do Minh Duc

  2. National University of Civil Engineering, Hanoi, Vietnam

    Tran Minh Tu

Authors
  1. Tran Quang Hung
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Do Minh Duc
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Tran Minh Tu
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Vietnam Academy of Science and Technology, Hanoi, Vietnam

    Nguyen Tien Khiem

  2. National University of Civil Engineering, Hanoi, Vietnam

    Tran Van Lien

  3. Ho Chi Minh City University of Technology (HUTECH), Ho Chi Minh, Vietnam

    Nguyen Xuan Hung

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

Hung, T.Q., Duc, D.M., Tu, T.M. (2022). Static Behavior of Functionally Graded Sandwich Beam with Fluid-Infiltrated Porous Core. In: Tien Khiem, N., Van Lien, T., Xuan Hung, N. (eds) Modern Mechanics and Applications. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-16-3239-6_53

Download citation

  • DOI: https://doi.org/10.1007/978-981-16-3239-6_53

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-16-3238-9

  • Online ISBN: 978-981-16-3239-6

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation