Skip to main content

Finite Element Based on Layerwise Approach for Static and Dynamic Analysis of Multi-layered Sandwich Plates

  • Conference paper
  • First Online:
Applied Mechanics, Behavior of Materials, and Engineering Systems

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

  • 1514 Accesses

Abstract

The present work deals with the development of a new layerwise quadrilateral finite element model for static and free vibration analyses of multi-layered sandwich plates. Unlike any other layerwise models, the number of variables is independent of the number of layers. The proposed model assumes higher-order displacement field for the core and first-order displacement field for the face sheets. Compatibility conditions are imposed at face sheets/core interfaces to satisfy the interlaminar displacement continuity. The performance of the proposed formulation is demonstrated by comparing the authors’ results with available analytical solutions and finite element models.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
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

References

  1. Pandey, S., Pradyumna, S.: A new C0 higher-order layerwise finite element formulation for the analysis of laminated and sandwich plates. Compos. Struct. 131, 1–16 (2015)

    Article  Google Scholar 

  2. Oskooei, S., Hansen, J.: Higher-order finite element for sandwich plates. AIAA J. 38(3), 525–533 (2000)

    Article  Google Scholar 

  3. Nabarrete, A., De Almeida, S.F.M., Hansen, J.S.: Sandwich-plate vibration analysis: three-layer quasi-three-dimensional finite element model. AIAA J. 41(8), 1547–1555 (2003)

    Article  Google Scholar 

  4. Ramtekkar, G., Desai, Y., Shah, A.: Application of a three-dimensional mixed finite element model to the flexure of sandwich plate. Comput. Struct. 81(22), 2183–2198 (2003)

    Article  Google Scholar 

  5. Linke, M., Wohlers, W., Reimerdes, H.-G.: Finite element for the static and stability analysis of sandwich plates. J. Sandwich Struct. Mater. 9(2), 123–142 (2007)

    Article  Google Scholar 

  6. Ramesh, S.S., et al.: A higher-order plate element for accurate prediction of interlaminar stresses in laminated composite plates. Compos. Struct. 91(3), 337–357 (2009)

    Article  MathSciNet  Google Scholar 

  7. Elmalich, D., Rabinovitch, O.: A high-order finite element for dynamic analysis of soft-core sandwich plates. J. Sandwich Struct. Mater. 14(5), 525–555 (2012)

    Google Scholar 

  8. Khandelwal, R., Chakrabarti, A., Bhargava, P.: An efficient FE model based on combined theory for the analysis of soft core sandwich plate. Comput. Mech. 51(5), 673–697 (2013)

    Article  MATH  Google Scholar 

  9. Chalak, H.D., et al.: An improved C0 FE model for the analysis of laminated sandwich plate with soft core. Finite Elem. Anal. Des. 56, 20–31 (2012)

    Article  Google Scholar 

  10. Pandit, M.K., Sheikh, A.H., Singh, B.N.: An improved higher order zigzag theory for the static analysis of laminated sandwich plate with soft core. Finite Elem. Anal. Des. 44(9), 602–610 (2008)

    Article  Google Scholar 

  11. Rao, M., et al.: Natural Vibrations of Laminated and Sandwich Plates. J. Eng. Mech. 130(11), 1268–1278 (2004)

    Article  Google Scholar 

  12. Zhen, W., Wanji, C., Xiaohui, R.: An accurate higher-order theory and C0 finite element for free vibration analysis of laminated composite and sandwich plates. Compos. Struct. 92(6), 1299–1307 (2010)

    Article  Google Scholar 

  13. Kant, T., Swaminathan, K.: Analytical solutions for free vibration of laminated composite and sandwich plates based on a higher-order refined theory. Compos. Struct. 53(1), 73–85 (2001)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mohamed-Ouejdi Belarbi .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing Switzerland

About this paper

Cite this paper

Belarbi, MO., Tati, A., Ounis, H., Khechai, A. (2017). Finite Element Based on Layerwise Approach for Static and Dynamic Analysis of Multi-layered Sandwich Plates. In: Boukharouba, T., Pluvinage, G., Azouaoui, K. (eds) Applied Mechanics, Behavior of Materials, and Engineering Systems. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-41468-3_36

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-41468-3_36

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-41467-6

  • Online ISBN: 978-3-319-41468-3

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics