Skip to main content

Transient Analysis of Laminated Composite Shells Using an Edge-Based Smoothed Finite Element Method

  • Conference paper
  • First Online:
Proceedings of the International Conference on Advances in Computational Mechanics 2017 (ACOME 2017)

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

Included in the following conference series:

Abstract

An edge-based smoothed finite element method (ES-FEM) was recently proposed to significantly improve the accuracy and convergence rate of traditional finite element method for static and force vibration analyses of plates and shells. In this paper, the ES-FEM is further extended and incorporated with mixed interpolation of tensorial components for triangular element (MITC3) [1], called ES-MITC3, for transient analysis of laminated composite shells based on the first-order shear deformation theory (FSDT). Numerical results for static analysis of isotropic and transient response of laminated composite shell with various different loadings and boundary conditions are provided. The accuracy and reliability of proposed method are verified by comparing its numerical solutions with those of other available numerical results.

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 259.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
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. Lee P-S, Bathe K-J (2004) Development of MITC isotropic triangular shell finite elements. Comput Struct 82:945–962

    Article  Google Scholar 

  2. Khdeir A, Reddy J, Frederick D (1990) On the transient response of cross-ply laminated circular cylindrical shells. Int J Impact Eng 9:475–484

    Article  Google Scholar 

  3. Chun L, Lam K (1995) Dynamic analysis of clamped laminated curved panels. Compos Struct 30:389–398

    Article  Google Scholar 

  4. Türkmen H (1999) Structural response of cylindrically curved laminated composite shells subjected to blast loading. ARI Int J Phys Eng Sci 51:175–180

    Google Scholar 

  5. Şahan MF (2016) Dynamic analysis of linear viscoelastic cross-ply laminated shallow spherical shells. Compos Struct 149:261–270

    Article  Google Scholar 

  6. Liu G-R, Nguyen TT (2010) Smoothed finite element methods, vol 1. CRC Press Boca Raton

    Google Scholar 

  7. Liu G, Dai K, Nguyen T (2007) A smoothed finite element method for mechanics problems. Comput Mech 39:859–877

    Article  MATH  Google Scholar 

  8. Liu G, Nguyen-Thoi T, Nguyen-Xuan H, Lam K (2009) A node-based smoothed finite element method (NS-FEM) for upper bound solutions to solid mechanics problems. Comput Struct 87:14–26

    Article  Google Scholar 

  9. Liu GR, Nguyen-Thoi T, Lam KY (2009) An edge-based smoothed finite element method (ES-FEM) for static, free and forced vibration analyses of solids. J Sound Vib 320:1100–1130

    Google Scholar 

  10. Nguyen-Thoi T, Liu GR, Lam KY, Zhang GY (2009) A face-based smoothed finite element method (FS-FEM) for 3D linear and geometrically non-linear solid mechanics problems using 4-node tetrahedral elements. Int J Numer Methods Eng 78:324–353

    Article  MathSciNet  MATH  Google Scholar 

  11. Nguyen-Xuan H (2017) A polygonal finite element method for plate analysis. Comput Struct 188:45–62

    Article  Google Scholar 

  12. Nguyen TN, Thai CH, Nguyen-Xuan H (2016) On the general framework of high order shear deformation theories for laminated composite plate structures: a novel unified approach. Int J Mech Sci 110:242–255

    Article  Google Scholar 

  13. Nguyen HX, Nguyen TN, Abdel-Wahab M, Bordas S, Nguyen-Xuan H, Vo TP (2017) A refined quasi-3D isogeometric analysis for functionally graded microplates based on the modified couple stress theory. Comput Methods Appl Mech Eng 313:904–940

    Article  MathSciNet  Google Scholar 

  14. Nguyen N-T, Hui D, Lee J, Nguyen-Xuan H (2015) An efficient computational approach for size-dependent analysis of functionally graded nanoplates. Comput Meth Appl Mech Eng 297:191–218

    Article  MathSciNet  Google Scholar 

  15. Thai CH, Kulasegaram S, Tran LV, Nguyen-Xuan H (2014) Generalized shear deformation theory for functionally graded isotropic and sandwich plates based on isogeometric approach. Comput Struct 141:94–112

    Article  Google Scholar 

  16. Chau-Dinh T, Nguyen-Duy Q, Nguyen-Xuan H (2017) Improvement on MITC3 plate finite element using edge-based strain smoothing enhancement for plate analysis. Acta Mech 1–23

    Google Scholar 

  17. Reddy JN (2004) Mechanics of laminated composite plates and shells: theory and analysis. CRC Press

    Google Scholar 

  18. Cui X, Liu G-R, Li G-Y, Zhang G, Zheng G (2010) Analysis of plates and shells using an edge-based smoothed finite element method. Comput Mech 45:141–156

    Article  MathSciNet  MATH  Google Scholar 

  19. Newmark NM (1959) A method of computation for structural dynamics. J Eng Mech Div 85:67–94

    Google Scholar 

  20. Zienkiewicz O, Taylor R, Too J (1971) Reduced integration technique in general analysis of plates and shells. Int J Numer Methods Eng 3:275–290

    Article  MATH  Google Scholar 

  21. Tessler A, Hughes TJ (1985) A three-node Mindlin plate element with improved transverse shear. Comput Methods Appl Mech Eng 50:71–101

    Article  MATH  Google Scholar 

  22. Bathe KJ, Dvorkin EN (1985) A four-node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation. Int J Numer Methods Eng 21:367–383

    Article  MATH  Google Scholar 

  23. Zienkiewicz OC, Xu Z, Zeng LF, Samuelsson A, Wiberg NE (1993) Linked interpolation for Reissner-Mindlin plate elements: Part I—A simple quadrilateral. Int J Numer Meth Eng 36:3043–3056

    Article  MATH  Google Scholar 

  24. Bletzinger K-U, Bischoff M, Ramm E (2000) A unified approach for shear-locking-free triangular and rectangular shell finite elements. Comput Struct 75:321–334

    Article  Google Scholar 

  25. Nguyen-Xuan H, Rabczuk T, Bordas S, Debongnie J-F (2008) A smoothed finite element method for plate analysis. Comput Methods Appl Mech Eng 197:1184–1203

    Article  MATH  Google Scholar 

  26. Nguyen-Thanh N, Rabczuk T, Nguyen-Xuan H, Bordas SP (2008) A smoothed finite element method for shell analysis. Comput Methods Appl Mech Eng 198:165–177

    Article  MATH  Google Scholar 

  27. Nguyen-Thoi T, Phung-Van P, Thai-Hoang C, Nguyen-Xuan H (2013) A cell-based smoothed discrete shear gap method (CS-DSG3) using triangular elements for static and free vibration analyses of shell structures. Int J Mech Sci 74:32–45

    Article  Google Scholar 

  28. Fluge W (1960) Stress in shells. Springer

    Google Scholar 

  29. Khdeir A, Reddy J (1989) Exact solutions for the transient response of symmetric cross-ply laminates using a higher-order plate theory. Compos Sci Technol 34:205–224

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to H. Pham-Quoc .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Pham-Tien, D., Pham-Quoc, H., Tran-The, V., Vu-Khac, T., Nguyen-Van, N. (2018). Transient Analysis of Laminated Composite Shells Using an Edge-Based Smoothed Finite Element Method. In: Nguyen-Xuan, H., Phung-Van, P., Rabczuk, T. (eds) Proceedings of the International Conference on Advances in Computational Mechanics 2017. ACOME 2017. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-10-7149-2_75

Download citation

  • DOI: https://doi.org/10.1007/978-981-10-7149-2_75

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-7148-5

  • Online ISBN: 978-981-10-7149-2

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics