Skip to main content

Elasto-Plastic Analysis of Fibrous Composite Shells Using ‘Semiloof’ Finite Elements

  • Chapter
Composite Structures 2

Abstract

A finite element formulation is presented for conducting nonlinear analysis of fibrous composite shells structures. The Semiloof elements, which have proved to be one of the most efficient families of finite elements available for linear elastic thin shell analysis, have been extended for elasto-plastic fibrous composite shell analysis. Inelastic material behaviour is modelled with flow theory of plasticity adopting the von Mises yield criterion.

The geometry, constitutive equations and stiffness relations of the shell element represent the displacement method of analysis. Solution of the nonlinear equilibrium equations is obtained with a Newton-Raphson type iteration technique.

This paper also considers static fracture of notched composite shells based on damage zones.

Some examples are furnished to demonstrate the versatility and accuracy of presented efficient finite elements in modelling structure of aircraft applications.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Pryor, C. W. and Baker, R. M., A finite element analysis including transverse shear effects for application to laminated plates, AIAAJ, 9(1971), 912–917.

    Article  Google Scholar 

  2. Panda, S. C. and Natarajan, R., Finite element analysis of laminated composite plates, Int. J. Numer. Meth. Engng, 14(1967), 69–79.

    Article  Google Scholar 

  3. Maxsuvovu, S., Finite element analysis of laminated composite plates and shells, Proc. 15th Yugoslav Congr. Mech., Kupari, June (1981).

    Google Scholar 

  4. Noor, A. K. and Hartley, S. J., Nonlinear shell analysis via mixed isoparametric elements, Comput. Structures, 7(1977), 615–626.

    Article  Google Scholar 

  5. Barer-EL-Din, Y. A., Dvorak, G. J. and Utku, S., Comput. Structures, 13(1981), 321–330.

    Article  Google Scholar 

  6. Hill, R., The Mathematical Theory of Plasticity, Clarendon Press, Oxford (1950).

    Google Scholar 

  7. Iron, B. M., The Semiloof shell element, in Finite Elements for Thin Shells and Curved Members(Edited by Gallagher, R. H. and Ashwel, D. G.), Ch. 11, Wiley, New York (1976).

    Google Scholar 

  8. Martins, R. A. F., Structural instability and natural vibration analysis of thin arbitrary shells by use of the Semiloof element, Int. J. Numer. Meth. Engng, 11(1977), 481–498.

    Article  Google Scholar 

  9. Whang, B., Elastoplastic orthotropic plates and shells, Proc. of the Symp. on application of finite element methods in civil engineering, Vanderbilt University (1969).

    Google Scholar 

  10. Ahmad, S., Irons, B. M. and Zienkiewicz, O. C., Analysis of thick and thin shell structures by curved elements, Int. J. Numer. Meth. Engng, 2(1970), 419–451.

    Article  Google Scholar 

  11. Martins, R. A. F. and Owen, D. R. J., Elastoplastic and geometrically nonlinear thin shell analysis; the Semiloof element, Comput. Structures, 13(1981), 505–513.

    Article  Google Scholar 

  12. Zienkiewicz, O. C., The Finite Element Method in Engineering Science, McGraw-Hill, London (1977).

    Google Scholar 

  13. Barsoum, R. S., On the use of isoparametric finite elements in linear fracture mechanics, Int. J. Numer. Meth. Engng, 10(1976), 25–37.

    Article  Google Scholar 

  14. Barsoum, R. S., Loomis, R. W. and Stewart, B. D. S., Analysis of through cracks in cylindrical shells by quarter-point elements, Int. J. Fracture, 15(1979), 259–280.

    Google Scholar 

  15. Maksimovié, S., Finite elements in elasto-plastic fracture mechanics, The 4th Seminar Numer. Meth. Tech., Stublicke Toplice (1982).

    Google Scholar 

  16. Gorji, M. M., Plastic constitutive relations for unidirectionally reinforced composites: Application to large deflection of plates, Int. J. Solids Structures, 16(1980), 149–160.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1983 Applied Science Publishers Ltd

About this chapter

Cite this chapter

Maksimović, S. (1983). Elasto-Plastic Analysis of Fibrous Composite Shells Using ‘Semiloof’ Finite Elements. In: Marshall, I.H. (eds) Composite Structures 2. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6640-6_13

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-6640-6_13

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-6642-0

  • Online ISBN: 978-94-009-6640-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics