Skip to main content

A Finite Element for the Analysis of Monoclinic Laminated Plates

  • Chapter
  • 1151 Accesses

Part of the book series: Lecture Notes in Applied and Computational Mechanics ((LNACM,volume 23))

Abstract

This paper presents a 4-node finite element, based on a First-order Shear-Deformation Theory (FSDT), for the analysis of composite monoclinic laminated plates. A mixed-enhanced variational formulation is adopted. It includes as primary variables the transverse shear as well as enhanced incompatible modes, which are introduced to improve in-plane deformations. Several numerical applications are presented in order to show the effectiveness of the proposed element.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   169.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Auricchio F., Taylor R. L. (1994) A shear deformable plate element with an exact thin limit, Comp. Meth. Appl. Mech. Engng. 118, 393–412.

    Article  MATH  MathSciNet  Google Scholar 

  2. Auricchio F., Sacco E. (1999) A mixed-enhanced finite-element for the analysis of laminated composite plates, Int. J. Num. Meth. Engng. 44, 1481–1504.

    Article  MATH  Google Scholar 

  3. Auricchio F., Sacco E. (1999) Partial-mixed formulation and refined models for the analysis of composite laminates within an FSDT, Comp. Struct. 46, 103–113.

    Article  Google Scholar 

  4. Auricchio F., Lovadina C., Sacco E. (2001) Analysis of mixed finite elements for laminated composite plates, Comput. Methods Appl. Mech. Engrg. 190, 4767–4783.

    Article  MATH  MathSciNet  Google Scholar 

  5. Bisegna P., Sacco E. (1997) A rational deduction of plate theories from the three-dimensional linear elasticity, Z. Angew. Math. Mech. 77, 349–366.

    MATH  MathSciNet  Google Scholar 

  6. Mindlin R. D. (1951) Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates, J. Appl. Mech. 38, 31–38.

    MATH  Google Scholar 

  7. Noor A. K., Burton W. S., Peters J. M. (1990) Predictor-corrector procedures for stress and free vibration analyses of multilayered composite plates and shells, Int. J. Comp. Meth. Appl. Mech. Eng. 82, 341–363.

    Article  MATH  Google Scholar 

  8. Pian T. H., Sumihara K. (1984) Rational approach for assumed stress finite elements, Int. J. Numer. Meth. Engng. 20, 1685–1695.

    Article  MATH  Google Scholar 

  9. Reddy J. N. (1984) Energy and variational methods in applied mechanics, Wiley, New York.

    Google Scholar 

  10. Reddy J. N. (1987) A generalization of two dimensional theories of laminated plates, Commun. Appl. Numer. Meth. 3, 173–180.

    Article  MATH  Google Scholar 

  11. Reddy J. N. (1990) On refined theories of composite laminates, Meccanica 25, 230–238.

    Article  MATH  MathSciNet  Google Scholar 

  12. Reissner E. (1945) The effect of transverse shear deformation on the bending of elastic plates, J. Appl. Mech. 12, 69–77.

    MathSciNet  Google Scholar 

  13. Simo J. C., Rifai M. S. (1990) A class of mixed assumed strain methods and the method of incompatible modes, Int. J. Numer. Meth. Engng. 29, 1595–1638.

    Article  MATH  MathSciNet  Google Scholar 

  14. Taylor R. L. (1997) Manual of user of Finite Element Analysis Program, Univ. of California at Berkeley.

    Google Scholar 

  15. Whitney J. M., Pagano N. J. (1970) Shear deformation in heterogeneous anisotropic plates, J. Appl. Mech., Trans. ASME 37(92/E), 1031–1036.

    MATH  Google Scholar 

  16. Yang P. C., Norris C. H., Stavsky Y. (1966) Elastic wave propagation in heterogeneous plates, Int. J. Solids Struct. 2, 665–684.

    Article  Google Scholar 

  17. Zienkiewicz O. C., Taylor R. L. (1997) The Finite Element Method, vol. 1, 4th Ed., McGraw-Hill.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Auricchio, F., Sacco, E., Vairo, G. (2005). A Finite Element for the Analysis of Monoclinic Laminated Plates. In: Frémond, M., Maceri, F. (eds) Mechanical Modelling and Computational Issues in Civil Engineering. Lecture Notes in Applied and Computational Mechanics, vol 23. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-32399-6_19

Download citation

  • DOI: https://doi.org/10.1007/3-540-32399-6_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-25567-3

  • Online ISBN: 978-3-540-32399-0

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics