Skip to main content
SpringerLink
Log in
Book cover

Nonlinear Analysis of Shells by Finite Elements pp 131–194Cite as

Composite and Sandwich Shells

  • Chapter

Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 328))

Abstract

Finite shell elements for geometrically and materially nonlinear stress and stability analyses of layered fibre reinforced composite shells as well as sandwich shells with orthotropic core material are presented. The element formulations are based on the degeneration principle including large displacements with an efficient analytical thickness integration. Some micromechanical models are discussed which allow the estimation of over-all material laws used in the shell analyses. Examining suitable failure criteria and taking into account post-cracking, post-wrinkling and post-buckling stiffnesses allow for the investigation of progressive damage. Furthermore, anisotropic plasticity effects are taken into account for consideration of metal matrix composite (MMC) shells. Some computed examples and comparisons with experimental results illustrate that an extended range of composite specific-problems can be covered by these laminated and sandwich elements.

This is a preview of subscription content, 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   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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Dorninger, K.: Entwicklung von nichtlinearen FE-Algorithmen zur Berechnung von Schalenkonstruktionen aus Faserverbundstoffen, Doctoral Thesis, Vienna Technical University, Austria; Fortschritt-Berichte, VDI Reihe 18, Nr. 65, VDI Verlag, Düsseldorf, FRG, 1989.

    Google Scholar 

  2. Dorninger, K.: A Nonlinear Layered Shell Finite Element With Improved Transverse Shear Behavior, Composites Engineering 1 (1991), 211–224.

    Article  Google Scholar 

  3. Svobodnik, A.J.: Numerical Treatment of Elastic-Platic Macromechanical Behavior of Longfiber-Reinforced Metal Matrix Composites, Doctoral Thesis, Vienna Technical University, Austria; Fortschritt-Berichte, VDI Reihe 18, Nr. 90, VDI Verlag, Düsseldorf, FRG, 1990.

    Google Scholar 

  4. Starlinger, A.: Development of Efficient Finite Shell Elements for the Analysis of Sandwich Structures Under Large Deformations and Global as Well as Local Instabilities, Doctoral Thesis, Vienna Technical University, Austria, 1990; Fortschritt-Berichte, VDI Reihe 18, Nr. 93, VDI Verlag, Düsseldorf, FRG, 1991.

    Google Scholar 

  5. CARINA - Computer Aided Research In Nonlinear Analysis; a Finite Element Program of the Institute of Lightweight Structures and Aerospace Engineering, Vienna Technical University, Vienna, Austria.

    Google Scholar 

  6. Rammerstorfer, F.G., K.Dorninger and A.Starlinger: Nonlinear Finite Element Analysis of Composite and Sandwich Shell Structures, in: Nonlinear Computational Mechanics - State of the Art (Ed. P. Wriggers and W. Wagner ), Springer-Verlag, Berlin, Heidelberg, 1991.

    Google Scholar 

  7. Ramm, E.: A Plate/Shell Element for Large Deflections and Rotations, in: Formulations and Computational Algorithms in Finite Element Analysis (Ed. K.J. Bathe, J.T. Owen, W. Wunderlich ), Proc. U.S.-German Symp., MIT, Cambridge, 1977.

    Google Scholar 

  8. Andelfinger U. and E.Ramm: An Assessment of Hybrid-Mixed Four-Node Shell Elements, in this book.

    Google Scholar 

  9. Dvorkin, E.N.: On Nonlinear Analysis of Shells Using Finite Elements Based on Mixed Interpolation of Tensorial Components, in this book.

    Google Scholar 

  10. Dorninger, K. and F.C. Rammerstorfer: A Layered Composite Shell Element for Elastic and Thermoelastic Stress and Stability Analysis at Large Deformations, Int. J. Num. Meths. Eng. 30 (1990), 833–858.

    Article  MATH  Google Scholar 

  11. Anderson, R.S.: The Mechanical Properties of Fibre Reinforced Composite Plates, Doctoral Thesis, University of Aston, UK, 1977.

    Google Scholar 

  12. Niederstadt G., J.Block, B.Geier, K.Rohwer and R.Weiß: Leichtbau mit kohlenstoffaserverstärkten Kunststoffen, Expert Verlag, Sindelfingen, 1985.

    Google Scholar 

  13. Huang, C.-M. and D.C. Lagoudas: A Fortran Program for Effective Properties of Composite Materials Based on the Mori-Tanaka Scheme, Department of Mechanical Engineering and Mechanics and Department of Civil Engineering, Rensselaer Polytechnic Institute, Troy, NY, 1990.

    Google Scholar 

  14. Noor, A.K. and J.M. Peters: A Posteriori Estimates for Shear Correction Factors in Multilayered Composite Cylinders, J. Eng. Mechs. 115 (1989), 1225–1244.

    Article  Google Scholar 

  15. Stanley, G.M.: Continuum-Based Shell Elements, Doctoral Thesis, Stanford University, Stanford, CA, 1985.

    Google Scholar 

  16. Ramm, E. and A. Matzenmiller: Large Deformation Shell Analysis Based on the Degeneration Concept, in: State-of-the-Art Texts on FEM for Plate and Shell Structures (Eds. T.J.R. Hughes and E. Hinton ), Pineridge Press, Swansea, UK, 1986.

    Google Scholar 

  17. Laschet, G., J.P. Jeusette and P. Beckers: Homogenization and Pre-Integration Techniques for Multilayer Composites and Sandwich Finite Element Models, Int. J. Num. Meths. Eng. 27 (1989), 257–269.

    Article  MATH  Google Scholar 

  18. Chawla, K.K.: Composite Materials, Springer Verlag, New York, NY, 1987.

    Book  Google Scholar 

  19. Rammerstorfer, F.G.: Jump Phenomena Associated with the Stability of Geometrically Nonlinear Structures, in: Recent Advances in Non-Linear Computational Mechanics (Eds. E. Hinton, D.R.J. Owen and C. Taylor ), Pineridge Press, Swansea, UK, 1982.

    Google Scholar 

  20. Ziegler, F. and F.G. Rammerstorfer: Thermoelastic Stability, in: Thermal Stresses III (Ed. R.B. Hetnarski ), North-Holland, Amsterdam, 1989.

    Google Scholar 

  21. Ramm, E.: Geometrisch nichtlineare Elastostatik und finite Elemente, Habilitationsschrift, University of Stuttgart, FRG, 1975.

    Google Scholar 

  22. Wagner W.: Nonlinear Stability Analysis of Shells with the Finite Element Method, in this book.

    Google Scholar 

  23. Lehar, H.: Beitrag zur numerischen Behandlung ebener, anisotroper Schichtverbunde mittels Finite Elemente Methoden, Doctoral Thesis, University of Innsbruck, Austria, 1984.

    Google Scholar 

  24. Nemeth, M.P.: Importance of Anisotropy on Buckling of Compression-Loaded Symmetric Composite Plates, AIAA Journal 24 (1986), 1831–1835.

    Article  Google Scholar 

  25. Tauchert, T.R.: Thermal Stresses in Plates — Statical Problems, in: Thermal Stresses I (Ed. R.B. Hetnarski ), North-Holland, Amsterdam, 1986.

    Google Scholar 

  26. Hui, D.: Effects of Shear Loads on Vibration and Buckling of Antisymmetric Cross-Ply Cylindrical Panels, Int. J. Non-Linear Mechs. 23 (1988), 177–187.

    Article  MATH  Google Scholar 

  27. Jing, H.-S. and M.-L. Liao: Partial Hybrid Stress Element for the Analysis of Thick Laminated Composite Plates, Int. J. Num. Meths. Eng. 28(1989), 2813–2827.

    Article  MATH  Google Scholar 

  28. Li, Z.H. and D.R.J. Owen: Elastic-Plastic Analysis of Laminated Anisotropic Shells by a Refined Finite Element Laminated Model, Computers & Structures 32 (1989), 1005–1024.

    Article  MATH  Google Scholar 

  29. Reddy, J.N.: On Refined Computational Models of Composite Laminates, Int. J. Num. Meths. Eng. 27 (1989), 361–382.

    Article  MATH  Google Scholar 

  30. Pagano, N.J.: Exact Solutions for the Rectangular Bidirection Composites and Sandwich Plates, J. Appl. Mech. 51 (1970), 20–34.

    Google Scholar 

  31. Starlinger, A. and F.G. Rammerstorfer: Berücksichtigung von lokalem kurzwelligem Deckschichtbeulen in speziellen finiten Sandwich-Schlenelementen, ZAMM 71 (1991), T619–623.

    Google Scholar 

  32. Stamm K. and H. Witte: Sandwichkonstruktionen - Berechnung, Fertigung, Ausführung, Springer-Verlag, Wien, 1974.

    Google Scholar 

  33. Wiedemann J.: Leichtbau: Band 1 - Elemente, Springer-Verlag, Berlin, 1986.

    Google Scholar 

  34. Kühhorn, A.: Geometrisch nichtlineare Theorie für Sandwichschalen - Knitterphänomen, VDI-Verlag, Düsseldorf, FRG, 1991.

    Google Scholar 

  35. Pehn,W.: Entwicklung eines Versuchsaufbaus und experimentelle Untersuchungen zum lokalen Beulverhalten von Sandwichplatten, Heft ILFB-3/91 der Berichte aus dem Institut für Leichtbau und Flugzeugbau der TU Wien, Vienna Technical University, Vienna, 1991.

    Google Scholar 

  36. Dvorak, G.J. and Y.A. Bahei-El-Din: Plasticity Analysis of Fibrous Composites, J.Appl.Mech. 49 (1982), 327–335.

    Article  MATH  Google Scholar 

  37. Svobodnik, A.J., H.J.Böhm and F.G.Rammerstorfer: A 3/D Finite Element Approach for Metal Matrix Composites Based on Micromechanical Models, Int. J. Plasticity 7 (1991), 781–802.

    Article  MATH  Google Scholar 

  38. Starlinger A. and F.G.Rammerstorfer: A Finite Element Formulation for Sand-w çh Shells Accounting for Local Failure Phenomena, in: Proc. Second Int. Conf. on Sandwich Construction, March 9–12, 1992, Univ. of Florida, EMAS, Warley, UK, Vol. 1.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Vienna Technical University, Vienna, Austria

    F. G. Rammerstorfer

  2. Saturn Corp., Troy, MI, USA

    K. Dorninger

  3. NASA Lewis Research Center, Cleveland, OH, USA

    A. Starlinger

Authors
  1. F. G. Rammerstorfer
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. K. Dorninger
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. Starlinger
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Vienna University of Technology, Austria

    F. G. Rammerstorfer

Rights and permissions

Reprints and permissions

Copyright information

© 1992 Springer-Verlag Wien

About this chapter

Cite this chapter

Rammerstorfer, F.G., Dorninger, K., Starlinger, A. (1992). Composite and Sandwich Shells. In: Rammerstorfer, F.G. (eds) Nonlinear Analysis of Shells by Finite Elements. International Centre for Mechanical Sciences, vol 328. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2604-2_6

Download citation

  • DOI: https://doi.org/10.1007/978-3-7091-2604-2_6

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-82416-0

  • Online ISBN: 978-3-7091-2604-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation