Skip to main content

Non-linear Post Buckling Finite Element Analysis of Plates and Shells

  • Chapter
Elasto-Plastic and Damage Analysis of Plates and Shells
  • 1564 Accesses

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 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Allman, D.J., (1982). Improved finite element method for the large displacement bending and post buckling analysis of thin plates. Int. J. Solids Struct., 18, 737–762.

    Article  MATH  Google Scholar 

  • Argyris, J., (1982). An excursion into large rotations. Comput. Meth. Appl. Mech. Eng., 32, 85–155.

    Article  MATH  MathSciNet  Google Scholar 

  • Bathe, K.J. and Dvorkin, Z.N., (1986). A formulation of general shell elements – The use of mixed interpolation of tensional components. IJNME, 22, 697–722.

    Article  MATH  Google Scholar 

  • Bathe, K.J. and Ho, L.W., (1981). A simple and effective element for analysis of general shell structures. J. Comp. Struct., 13, 673–681.

    Article  MATH  Google Scholar 

  • Crisfield, M.A., (1981). A fast incremental interactive solution procedure that handles snap-through. Comp. Struct., 13, 52–62.

    Article  Google Scholar 

  • Friedrichs, K.O. and Stoker, J.J., (1942). Buckling of the circular plate beyond the critical thrust. J. Appl. Mech., ASME, 9, A7–A14.

    MathSciNet  Google Scholar 

  • Gallagher, R.H. and Thomas, G.R., (1973). The finite element in plate and shell instability analysis. Proc. Fourth Australian Conf. Mech. Struct. Materials, Brisbane, Australia, pp. 77–86.

    Google Scholar 

  • Horrigmore, G. and Bergan, P.G. (1978). Nonlinear analysis of free form shells by flat elements. Comp. Meth. Appl. Mech. Eng. 16, 11–35.

    Article  Google Scholar 

  • Kim, K., and Voyiadjis, G.Z., (1999). Buckling strength prediction of CFRP cylindrical panels using finite element method. J. Compos. A: Appl. Sci. Manuf., 30, 1093–1104.

    Article  Google Scholar 

  • Kondoh, K. and Atluri, S. N., (1986). A simplified finite element method for large deformation, post-buckling analysis of large frames, using explicitly derived tangent stiffness matrices. IJNME, 23, 69–90.

    Article  MATH  MathSciNet  Google Scholar 

  • Murray, D. W. and Willson, E. L., (1969). Finite-element post-buckling analysis of thin elastic plates. AIAA J., 7, 1915–1920.

    Article  MATH  Google Scholar 

  • Noor, A. K., Belytschko, T. and Simo, J. C., (1989). Analytical and Computational Models of Shells, ASME, New York, 640.

    Google Scholar 

  • Riks, E., (1972). The application of Newton’s method to the problem of elastic stability. J. Appl. Mech., ASME, 39, 1060–1066.

    MATH  Google Scholar 

  • Sabir, A. B. and Lock, A. C., (1973). The application of finite elements to the large deflection geometrically non-linear behavior of cylindrical shells, In C. A. Brebbia and H. Tottenham (eds.), Variational Methods in Engineering, Southampton University Press, Southampton, Vol. 7, 66–75

    Google Scholar 

  • Shi, G. and Voyiadjis, G.Z. (1990). A simple C° quadrilateral thick/thin shell element based on the refined shell theory and the assumed strain fields. Int. J. Solids Struct., 27, 3, 283–298.

    Article  Google Scholar 

  • Shi, G. and Voyiadjis, G.Z. (1991a). Geometrically nonlinear analysis of plates by assumed strain element with explicit tangent stiffness. Comp. Struct., 41, 757–763.

    Article  MATH  Google Scholar 

  • Shi, G. and Voyiadjis, G.Z. (1991b). Simple and efficient shear flexible two node arch/beam and four node cylindrical shell/plate finite element. Int. J. Num. Meth. Eng., 31, 759–776.

    Article  MATH  Google Scholar 

  • Shi, G. and Voyiadjis, G.Z., (1991c). Efficient and accurate four-node quadrilateral C° plate bending elements based on assumed strain fields. IJNME, 32, 1041–1055.

    Article  Google Scholar 

  • Tang, L., Chen, W. and Liu, Y. (1980). Quasi-conforming elements for finite element analysis. J. DIT, 19, 2.

    Google Scholar 

  • Tang, L., Chen, W. and Liu, Y. (1983). String net function applications and quasi conforming technique. In Hybrid and Mixed Finite Element Methods, Wiley, NY.

    Google Scholar 

  • von Karman, T. and Tsien, H.-S., (1939). The buckling of spherical shells by external pressure. J. Aero. Scoi., 7, 43–50.

    MATH  Google Scholar 

  • Voyiadjis, G.Z. and Shi, G. (1992). Nonlinear postbuckling analysis of plates and shells by four-noded strain element. AIAA J., 30, 4, 1110–1116.

    Article  MATH  Google Scholar 

  • Wempner, G.A., (1971). Discrete approximation related to nonlinear theories of solids. Int. J. Solids Struct., 7, 1581–1599.

    Article  MATH  Google Scholar 

  • Wood, R.D. and Zienkiewicz, O.C., (1977), Geometrically nonlinear finite element analysis of beams, frames, arches, and axisymmetric shells. Comp. Struct., 7, 725–735.

    Article  MATH  MathSciNet  Google Scholar 

  • Yang, T. Y. and Saigal, S., (1985). A curved quadrilateral element for static analysis of shells with geometric and material nonlinearities. IJNME, 21, 617–635.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Voyiadjis, G.Z., Woelke, P. (2008). Non-linear Post Buckling Finite Element Analysis of Plates and Shells. In: Elasto-Plastic and Damage Analysis of Plates and Shells. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79351-9_7

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-79351-9_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-79350-2

  • Online ISBN: 978-3-540-79351-9

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics