Formulations and Applications for Elasto-Plastic Dynamic Shell Analyses

  • Hou-Cheng Huang


So far only static problems have been considered in this book. However, the behaviour of plate and shell structures, which are subjected to time-varying loading such as impact, explosive or seismic loading, is often of crucial importance. In this chapter we consider the transient dynamic analysis of plate and shell structures (including elasto-plastic material behaviour) using the assumed strain 9-node element [1–3].


Circular Plate Consistent Mass Matrix Lump Mass Matrix Transient Dynamic Analysis Isotropic Material Property 
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  1. 1.
    Huang HC, Hinton E (1984) A nine node Lagrangian Mindlin plate element with enhanced shear interpolation. Engng Comput 1: 369–379CrossRefGoogle Scholar
  2. 2.
    Huang HC, Hinton E (1986) A new nine node degenerated shell element with enhanced membrane and shear interpolation. Intl J Numer Meth Engng 22: 73–92MathSciNetMATHCrossRefGoogle Scholar
  3. 3.
    Huang HC, Hinton E (1985) Elasto-plastic dynamic analysis of plate and shell structures using a new nine node element. In: Proceedings of the ASME Symposium Material nonlinearity in vibration problems, pp 41–60. Miami, USA 1985 (AMD, vol 71)Google Scholar
  4. 4.
    Hinton E, Rock TA, Zienkiewicz OC (1976) A note on mass lumping and related processes in finite element method. Intl J Earthquake Engng Struct Dyn 4: 245–249CrossRefGoogle Scholar
  5. 5.
    Surana KS (1978) Lumped mass matrices with non-zero inertia for general shell and axisymmetric shell elements. Intl J Numer Meth Engng 12: 1635–1650MATHCrossRefGoogle Scholar
  6. 6.
    Hughes TJR, Liu WK (1978) Implicit-explicit finite elements in transient analysis: stability theory. J Appl Mech 45: 371–374MATHCrossRefGoogle Scholar
  7. 7.
    Reismann H, Lee YC (1968) Forced motion of rectangular plates. Proceedings of the 4th biennial Southeastern conference on Theoretical and Applied Mechanics. Tulane University, New Orleans, 1968. Pergamon Press, New YorkGoogle Scholar
  8. 8.
    Bauer HF (1968) Nonlinear response of elastic plates to pulse excitations. J Appl Mech 3: 47–52CrossRefGoogle Scholar
  9. 9.
    Hinton E, Owen DRJ, Shantaram D (1975) Dynamic transient nonlinear behaviour of thick and thin plates. In: Whiteman JR (ed) The mathematics of finite elements and applications, vol 2. MAFELAP Uxbridge, pp 423–438Google Scholar
  10. 10.
    Liu SC, Lin TH (1979) Elastic-plastic dynamic analysis of structures using known elastic solutions. Intl J Earthquake Engng Struct Dyn 7: 147–159CrossRefGoogle Scholar
  11. 11.
    Nagarajan S, Popov EP (1974) Elastic-plastic dynamic analysis of axisymmetric solids. Comp Struct 4: 1117–1134CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1989

Authors and Affiliations

  • Hou-Cheng Huang
    • 1
  1. 1.Department of Civil EngineeringUniversity College of SwanseaSwansea, WalesUK

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