Variational Principles and Methods for Viscoelastic Shallow Shells

  • J. Brilla
Part of the International Centre for Mechanical Sciences book series (CISM, volume 240)


Using the Laplace transform the generalized potential energy of viscoelastic shallow shells has been introduced and generalized and convolutional variational principles for quasistatic and dynamic problems for viscoelastic shallow shells have been formulated.

These variational principles form a good basis for generalized and convolutional variational methods and for a generalization of the finite element method for the solution of viscoelastic shallow shells.

Finally the convolutional variational principle for stability of viscoelastic shallow shells and their buckling and post-buckling behaviour are discussed.


Finite Element Method Variational Method Variational Principle Shallow Shell Infinitesimal Deformation 
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Copyright information

© Springer-Verlag Wien 1980

Authors and Affiliations

  • J. Brilla
    • 1
  1. 1.Comenius UniversityBratislavaSlovakia

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