Tensile Instabilities at Large Strains

  • V. Tvergaard
Part of the International Centre for Mechanical Sciences book series (CISM, volume 327)


After a short introduction to basic formulations for elastic-plastic and elastic-viscoplastic material behaviour at finite strains the conditions for uniqueness and bifurcation of the incremental solution are discussed. The strong dependence of bifurcation predictions on the constitutive model is emphasized, and specific analyses of tensile instabilities are mentioned. The effect of viscoplastic material behaviour on stability analyses is emphasized. Furthermore, studies of localization in shear bands are discussed, and some recent results for cavitation instabilities in highly constrained plastic flow are presented.


Shear Band Yield Surface Void Nucleation Finite Strain Bifurcation Mode 
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Copyright information

© Springer-Verlag Wien 1993

Authors and Affiliations

  • V. Tvergaard
    • 1
  1. 1.The Technical University of DenmarkLyngbyDenmark

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