Modeling Failure Initiation in Sea Ice Based on Loss of Ellipticity

  • H. L. Schreyer
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 94)


The opening of leads and ridge formation in sea ice are examples of material failure analogous to failure mechanisms in other geological materials. The prediction of failure initiation should be the role of a proper constitutive equation, in addition to the usual expectation of providing an accurate correlation between stress and strain. Under certain assumptions, the loss of ellipticity is also the state at which material stability is lost and the state at which a discontinuous bifurcation appears. Since these conditions are identical, it is proposed that these states also be identified with the initiation of material failure. In addition to the location of failure, the criterion also provides the orientation of the failure surface as a surface-normal vector, and the mode of failure initiation as an eigenvector of the acoustic tensor. The eigenvector can be interpreted as the direction of the potential strong discontinuity in displacement. The underlying theory is summarized together with references that provide applications to other geological materials.


Constitutive Equation Yield Surface Stress Path Displacement Discontinuity Material Failure 
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Copyright information

© Springer Science+Business Media Dordrecht 2001

Authors and Affiliations

  • H. L. Schreyer
    • 1
  1. 1.Department of Mechanical EngineeringThe University of New MexicoAlbuquerqueUSA

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