Encyclopedia of Continuum Mechanics

Living Edition
| Editors: Holm Altenbach, Andreas Öchsner

Singular Solutions in Plane Strain Plasticity

Living reference work entry
DOI: https://doi.org/10.1007/978-3-662-53605-6_367-1



  1. 1.

    The maximum friction law demands that the friction stress is equal to the shear yield stress in the case of pressure-independent models considered,

  2. 2.

    The maximum friction law demands that the friction surface coincides with a stress characteristic or an envelope of stress characteristics in the case of the double-shearing model,

  3. 3.

    The maximum friction surface is a surface with maximum friction,

  4. 4.

    The strain rate intensity factor is the coefficient of the leading term in a series expansion of the quadratic invariant of the strain rate tensor in the vicinity of maximum friction surfaces.

The definition for the maximum friction law above applies at sliding.


The successful mathematical modelling of the material behavior in the vicinity of...

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This work was made possible by grant 17-01-00624 from RFBR (Russia).


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Authors and Affiliations

  1. 1.Ishlinsky Institute for Problems in MechanicsRussian Academy of SciencesMoscowRussia

Section editors and affiliations

  • Sergey Alexandrov
    • 1
  1. 1.Ishlinsky Institute for Problems in MechanicsRussian Academy of SciencesMoscowRussia