Journal of Elasticity

, Volume 36, Issue 2, pp 99–116

Stress functions for continua with couple stresses

  • Yu. Z. Povstenko

DOI: 10.1007/BF00040961

Cite this article as:
Povstenko, Y.Z. J Elasticity (1994) 36: 99. doi:10.1007/BF00040961


In this paper new representations of stresses and couple stresses in terms of stress functions are obtained for three- and two-dimensional Cosserat continua using the motor analysis, and the particular cases of these representations are compared with known results. As an application of the introduced stress functions we consider several examples of determining the stress and couple stress fields due to discrete dislocations and disclinations.

Copyright information

© Kluwer Academic Publishers 1994

Authors and Affiliations

  • Yu. Z. Povstenko
    • 1
  1. 1.Pidstryhach Institute of Applied Problems of Mechanics and MathematicsUkrainian Academy of SciencesLvivUkraine

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