Journal of Elasticity

, Volume 36, Issue 2, pp 99-116

First online:

Stress functions for continua with couple stresses

  • Yu. Z. PovstenkoAffiliated withPidstryhach Institute of Applied Problems of Mechanics and Mathematics, Ukrainian Academy of Sciences

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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.