Fundamental Equations

  • Marek Sokolowski
Part of the International Centre for Mechanical Sciences book series (CISM, volume 26)


The derivation of the fundamental equations of the couple-stress theory presented in this section is mainly based on paper [1] by W. T. Koiter with certain modifications. The indicial notation (Cartesian tensors) is used throughout the paner. The summation convention holds for repeated indices (except for the index n denoting the direction normal to the surface). The permutation symbol is denoted єijk hic and assumes the values of +1, −1, 0, depending on whether the permutation of indices is even, odd or some indices are repeated. Vectors, denoted in print by bold-face letters, are underlined in this text.


Fundamental Equation Strain Energy Function Deviatoric Part Indicial Notation Cartesian Tensor 
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Copyright information

© Springer-Verlag Wien 1970

Authors and Affiliations

  • Marek Sokolowski
    • 1
  1. 1.Polish Academy of SciencesPoland

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