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On the local measures of mean rotation in continuum mechanics

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Abstract

We implement Cauchy's concept of a rotation-angle function on an oriented plane, and characterize situations when a rotation-angle function exists, and hence when measuring mean rotations in the manner of Cauchy or Novozhilov makes sense. We also discuss in passing the role of the skew part of the deformation gradient in measuring the mean deformation.

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Authors and Affiliations

  1. Department of Mechanical Engineering-COPPE, Federal University of Rio de Janeiro, C.P. 68503, 21945, Rio de Janeiro, Brazil

    Luiz C. Martins

  2. Dipartimento di Ingegneria Civile, Università di Roma 2, via O. Raimondo, 00173, Roma, Italy

    P. Podio-Guidugli

Authors
  1. Luiz C. Martins
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  2. P. Podio-Guidugli
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Martins, L.C., Podio-Guidugli, P. On the local measures of mean rotation in continuum mechanics. J Elasticity 27, 267–279 (1992). https://doi.org/10.1007/BF00041690

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  • DOI: https://doi.org/10.1007/BF00041690

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