On the local measures of mean rotation in continuum mechanics |
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| Authors: | Luiz C. Martins P. Podio-Guidugli |
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| Affiliation: | (1) Department of Mechanical Engineering-COPPE, Federal University of Rio de Janeiro, C.P. 68503, 21945 Rio de Janeiro, Brazil;(2) Dipartimento di Ingegneria Civile, Università di Roma 2, via O. Raimondo, 00173 Roma, Italy |
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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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| Keywords: | 73B15 |
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