Abstract
Explicit formulae for the ‘finite’ strain and rotation measures are given, in the cases when either one of the ‘infinitesimal’ tensors of strain and rotation vanishes. Conversely, when the finite strain or rotation measure vanishes, explicit formulae for the infinitesimal tensors of strain and rotation are also obtained.
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References
P.R. Halmos: Finite Dimensional Vector Spaces. 2nd edn, Van Nostrand 1958.
C. Truesdell and R.A. Toupin: The Classical Field Theories. In:Handbuch der Physik III/1, S. Flügge Ed., Springer-Verlag 1960.
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Martins, L.C., Oliveira, R.F. & Podio-Guidugli, P. On the vanishing of the additive measures of strain and rotation for finite deformations. J Elasticity 17, 189–193 (1987). https://doi.org/10.1007/BF00043024
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DOI: https://doi.org/10.1007/BF00043024