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Seven Invariants Are Needed to Characterize General Orthotropic Elastic Materials: A Comment on [Shariff, J. Elast., 110:237–241 (2013)]

Abstract

This research note presents a simple proof that seven invariants are needed to characterize general orthotropic elastic materials.

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References

  1. Shariff, M.H.B.M.: Nonlinear Orthotropic elasticity: Only six invariants are independent. J. Elast. 110, 237–241 (2013)

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Acknowledgements

This research was partially supported by MB Rubin’s Gerard Swope Chair in Mechanics. The author would also like to acknowledge helpful comments from M. Vianello.

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Correspondence to M. B. Rubin.

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Rubin, M.B. Seven Invariants Are Needed to Characterize General Orthotropic Elastic Materials: A Comment on [Shariff, J. Elast., 110:237–241 (2013)]. J Elast 123, 253–254 (2016). https://doi.org/10.1007/s10659-015-9552-3

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  • DOI: https://doi.org/10.1007/s10659-015-9552-3

Keywords

  • Elasticity
  • Orthotropic
  • Nonlinear
  • Seven Invariants

Mathematics Subject Classification

  • 74B20
  • 15A72