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On universal deformations in analysis of Signorini’s nonlinear theory of hyperelastic media

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It is shown that uniform compression/tension and simple shear as universal deformations are quite useful in studying Signorini’s nonlinear theory of hyperelastic materials. They make it possible to formulate restrictions for the elastic constants of the theory and to explain the Poynting effect

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Translated from Prikladnaya Mekhanika, Vol. 43, No. 12, pp. 54–60, December 2007.

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Rushchitsky, J.J. On universal deformations in analysis of Signorini’s nonlinear theory of hyperelastic media. Int Appl Mech 43, 1347–1352 (2007). https://doi.org/10.1007/s10778-008-0012-7

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