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Coaxiality of stress and strain in anisotropic no-tension materials

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Abstract

For an anisotropic no-tension material there exist at least two rotations such that stress and strain become coaxial. The same result holds for any hyperelastic material whose response is expressed in terms of the small strain tensor and whose stress function is a continuous positively homogeneous degree 1 function.

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Correspondence to C. Padovani.

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The research of M. Šilhavý was supported by RVO: 67985840. The financial support of the Region of Tuscany (project “Tools for modelling and assessing the structural behaviour of ancient constructions: the NOSA-ITACA code”, PAR FAS 2007–2013) is gratefully acknowledged.

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Padovani, C., Šilhavý, M. Coaxiality of stress and strain in anisotropic no-tension materials. Meccanica 48, 487–489 (2013). https://doi.org/10.1007/s11012-012-9690-7

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  • DOI: https://doi.org/10.1007/s11012-012-9690-7

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