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Numerical simulation of the hyperelastic material using new strain measure

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Abstract

The three-dimensional model of the hyperelastic body under large strains is researched. A new strain measure, based on the QR-decomposition of the deformation gradient, is discussed. It is shown that this strain measure allows for more explicit analytical connections between different parameters of the stress–strain condition then the traditional approach. An example method of introducing this measure into numerical simulations for an arbitrary three-dimensional model with linear shape functions is presented.

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Authors and Affiliations

  1. Lavrentyev Institute of Hydrodynamics of the Siberian Branch of the RAS, Novosibirsk State University, Novosibirsk, Russia

    Boris Dmitrievich Annin & Konstantin Vladimirovich Bagrov

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  1. Boris Dmitrievich Annin
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  2. Konstantin Vladimirovich Bagrov
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Correspondence to Konstantin Vladimirovich Bagrov.

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The work was supported by the Russian Foundation for Basic Research (Grant No. 19-01-00511 A).

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Annin, B.D., Bagrov, K.V. Numerical simulation of the hyperelastic material using new strain measure. Acta Mech 232, 1809–1813 (2021). https://doi.org/10.1007/s00707-020-02904-3

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  • DOI: https://doi.org/10.1007/s00707-020-02904-3

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