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What-You-Prescribe-Is-What-You-Get orthotropic hyperelasticity

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Abstract

We present a model for incompressible finite strain orthotropic hyperelasticity using logarithmic strains. The model does not have a prescribed shape. Instead, the energy function shape and the material data of the model are obtained solving the equilibrium equations of the different experiments. As a result the model almost exactly replicates the given experimental data for all six tests needed to completely define our nonlinear orthotropic material. We derive the constitutive tensor and demonstrate the efficiency of the finite element implementation for complex loading situations.

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Acknowledgments

Partial financial support for this research is given by the Dirección General de Investigación of the Ministerio de Economía y Competitividad of Spain under grant DPI2011-26635 of the Plan Nacional de Investigación.

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Authors and Affiliations

  1. Escuela Técnica Superior de Ingenieros Aeronáuticos, Universidad Politécnica de Madrid, Pza.Cardenal Cisneros, 28040 , Madrid, Spain

    Marcos Latorre & Francisco Javier Montáns

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  1. Marcos Latorre
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  2. Francisco Javier Montáns
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Correspondence to Marcos Latorre.

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Latorre, M., Montáns, F.J. What-You-Prescribe-Is-What-You-Get orthotropic hyperelasticity. Comput Mech 53, 1279–1298 (2014). https://doi.org/10.1007/s00466-013-0971-3

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  • DOI: https://doi.org/10.1007/s00466-013-0971-3

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