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What-you-prescribe-is-what-you-get orthotropic hyperelasticity. (English) Zbl 1398.74028
Summary: 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.

MSC:
74B20 Nonlinear elasticity
74S05 Finite element methods applied to problems in solid mechanics
74L15 Biomechanical solid mechanics
74S30 Other numerical methods in solid mechanics (MSC2010)
74E10 Anisotropy in solid mechanics
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