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A mixed higher order FEM for fully coupled compressible transversely isotropic finite hyperelasticity - MaRDI portal

A mixed higher order FEM for fully coupled compressible transversely isotropic finite hyperelasticity (Q1663840)

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scientific article; zbMATH DE number 6924590
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A mixed higher order FEM for fully coupled compressible transversely isotropic finite hyperelasticity
scientific article; zbMATH DE number 6924590

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    A mixed higher order FEM for fully coupled compressible transversely isotropic finite hyperelasticity (English)
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    24 August 2018
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    The paper presents a higher order mixed finite element method for compressible transversely isotropic finite hyperelasticity. The three-field formulation is proposed to describe a fully coupled stress response which evolves from an almost isotropic one into a hyper-anisotropic simply nearly inextensible response with increasing fibre tension. A residual based error estimation and an \(hp\)-adaptive finite element method are used for implementation. Coupled and uncoupled stress responses are compared.
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    anisotropic
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    compressible
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    hyperelasticity
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    inextensible
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    finite element
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    \(hp\)-adaptivity
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