Isogeometric Kirchhoff–Love shell formulations for general hyperelastic materials

We present formulations for compressible and incompressible hyperelastic thin shells which can use general 3D constitutive models. The necessary plane stress condition is enforced analytically for incompressible materials and iteratively for compressible materials. The thickness stretch is staticall...

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Bibliographic Details
Published inComputer methods in applied mechanics and engineering Vol. 291; no. C; pp. 280 - 303
Main Authors Kiendl, Josef, Hsu, Ming-Chen, Wu, Michael C.H., Reali, Alessandro
Format Journal Article
LanguageEnglish
Published Netherlands Elsevier B.V 01.07.2015
Elsevier
Subjects
Compressibility
Computer simulation
Construction
Discretization
Finite strain
Hyperelastic
Incompressibility
Isogeometric
Kirchhoff–Love
Mathematical analysis
Mathematical models
Thin shell
Thin walled shells
Three dimensional models
Kirchhoff–Love
Isogeometric
Hyperelastic
Finite strain
Incompressibility
Thin shell
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ISSN0045-7825
1879-2138
DOI10.1016/j.cma.2015.03.010

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Summary:We present formulations for compressible and incompressible hyperelastic thin shells which can use general 3D constitutive models. The necessary plane stress condition is enforced analytically for incompressible materials and iteratively for compressible materials. The thickness stretch is statically condensed and the shell kinematics are completely described by the first and second fundamental forms of the midsurface. We use C1-continuous isogeometric discretizations to build the numerical models. Numerical tests, including structural dynamics simulations of a bioprosthetic heart valve, show the good performance and applicability of the presented methods.
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EE0006737
USDOE Office of Energy Efficiency and Renewable Energy (EERE)
ISSN:0045-7825
1879-2138
DOI:10.1016/j.cma.2015.03.010