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FROM:
Josef Kiendl (1), Ming-Chen Hsu (2), Michael C.H. Wu (2) and Alesszandro Reali (1,3,4)
(1) Dipartimento di Ingegneria Civile ed Architettura, Universita` degli Studi di Pavia, Via Ferrata 3, 27100 Pavia, Italy
(2) Department of Mechanical Engineering, Iowa State University, 2025 Black Engineering, Ames, IA 50011, USA
(3) Istituto di Matematica Applicata e Tecnologie Informatiche – CNR, Via Ferrata 1, 27100 Pavia, Italy
(4) Technische Universitaet Muenchen – Institute for Advanced Study, Lichtenbergstraße 2a, 85748 Garching, Germany
“Isogeometric Kirchoff-Love shell formulations for general hyperelastic materials”, (Elsevier; Journal and date not given in the pdf file; Most recent citation is dated 2015.), http://dx.doi.org/10.1016/j.cma.2015.03.010
ABSTRACT: 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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