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Isogeometric thickness stretchable shell: Efficient formulation for nonlinear dynamic problems
Author(s) -
Hokkanen Jaro,
Pedroso Dorival M.
Publication year - 2019
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.6043
Subject(s) - isogeometric analysis , interpolation (computer graphics) , nonlinear system , knot (papermaking) , mathematics , shell (structure) , spline (mechanical) , finite element method , mathematical analysis , structural engineering , engineering , materials science , physics , classical mechanics , composite material , quantum mechanics , motion (physics)
Summary An isogeometric shell element with through‐thickness stretch is introduced and applied to quasi‐static and dynamic problems. The shell element supports full three‐dimensional constitutive laws, ie, the plane stress assumption is not required. An updated Lagrangian rate formulation is adopted, and biquadratic spline‐based interpolation functions are used for in‐plane interpolation. The concept of fiber mass scaling is proposed to lower the highest eigenfrequencies to improve the performance of the formulation. Clamped and unclamped knot vectors are compared, and the advantages of using unclamped knot vectors are demonstrated. The shell element is validated using several benchmark tests, which indicate good performance of the proposed formulation.