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A general high‐order finite element formulation for shells at large strains and finite rotations
Author(s) -
Başar Y.,
Hanskötter U.,
Schwab Ch.
Publication year - 2003
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.591
Subject(s) - hyperelastic material , finite element method , interpolation (computer graphics) , mathematics , tangent , shell (structure) , mixed finite element method , kinematics , tangent stiffness matrix , algebra over a field , mathematical analysis , geometry , computer science , pure mathematics , structural engineering , stiffness matrix , engineering , physics , classical mechanics , mechanical engineering , artificial intelligence , motion (physics)
For hyperelastic shells with finite rotations and large strains a p ‐finite element formulation is presented accommodating general kinematic assumptions, interpolation polynomials and particularly general three‐dimensional hyperelastic constitutive laws. This goal is achieved by hierarchical, high‐order shell models. The tangent stiffness matrices for the hierarchical shell models are derived by computer algebra. Both non‐hierarchical, nodal as well as hierarchical element shape functions are admissible. Numerical experiments show the high‐order formulation to be less prone to locking effects. Copyright © 2003 John Wiley & Sons, Ltd.