On best-fit corotated frames for 3D continuum finite elements

SUMMARY We discuss a strategy to construct corotated frames for three‐dimensional continuum finite elements by minimizing deformations within the frame. We find that irrespective of the type of element and the number of nodes, using a quaternion parametrization of rotations, this minimization is nat...

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Veröffentlicht in:	International journal for numerical methods in engineering 2014-04, Vol.98 (2), p.105-130
Hauptverfasser:	Mostafa, M., Sivaselvan, M.V.
Format:	Artikel
Sprache:	eng
Schlagworte:	Continuums corotational eigenvalue Eigenvalues Finite element method Frames Mathematical analysis Mathematical models minimization projection quaternion solid-shell Stiffness matrix symmetric stiffness matrix Three dimensional
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