A reduced integration solid‐shell finite element based on the EAS and the ANS concept—Large deformation problems

M Schwarze, S Reese - International Journal for Numerical …, 2011 - Wiley Online Library
In this paper we address the extension of a recently proposed reduced integration eight‐
node solid‐shell finite element to large deformations. The element requires only one
integration point within the shell plane and at least two integration points over the thickness.
The possibility to choose arbitrarily many Gauss points over the shell thickness enables a
realistic and efficient modeling of the non‐linear material behavior. Only one enhanced
degree‐of‐freedom is needed to avoid volumetric and Poisson thickness locking. One key …

A reduced integration solid‐shell finite element based on the EAS and the ANS concept—Geometrically linear problems

M Schwarze, S Reese - International Journal for Numerical …, 2009 - Wiley Online Library
In this paper a new reduced integration eight‐node solid‐shell finite element is presented.
The enhanced assumed strain (EAS) concept based on the Hu–Washizu variational
principle requires only one EAS degree‐of‐freedom to cure volumetric and Poisson
thickness locking. One key point of the derivation is the Taylor expansion of the inverse
Jacobian with respect to the element center, which closely approximates the element shape
and allows us to implement the assumed natural strain (ANS) concept to eliminate the …
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