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1 Machine Dynamics Problems

1 2002

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On the Avoidance of POISSON Thickness Locking in Surface-Related Shell Theories by an Extension of the EAS Method

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Schlebusch R. , Matheas J. , Zastrau B. W.

Machine Dynamics Problems

2002

tom Vol. 26, No. 4

101-114

The enhanced assumed strain (EAS) method as introduced by Simo and Rifai (1990), Buchter and Ramm (1992), Buchter et al. (1994) represents a very efficient concept for the prevention and reduction of locking phenomena. The utilization of the EAS method to prevent POISSON thickness locking in the context of a 6-parameter shell formulation without rotational degrees of freedom and the middle surface as reference surface is a well known procedure in literature, Bischoff (1999), Klinkel (2000). In this contribution the EAS method is applied in a shell theory that uses an outer surface as the reference surface and is therefore called a surface-related shell theory. In contrast to the middle surface shell theory the EAS concept to prevent POISSON thickness locking in connection with surface-related formulations evokes a coupling of the membrane force and moment tensor, if the orthogonality condition is evaluated. Two additional concepts against locking phenomena are introduced: the assumed natural strain (ANS) concept, cp. Simo and Hughes (1986), and the discrete shear gap (DSG) concept, cp Bletzinger et al. (1998). The combination of the aforementioned concepts leads to an efficient finite volume shell element that is demonstrated in numerical examples.