Stabilized finite element formulations for shells in a bending dominated state
نویسندگان
چکیده
We consider the design of nite element methods for the Naghdi shell model in the case when the deformation is bending dominated. Two formulations based on stabilizing techniques are introduced and it is proved that they are stable, hence free from locking. The theoretical estimates are connrmed by numerical benchmark studies. M ethodes d' el ements nis stabilis ees pour les coques a exion dominante R esum e : On s'int eresse aux m ethodes d' el ements nis appliqu ees au mod ele de coque de Naghdi dans le cas o u la d eformation est \\ a exion dominante", dans le but d' eliminer le verrouillage num erique. On propose deux formulations, b^ aties sur le principe des m ethodes mixtes stabilis ees, dont on d emontre qu'elles sont stables, ce qui exclut eeectivement le verrouillage. Ces r esultats th eoriques sont corrobor es par des etudes num eriques eeectu ees sur des cas-tests.
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An Analysis of a Bilinear Reduced Strain Element in the Case of an Elliptic Shell in a Bending Dominated State of Deformation1
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