Structural Engineering and Mechanics

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Static assessment of quadratic hybrid plane stress element using non-conforming displacement modes and modified shape functions

  • Received : 2007.11.21
  • Accepted : 2008.06.09
  • Published : 2008.08.20
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Abstract

In this paper, we present a quadratic element model based on non-conforming displacement modes and modified shape functions. This new and refined 8-node hybrid stress plane element consists of two additional non-conforming modes that are added to the translational degree of freedom to improve the behavior of a membrane component. Further, the modification of the shape functions through quadratic polynomials in x-y coordinates enables retaining reasonable accuracy even when the element becomes considerably distorted. To establish its accuracy and efficiency, the element is compared with existing elements and - over a wide range of mesh distortions - it is demonstrated to be exceptionally accurate in predicting displacements and stresses.

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References

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