An analysis of some higher-order triangular elements and their susceptibility to hourglassing in Lagrangian fluid simulations
✍ Scribed by A. Priestley
- Publisher
- John Wiley and Sons
- Year
- 1993
- Tongue
- English
- Weight
- 500 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0029-5981
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✦ Synopsis
Abstract
In Lagrangian codes two of the main problems are hourglassing with bilinear quadrilateral elements and mesh locking with linear triangular elements. Higher‐order triangular elements, with their greater number of degrees of freedom, should not suffer from mesh locking, Hourglassing, though, is caused by the interaction of the element and the quadrature used to evaluate the integrals of the derivatives on it. Higher‐order triangular elements, as we shall see, unlike their linear counterparts, also suffer from this spurious mode. A higher‐order element/quadrature combination is found that does not suffer from hourglassing. The main fault of this combination is the extra cost involved over the more usual linear or bilinear element with centroid quadrature combination. A short discussion is given regarding this point.