## Abstract This paper focuses on the computation of statistical moments of strains and stresses in a random system model where uncertainty is modeled by a stochastic finite element method based on the polynomial chaos expansion. It identifies the cases where this objective can be achieved by analy
Convergence of stress maxima in finite element computations
✍ Scribed by Yosibash, Zohar ;Szabó, Barna A.
- Publisher
- John Wiley and Sons
- Year
- 1994
- Tongue
- English
- Weight
- 716 KB
- Volume
- 10
- Category
- Article
- ISSN
- 1069-8299
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✦ Synopsis
The convergence of stress maxima, computed directly from finite element solutions, is investigated with respect to a family of exact solutions characterized by varying degrees of smoothness. The performances of h-and p-extensions and the product and trunk spaces are evaluated and documented with respect to a family of benchmark problems. In uniform p-extensions a characteristic pattern in the convergence of stress maxima was observed. There does not appear to be a clear-cut advantage of the product space over the trunk space in this respect. The much faster convergence of stress maxima in the case of p-extensions, as compared with h-extensions, is evident from the results.
📜 SIMILAR VOLUMES
Recent efforts to develop and apply adaptive finite element techniques for solving complex flow problems are reviewed. The emphasis is not on new methods but on how to use existing methods to achieve accurate predictions. Various sources of errors, and means of detecting them, are discussed. The aim