## Abstract Based on finite element formulations for the strain gradient theory of microstructures, a convergence criterion for the __C__^0โ1^ patch test is introduced, and a new approach to devise strain gradient finite elements that can pass the __C__^0โ1^ patch test is proposed. The displacement
The patch test conditions and some multivariable finite element formulations
โ Scribed by Wu Zhang; D. P. Chen
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 151 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0029-5981
No coin nor oath required. For personal study only.
โฆ Synopsis
From a unified viewpoint, this article establishes the practical and general constant stress patch test conditions (PTC) for analysing and ensuring convergence or robustness of some multivariable finite element (MFE) formulations, such as hybrid-mixed and incompatible element formulations. The proposed PTC are applied to develop new general MFE formulations which pass PTC and a family of corresponding MFE for stress analysis. Several numerical examples are also given.
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