Reduced representations of assumed fields for Hu-Washizu solid-shell element. (English) Zbl 1522.74104
Mixed eight-node (hexahedron) solid-shell finite elements based on the standard or partial version of the Hu-Washizu (HW) functional are developed. Three reduced representations of stress/strain fields are used. The element improves effectiveness of algorithms, yet retaining good accuracy and convergence properties. The efficiency of the proposed solid-shell HW elements is demonstrated on several linear and non-linear examples for the linear elastic materials and hyper-elastic materials. The proposed finite elements are compared to each other and to known finite elements.
Reviewer: V. Leontiev (Sankt-Peterburg)
MSC:
| 74S05 | Finite element methods applied to problems in solid mechanics |
| 74K25 | Shells |
| 74B20 | Nonlinear elasticity |
| 74B05 | Classical linear elasticity |
Keywords:
finite element method; mixed eight-node hexahedron element; standard Hu-Washizu functional; stress/strain field; partial Hu-Washizu functional; hyperelastic material; linear elastic materialReferences:
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