One point quadrature shell element with through-thickness stretch
By Rui P. R. Cardoso, Jeong Whan Yoon. 2005
63 citations recorded by the source corpus.
A general purpose one point quadrature shell element accounting for through-thickness deformation is developed. In the shell, a complete 3-D constitutive law is introduced, leading to a 7-parameter theory which explicitly accounts for thickness change and also for a linear variation of thickness stretch. An interpolation scheme for the shell director is developed to avoid thickness locking. The developed shell element covers flexible warping behavior by using a local nodal coordinate system at each node, which is updated with second order accuracy. A physical stabilization scheme for zero energy modes is employed based on the decomposition of the strain field into constant and linear terms with respect to the natural coordinates. The rigid body projection is applied to treat rigid body rotations effectively. Linear and nonlinear patch tests including elasto-plasticity and contact are performed and the results are compared with analytical or previously reported results. The results are also compared with those of 5-parameter shell elements, in order to show that there is no significant deterioration in accuracy, especially for thin shell applications.
Subfields: Biomedical Engineering, Control and Systems Engineering, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/66d7015bed9fa1808ae44ac69cd6a2c4f9d59eeb
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In Control and Systems Engineering
In Mechanics of Materials
- J. Gracio
- R. Fontes Valente
- R. J. Alves de Sousa
- R. N. Natal Jorge
- Rui P. R. Cardoso
- Jeong Whan Yoon
- Stefanie Reese
- Frederic Barlat
Citations in the corpus
- A reduced integration solid‐shell finite element based on the EAS and the ANS concept—Geometrically linear problems (2009, unknown): “[8], Cardoso and Yoon [9] or Lu et al.”
- A new one‐point quadrature enhanced assumed strain (EAS) solid‐shell element with multiple integration points along thickness—part II: nonlinear applications (2006, methodology): “Following Cardoso [47], Cardoso and Yoon [48, 49] and Cardoso et al. [50], the nonlinear hourglass forces are updated from the last converged configuration, being the incremental force vectors evaluated at the intermediate configuration.”