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| Improvement of the performance of a tetrahedral element with rotational DOFs using strain smoothing techniques
Chang Min Shin*, Seung Han Kang and Byung Chai Lee
The Journal of Mechanical Science and Technology, vol. 26, no. 4, pp.1107-1114, 2012
Abstract : In this paper, the performance of a 4-node tetrahedral element with rotational DOFs is improved using strain smoothing techniques. A
partition-of-unity based approximation is used to construct the tetrahedral element with rotational DOFs. To overcome the stiff behavior
of the tetrahedral element with rotational DOFs, a face-based strain smoothing technique is used. The stiffness matrix is expressed explicitly
and the element performance is evaluated through numerical examples, which demonstrate that the proposed strain smoothed tetrahedral
elements with rotational DOFs satisfy the patch test and have a better performance than other tetrahedral elements with rotational
DOFs.
Keyword : Tetrahedrons; Rotational DOFs; Partition-of-unity; Strain smoothing technique |
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