Journal
JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY
Volume 26, Issue 4, Pages 1107-1114Publisher
KOREAN SOC MECHANICAL ENGINEERS
DOI: 10.1007/s12206-012-0224-y
Keywords
Tetrahedrons; Rotational DOFs; Partition-of-unity; Strain smoothing technique
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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.
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