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Improvement of the performance of a tetrahedral element with rotational DOFs using strain smoothing techniques

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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.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology, Daejeon, 305-701, Korea

    Chang Min Shin, Seung Han Kang & Byung Chai Lee

Authors
  1. Chang Min Shin
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  2. Seung Han Kang
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  3. Byung Chai Lee
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Corresponding author

Correspondence to Chang Min Shin.

Additional information

Recommended by Associate Editor Kyeong Sik Woo

Chang-min Shin received a B.S. in Mechanical Engineering from Hanyang University in 2005. Mr. Shin is currently a Ph.D candidate of the Department of Mechanical Engineering at Korea Advanced Institute of Science and Technology.

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Shin, C.M., Kang, S.H. & Lee, B.C. Improvement of the performance of a tetrahedral element with rotational DOFs using strain smoothing techniques. J Mech Sci Technol 26, 1107–1114 (2012). https://doi.org/10.1007/s12206-012-0224-y

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  • DOI: https://doi.org/10.1007/s12206-012-0224-y

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