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A three-dimensional cell-based smoothed finite element method for elasto-plasticity

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Abstract

This work is concerned with a three-dimensional cell-based smoothed finite element method for application to elastic-plastic analysis. The formulation of smoothed finite elements is extended to cover elastic-plastic deformations beyond the classical linear theory of elasticity, which has been the major application domain of smoothed finite elements. The finite strain deformations are treated with the aid of the formulation based on the hyperelastic constitutive equation. The volumetric locking originating from the nearly incompressible behavior of elastic-plastic deformations is remedied by relaxing the volumetric strain through the mean value. The comparison with the conventional finite elements demonstrates the effectiveness and accuracy of the present approach.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology (KAIST), 291 Daehak-ro, Yuseong-gu, Daejeon, 305-701, Korea

    Kyehyung Lee & Seyoung Im

  2. Satellite Structure Department, Korea Aerospace Research Institute (KARI), 169-84 Gwahak-ro, Yuseong-gu, Daejeon, 305-806, Korea

    Jae Hyuk Lim

  3. Division of Mechanical and Energy Systems Engineering, College of Engineering, Korea Maritime and Ocean University, 727 Taejong-ro, Yeongdo-gu, Busan, 606-791, Korea

    Dongwoo Sohn

Authors
  1. Kyehyung Lee
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  2. Jae Hyuk Lim
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  3. Dongwoo Sohn
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  4. Seyoung Im
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Corresponding author

Correspondence to Seyoung Im.

Additional information

Recommended by Associate Editor Hyung Yil Lee

Seyoung Im received B.S. degree (1976) of mechanical engineering from Seoul National University, Korea and Ph.D. (1985) of theoretical and applied mechanics from University of Illinois at Urbana-Champaign, USA. He is currently a professor at the department of mechanical engineering in Korea Advanced Institute of Science and Technology (KAIST). His current interests are computational nanotechnology and multiphysics.

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Lee, K., Lim, J.H., Sohn, D. et al. A three-dimensional cell-based smoothed finite element method for elasto-plasticity. J Mech Sci Technol 29, 611–623 (2015). https://doi.org/10.1007/s12206-015-0121-2

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  • DOI: https://doi.org/10.1007/s12206-015-0121-2

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