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Polyhedral smoothed finite element method for thermoelastic analysis

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Abstract

Thermoelastic analysis by means of three-dimensional polyhedral elements based on the Smoothed Finite elements method (S-FEM), for example nodal Cell-based S-FEM (CS-FEM), Node-based S-FEM (NS-FEM), and Edge-based S-FEM (ES-FEM), was studied. S-FEM allows implicit shape functions, making it possible to construct shape functions of S-FEM based polyhedral elements in a straightforward manner. The performance of S-FEM based polyhedral elements was compared with one another and with the conventional finite elements including hexahedral and tetrahedral element. Numerical examples show that the polyhedral elements by means of CS-FEM and ES-FEM provide better accuracy and convergence rate than conventional hexahedral finite elements, while the polyhedral elements by means of NS-FEM leads to spurious mode.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology, 291 Daehak-ro, Yuseong-gu, Daejeon, 34141, Korea

    Hobeom Kim & Seyoung Im

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  1. Hobeom Kim
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  2. Seyoung Im
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Correspondence to Seyoung Im.

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Recommended by Associate Editor Chang-Wan Kim

Hobeom Kim received his B.S. (2013) in Mechanical Engineering from Inha University, Korea. His M.S. (2014) is from KAIST, Korea. He is a Ph.D. candidate in Mechanical Engineering at KAIST. His current interests are computational methods for thermomechanical contact analysis.

Seyoung Im received the B.S. (1976) in Mechanical Engineering from Seoul National University, Korea and Ph.D. (1985) in 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 solid mechanics and multiphysics.

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Kim, H., Im, S. Polyhedral smoothed finite element method for thermoelastic analysis. J Mech Sci Technol 31, 5937–5949 (2017). https://doi.org/10.1007/s12206-017-1138-5

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