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A Locking-Free Nonconforming Finite Element Method for Planar Linear Elasticity

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Abstract

We propose a locking-free nonconforming finite element method based on quadrilaterals to solve for the displacement variable in the pure displacement boundary value problem of planar linear elasticity. The method proposed in this paper is optimal and robust in the sense that the convergence estimates in the energy and L 2-norms are independent of the Lamé parameter λ.

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Authors and Affiliations

  1. Division of Applied Mathematics, KAIST, Daejeon, 305-701, Korea

    Chang-Ock Lee

  2. Department of Mathematics, Kwangwoon University, Seoul, 139-701, Korea

    Jongwoo Lee

  3. Department of Mathematics, Seoul National University, Seoul, 151-747, Korea

    Dongwoo Sheen

Authors
  1. Chang-Ock Lee
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  2. Jongwoo Lee
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  3. Dongwoo Sheen
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Lee, CO., Lee, J. & Sheen, D. A Locking-Free Nonconforming Finite Element Method for Planar Linear Elasticity. Advances in Computational Mathematics 19, 277–291 (2003). https://doi.org/10.1023/A:1022838628615

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