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Finite difference stress analysis of anisotropic three-dimensional curved bodies with free boundaries

  • Structural Engineering
  • Published:
KSCE Journal of Civil Engineering Aims and scope

Abstract

This paper investigates normal and shear stress distributions of anisotropic three-dimensional (3D) curved bodies using the Refined Finite Difference method (FDM). In the numerical analysis of various mechanical problems involving complex partial differential equations, the FDM has an advantage over the Finite Element Method in its ability to avoid mesh generation and numerical integration. One of the important points in the finite difference formulation for 3D anisotropic problems is the generalized approach for various boundary conditions. Many studies in FDM have been made on clamped or simple boundary conditions using merely an energy approach. These approaches cannot be satisfied, however, with pivotal points along the free boundary. This study addresses the 3D problem of anisotropic curved bodies by adopting a refined 3D finite difference modeling elimination of pivotal difference points in the case of a free boundary condition. Numerical examples present stress distribution characteristics through the depth direction of more complicated anisotropic curved bodies. The study also demonstrates the differences between the displacement and stress characteristics of isotropic, orthotropic and anisotropic cases.

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Authors and Affiliations

  1. SK Engineering & Construction, Seoul, Korea

    Han Sol Paik (Member, Doctorate)

  2. Department of Civil & Environmental Engineering, MIT, Cambridge, U.S.A.

    Sang Youl Lee (Member, Post-doctorate)

  3. Department of Civil Engineering, University of Seoul, Seoul, Korea

    Suk Yoon Chang (Member, Professor)

Authors
  1. Han Sol Paik
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  2. Sang Youl Lee
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  3. Suk Yoon Chang
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Correspondence to Han Sol Paik.

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Paik, H.S., Lee, S.Y. & Chang, S.Y. Finite difference stress analysis of anisotropic three-dimensional curved bodies with free boundaries. KSCE J Civ Eng 8, 49–57 (2004). https://doi.org/10.1007/BF02829080

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  • DOI: https://doi.org/10.1007/BF02829080

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