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Finite difference stress analysis of anisotropic three-dimensional curved bodies with free boundaries
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.
Finite difference stress analysis of anisotropic three-dimensional curved bodies with free boundaries
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.
Finite difference stress analysis of anisotropic three-dimensional curved bodies with free boundaries
KSCE J Civ Eng
Paik, Han Sol (Autor:in) / Lee, Sang Youl (Autor:in) / Chang, Suk Yoon (Autor:in)
KSCE Journal of Civil Engineering ; 8 ; 49-57
01.01.2004
9 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
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