An Application of the Method of Arbitrary Lines to 3D Elastic Stress Analysis

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  • KAMINISHI Ken
    Yamaguchi University, Department of Mechanical Engineering
  • ANDO Ryuma
    Yamaguchi University, Department of Mechanical Engineering

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  • Application of the Method of Arbitrary Lines to 3D Elastic Stress Analysis

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説明

The MAL (Method of Arbitrary Lines) is a technique of reducing a partial differential equation to a system of ordinary differential equations. It is known that relevant use of this procedure yields high accuracy in some problems of two-dimensional elasticity and elastoplasticity. Since the basic concept of MAL is simple and based on generality, it is expected that many problems in other fields will be effectively solvable by this method. In this study, we consider the application of MAL to 3D (three-dimensional) elasticity analysis. We first give a MAL formulation of 3D elasticity problems, and demonstrate its effectiveness and accuracy for a typical problem. The reported numerical results are compared with the exact solution or that of the finite element method (FEM).

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