A Generalized Finite Difference Method for Crack Analysis

일반화된 유한차분법을 이용한 균열해석

  • 윤영철 (명지전문대학 토목과) ;
  • 김동조 (연세대학교 사회환경시스템공학부) ;
  • 이상호 (연세대학교 사회환경시스템공학부)
  • Published : 2007.04.12

Abstract

A generalized finite difference method for solving solid mechanics problems such as elasticity and crack problems is presented. The method is constructed in framework of Taylor polynomial based on the Moving Least Squares method and collocation scheme based on the diffuse derivative approximation. The governing equations are discretized into the difference equations and the nodal solutions are obtained by solving the system of equations. Numerical examples successfully demonstrate the robustness and efficiency of the proposed method.

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