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Analysis of Dynamic Crack Propagation using MLS Difference Method

MLS 차분법을 이용한 동적균열전파 해석

  • Yoon, Young-Cheol (Department of Civil Engineering, Myongji College) ;
  • Kim, Kyeong-Hwan (Department of Civil Environment Engineering, Yonsei University) ;
  • Lee, Sang-Ho (Department of Civil Environment Engineering, Yonsei University)
  • 윤영철 (명지전문대학 토목과) ;
  • 김경환 (연세대학교 토목환경공학과) ;
  • 이상호 (연세대학교 토목환경공학과)
  • Received : 2013.09.03
  • Accepted : 2013.11.20
  • Published : 2014.02.28

Abstract

This paper presents a dynamic crack propagation algorithm based on the Moving Least Squares(MLS) difference method. The derivative approximation for the MLS difference method is derived by Taylor expansion and moving least squares procedure. The method can analyze dynamic crack problems using only node model, which is completely free from the constraint of grid or mesh structure. The dynamic equilibrium equation is integrated by the Newmark method. When a crack propagates, the MLS difference method does not need the reconstruction of mode model at every time step, instead, partial revision of nodal arrangement near the new crack tip is carried out. A crack is modeled by the visibility criterion and dynamic energy release rate is evaluated to decide the onset of crack growth together with the corresponding growth angle. Mode I and mixed mode crack propagation problems are numerically simulated and the accuracy and stability of the proposed algorithm are successfully verified through the comparison with the analytical solutions and the Element-Free Galerkin method results.

Acknowledgement

Supported by : 한국연구재단

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