Numerical analysis of 2-d. Crack problems using MLPG method

Masanori Kikuchi, Makoto Yashiro, S. N. Atluri

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


Recently, the necessity of large-scale finite element analyses is increasing due to the development of new technology in engineering area. In these analyses, the time and cost of mesh generation processes are becoming larger and larger. Meshless method is expected to solve this problem, and many meshless methods have been developed in these years. In this study Meshless Local Petrov-Galerkin (MLPG) method which is one of meshless techniques is used to analyze two dimensional elastic problems, and its usefulness is examined. Fracture mechanics problems are also analyzed, and then energy release rate and stress intensity factor are calculated using J integral calculation, and highly accurate results are obtained. Using these parameters, the crack growth problem under mixed mode loading condition is solved. It is shown that the data generation for MLPG analyses is much easier than that of FEM. This is the advantage of MLPG method.

Original languageEnglish
Pages (from-to)369-376
Number of pages8
JournalNippon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A
Issue number3
StatePublished - Mar 2004


  • Computational Mechanics
  • Crack Propagation
  • Galerkin's Method
  • Meshless
  • Moving Least Squares
  • Numerical Analysis
  • Stress Intensity Factor


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