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

Masanori Kikuchi; Makoto Yashiro; S. N. Atluri

doi:10.1299/kikaia.70.369

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

Masanori Kikuchi, Makoto Yashiro, S. N. Atluri

Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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 language	English
Pages (from-to)	369-376
Number of pages	8
Journal	Nippon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A
Volume	70
Issue number	3
DOIs	https://doi.org/10.1299/kikaia.70.369
State	Published - Mar 2004

Keywords

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

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10.1299/kikaia.70.369

Cite this

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title = "Numerical analysis of 2-d. Crack problems using MLPG method",

abstract = "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.",

keywords = "Computational Mechanics, Crack Propagation, Galerkin's Method, Meshless, Moving Least Squares, Numerical Analysis, Stress Intensity Factor",

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AU - Kikuchi, Masanori

AU - Yashiro, Makoto

AU - Atluri, S. N.

PY - 2004/3

Y1 - 2004/3

N2 - 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.

AB - 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.

KW - Computational Mechanics

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KW - Galerkin's Method

KW - Meshless

KW - Moving Least Squares

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KW - Stress Intensity Factor

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

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Keywords

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