Analysis and Prediction of Crack Propagation in Plates by the Enriched Free Galerkin Method

Bui Manh Tuan; Chen Yun Fei

doi:doi:10.11648/j.ijmea.20140206.11

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Analysis and Prediction of Crack Propagation in Plates by the Enriched Free Galerkin Method

Bui Manh Tuan, Chen Yun Fei

Published in International Journal of Mechanical Engineering and Applications (Volume 2, Issue 6)

Received: 6 November 2014 Accepted: 21 November 2014 Published: 25 November 2014

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Abstract

This paper presents a centre and edge crack analysis using meshless methods which is based on moving least squares (MLS) approximation. The unknown displacement function u(x) is approximated by moving least square approximation uh(x). These approximation are constructed by using a weight function which is based a monomial basis function and a set of non-constant coefficients. A subdivision that is similar to finite element method is used to provide a background mesh for numerical integration. An enriched EFG formulation with fracture problems is proposed to improve the solution accuracy for linear elastic fracture problem. The essential boundary conditions are enforced by Lagrange multipliers method. A code has been written in Matlab for the analysis of a crack tip. The obtained results of the developed EFG-code were compared to available experimental data and other numerical (exact methods and finite element method) methods.

Published in	International Journal of Mechanical Engineering and Applications (Volume 2, Issue 6)
DOI	10.11648/j.ijmea.20140206.11
Page(s)	78-86
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2014. Published by Science Publishing Group

Keywords

Crack, Stress Intensity Factor, EFG Method, Moving Least Squares Approximant, Crack Propagation

References

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APA Style

Bui Manh Tuan, Chen Yun Fei. (2014). Analysis and Prediction of Crack Propagation in Plates by the Enriched Free Galerkin Method. International Journal of Mechanical Engineering and Applications, 2(6), 78-86. https://doi.org/10.11648/j.ijmea.20140206.11

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ACS Style

Bui Manh Tuan; Chen Yun Fei. Analysis and Prediction of Crack Propagation in Plates by the Enriched Free Galerkin Method. Int. J. Mech. Eng. Appl. 2014, 2(6), 78-86. doi: 10.11648/j.ijmea.20140206.11

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AMA Style

Bui Manh Tuan, Chen Yun Fei. Analysis and Prediction of Crack Propagation in Plates by the Enriched Free Galerkin Method. Int J Mech Eng Appl. 2014;2(6):78-86. doi: 10.11648/j.ijmea.20140206.11

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@article{10.11648/j.ijmea.20140206.11,
  author = {Bui Manh Tuan and Chen Yun Fei},
  title = {Analysis and Prediction of Crack Propagation in Plates by the Enriched Free Galerkin Method},
  journal = {International Journal of Mechanical Engineering and Applications},
  volume = {2},
  number = {6},
  pages = {78-86},
  doi = {10.11648/j.ijmea.20140206.11},
  url = {https://doi.org/10.11648/j.ijmea.20140206.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijmea.20140206.11},
  abstract = {This paper presents a centre and edge crack analysis using meshless methods which is based on moving least squares (MLS) approximation. The unknown displacement function u(x) is approximated by moving least square approximation uh(x). These approximation are constructed by using a weight function which is based a monomial basis function and a set of non-constant coefficients. A subdivision that is similar to finite element method is used to provide a background mesh for numerical integration. An enriched EFG formulation with fracture problems is proposed to improve the solution accuracy for linear elastic fracture problem. The essential boundary conditions are enforced by Lagrange multipliers method. A code has been written in Matlab for the analysis of a crack tip. The obtained results of the developed EFG-code were compared to available experimental data and other numerical (exact methods and finite element method) methods.},
 year = {2014}
}

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TY  - JOUR
T1  - Analysis and Prediction of Crack Propagation in Plates by the Enriched Free Galerkin Method
AU  - Bui Manh Tuan
AU  - Chen Yun Fei
Y1  - 2014/11/25
PY  - 2014
N1  - https://doi.org/10.11648/j.ijmea.20140206.11
DO  - 10.11648/j.ijmea.20140206.11
T2  - International Journal of Mechanical Engineering and Applications
JF  - International Journal of Mechanical Engineering and Applications
JO  - International Journal of Mechanical Engineering and Applications
SP  - 78
EP  - 86
PB  - Science Publishing Group
SN  - 2330-0248
UR  - https://doi.org/10.11648/j.ijmea.20140206.11
AB  - This paper presents a centre and edge crack analysis using meshless methods which is based on moving least squares (MLS) approximation. The unknown displacement function u(x) is approximated by moving least square approximation uh(x). These approximation are constructed by using a weight function which is based a monomial basis function and a set of non-constant coefficients. A subdivision that is similar to finite element method is used to provide a background mesh for numerical integration. An enriched EFG formulation with fracture problems is proposed to improve the solution accuracy for linear elastic fracture problem. The essential boundary conditions are enforced by Lagrange multipliers method. A code has been written in Matlab for the analysis of a crack tip. The obtained results of the developed EFG-code were compared to available experimental data and other numerical (exact methods and finite element method) methods.
VL  - 2
IS  - 6
ER  -

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Author Information

Bui Manh Tuan

School of Mechanical Engineering, Southeast University, Nanjing city, Jiangsu Province, China
Chen Yun Fei

School of Mechanical Engineering, Southeast University, Nanjing city, Jiangsu Province, China

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APA Style

Bui Manh Tuan, Chen Yun Fei. (2014). Analysis and Prediction of Crack Propagation in Plates by the Enriched Free Galerkin Method. International Journal of Mechanical Engineering and Applications, 2(6), 78-86. https://doi.org/10.11648/j.ijmea.20140206.11

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ACS Style

Bui Manh Tuan; Chen Yun Fei. Analysis and Prediction of Crack Propagation in Plates by the Enriched Free Galerkin Method. Int. J. Mech. Eng. Appl. 2014, 2(6), 78-86. doi: 10.11648/j.ijmea.20140206.11

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AMA Style

Bui Manh Tuan, Chen Yun Fei. Analysis and Prediction of Crack Propagation in Plates by the Enriched Free Galerkin Method. Int J Mech Eng Appl. 2014;2(6):78-86. doi: 10.11648/j.ijmea.20140206.11

Copy | Download

@article{10.11648/j.ijmea.20140206.11,
  author = {Bui Manh Tuan and Chen Yun Fei},
  title = {Analysis and Prediction of Crack Propagation in Plates by the Enriched Free Galerkin Method},
  journal = {International Journal of Mechanical Engineering and Applications},
  volume = {2},
  number = {6},
  pages = {78-86},
  doi = {10.11648/j.ijmea.20140206.11},
  url = {https://doi.org/10.11648/j.ijmea.20140206.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijmea.20140206.11},
  abstract = {This paper presents a centre and edge crack analysis using meshless methods which is based on moving least squares (MLS) approximation. The unknown displacement function u(x) is approximated by moving least square approximation uh(x). These approximation are constructed by using a weight function which is based a monomial basis function and a set of non-constant coefficients. A subdivision that is similar to finite element method is used to provide a background mesh for numerical integration. An enriched EFG formulation with fracture problems is proposed to improve the solution accuracy for linear elastic fracture problem. The essential boundary conditions are enforced by Lagrange multipliers method. A code has been written in Matlab for the analysis of a crack tip. The obtained results of the developed EFG-code were compared to available experimental data and other numerical (exact methods and finite element method) methods.},
 year = {2014}
}

Copy | Download

TY  - JOUR
T1  - Analysis and Prediction of Crack Propagation in Plates by the Enriched Free Galerkin Method
AU  - Bui Manh Tuan
AU  - Chen Yun Fei
Y1  - 2014/11/25
PY  - 2014
N1  - https://doi.org/10.11648/j.ijmea.20140206.11
DO  - 10.11648/j.ijmea.20140206.11
T2  - International Journal of Mechanical Engineering and Applications
JF  - International Journal of Mechanical Engineering and Applications
JO  - International Journal of Mechanical Engineering and Applications
SP  - 78
EP  - 86
PB  - Science Publishing Group
SN  - 2330-0248
UR  - https://doi.org/10.11648/j.ijmea.20140206.11
AB  - This paper presents a centre and edge crack analysis using meshless methods which is based on moving least squares (MLS) approximation. The unknown displacement function u(x) is approximated by moving least square approximation uh(x). These approximation are constructed by using a weight function which is based a monomial basis function and a set of non-constant coefficients. A subdivision that is similar to finite element method is used to provide a background mesh for numerical integration. An enriched EFG formulation with fracture problems is proposed to improve the solution accuracy for linear elastic fracture problem. The essential boundary conditions are enforced by Lagrange multipliers method. A code has been written in Matlab for the analysis of a crack tip. The obtained results of the developed EFG-code were compared to available experimental data and other numerical (exact methods and finite element method) methods.
VL  - 2
IS  - 6
ER  -

Copy | Download