International Journal of Mechanical Engineering and Applications

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

Received: 06 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.

DOI 10.11648/j.ijmea.20140206.11
Published in International Journal of Mechanical Engineering and Applications (Volume 2, Issue 6, December 2014)
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), 2024. Published by Science Publishing Group

Keywords

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

References
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[14] Ma wen tao, Li ning, Shi jun ping, “Modelling crack growth by enriched Meshless method based on partition of unity,” Chinese journal of computational Mechanics, 2013, vol.30, pp.28-33.
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[17] Sayyed Shahram Ghorashi, Soheil Mohammadi, Saeed-Reza Sabbagh-Yazdi, “Orthotropic enriched element free Galerkin method for fracture analysis of composites”’ Engineering Fracture Mechanics, vol.78, 2012, pp. 1906–1927.
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Author Information
  • School of Mechanical Engineering, Southeast University, Nanjing city, Jiangsu Province, China; Faculty of Mechanical Engineering, Tuy Hoa Industrial College, Tuy Hoa City, Phu Yen Province, Vietnam

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

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    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://download.sciencepg.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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    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
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    JF  - International Journal of Mechanical Engineering and Applications
    JO  - International Journal of Mechanical Engineering and Applications
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    PB  - Science Publishing Group
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    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
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    ER  - 

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