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Evaluation of Intensity of Stress Singularity for 3D Dissimilar Material Joints Based on Mesh Free Method (Relationship between Interface Width and Intensity of Stress Singularity)

Received: 9 April 2013    Accepted:     Published: 30 May 2013
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Abstract

We present the intensity of stress singularity for 3D dissimilar material joints based on mesh free method. When load is applied to surface of the bonded structure, stress at vertex on interface drastically increases and it appears that this stress singularity occur delamination of the bonded structure. Intensity of stress singularity can be expressed by stress distribution and the intensity of stress singularity. Therefore, it is necessary to obtain the stress distribution precisely. In this study, we focus on the mesh free method for the computation of the stress distribution. When this method is applied to compute stress distribution, incompatible cell can be employed and geometrical data for a target structure can be simply prepared. To confirm the validity of the results of mesh free method, comparison of the intensity of stress singularity between the mesh free and the boundary element methods is carried out.

Published in International Journal of Mechanical Engineering and Applications (Volume 1, Issue 2)
DOI 10.11648/j.ijmea.20130102.11
Page(s) 28-33
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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

Stress Analysis by Mesh Free Method, 3D Dissimilar Material Joints, Intensity of Stress Singularity, Order of Singularity

References
[1] T. Belytschko, Y. Y.Lu and L. Gu, "Element-free Galerkin methods", Int. J. Numer. Meth. Engrg. 1994; 37(5), pp.229-256.
[2] D. B. Bogy, "Two Edge-Bonded Elastic Wedges on Different Materials and Wedge Angles Under Surface Tractions", J. Appl. Mech. 1971; 38, pp.377-386.
[3] Y.Yamada, Y.Ezawa and I.Nishiguchi, "Reconsiderations on singularity or crack tip elements", Int.J.Numer.in Engng. 1979;14: pp.1525-1544.
[4] S.S.Pageau and S.B.Bigger,JR,"Finite element evaluation of free-edge singular stress field in anisotropic materials", Int.J.Numer.in Engng. 1995;38: pp.2225-2239.
[5] H.Koguchi and T.Taniguchi, "Evaluation of interface strength at the 3D-Corner in Si-resin joint considering residual thermal stresses", The ASME 2007 InterPACK Conference 2007, 33592.
[6] P.Monchai and H.Koguchi, "Boundary element analysis of the stress field at the singularity lines in three-dimensional bonded joints under thermal loading", J. Mechanics of Materials and Structures, 2 (1), pp.149-166.
[7] H.Koguchi and M.Nakajima, "Evaluation of the bonding strength at the three-dimensional vertex in silicon-resin joints" The ASME 2009 InterPACK Conference 2009, 89091.
[8] R.D.Borst, M.A.Guierrez, G.N.Wells, J.J.C.Remmers and H.Askes, "Cohesive-zone models, higher-order continuum theories and reliability methods for computational failure analysis", Int.J.Numer.in Engng. 2004;60: pp.289-315.
[9] B.C.Simonsen and S.Li, "Mesh-free simulation of ductile fracture", Int.J.Numer.in Engng. 2004;60 : pp.1425-1450.
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  • APA Style

    T. Kurahashi, A. Ishikawa, H. Koguchi. (2013). Evaluation of Intensity of Stress Singularity for 3D Dissimilar Material Joints Based on Mesh Free Method (Relationship between Interface Width and Intensity of Stress Singularity). International Journal of Mechanical Engineering and Applications, 1(2), 28-33. https://doi.org/10.11648/j.ijmea.20130102.11

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    ACS Style

    T. Kurahashi; A. Ishikawa; H. Koguchi. Evaluation of Intensity of Stress Singularity for 3D Dissimilar Material Joints Based on Mesh Free Method (Relationship between Interface Width and Intensity of Stress Singularity). Int. J. Mech. Eng. Appl. 2013, 1(2), 28-33. doi: 10.11648/j.ijmea.20130102.11

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    AMA Style

    T. Kurahashi, A. Ishikawa, H. Koguchi. Evaluation of Intensity of Stress Singularity for 3D Dissimilar Material Joints Based on Mesh Free Method (Relationship between Interface Width and Intensity of Stress Singularity). Int J Mech Eng Appl. 2013;1(2):28-33. doi: 10.11648/j.ijmea.20130102.11

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  • @article{10.11648/j.ijmea.20130102.11,
      author = {T. Kurahashi and A. Ishikawa and H. Koguchi},
      title = {Evaluation of Intensity of Stress Singularity for 3D Dissimilar Material Joints Based on Mesh Free Method (Relationship between Interface Width and Intensity of Stress Singularity)},
      journal = {International Journal of Mechanical Engineering and Applications},
      volume = {1},
      number = {2},
      pages = {28-33},
      doi = {10.11648/j.ijmea.20130102.11},
      url = {https://doi.org/10.11648/j.ijmea.20130102.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijmea.20130102.11},
      abstract = {We present the intensity of stress singularity for 3D dissimilar material joints based on mesh free method. When load is applied to surface of the bonded structure, stress at vertex on interface drastically increases and it appears that this stress singularity occur delamination of the bonded structure. Intensity of stress singularity can be expressed by stress distribution and the intensity of stress singularity. Therefore, it is necessary to obtain the stress distribution precisely. In this study, we focus on the mesh free method for the computation of the stress distribution. When this method is applied to compute stress distribution, incompatible cell can be employed and geometrical data for a target structure can be simply prepared. To confirm the validity of the results of mesh free method, comparison of the intensity of stress singularity between the mesh free and the boundary element methods is carried out.},
     year = {2013}
    }
    

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    T1  - Evaluation of Intensity of Stress Singularity for 3D Dissimilar Material Joints Based on Mesh Free Method (Relationship between Interface Width and Intensity of Stress Singularity)
    AU  - T. Kurahashi
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    DO  - 10.11648/j.ijmea.20130102.11
    T2  - International Journal of Mechanical Engineering and Applications
    JF  - International Journal of Mechanical Engineering and Applications
    JO  - International Journal of Mechanical Engineering and Applications
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    UR  - https://doi.org/10.11648/j.ijmea.20130102.11
    AB  - We present the intensity of stress singularity for 3D dissimilar material joints based on mesh free method. When load is applied to surface of the bonded structure, stress at vertex on interface drastically increases and it appears that this stress singularity occur delamination of the bonded structure. Intensity of stress singularity can be expressed by stress distribution and the intensity of stress singularity. Therefore, it is necessary to obtain the stress distribution precisely. In this study, we focus on the mesh free method for the computation of the stress distribution. When this method is applied to compute stress distribution, incompatible cell can be employed and geometrical data for a target structure can be simply prepared. To confirm the validity of the results of mesh free method, comparison of the intensity of stress singularity between the mesh free and the boundary element methods is carried out.
    VL  - 1
    IS  - 2
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Author Information
  • Department of Mechanical Engineering, Nagaoka University of Technology, Nagaoka, Niigata 940-2188, Japan

  • Graduate School of Nagaoka University of Technology, Nagaoka, Niigata 940-2188, Japan

  • Department of Mechanical Engineering, Nagaoka University of Technology, Nagaoka, Niigata 940-2188, Japan

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