skip to main content
10.1145/3379310.3379311acmotherconferencesArticle/Chapter ViewAbstractPublication PagesapitConference Proceedingsconference-collections
research-article

Newton-Raphson Algorithm for Determination of SIFs and Crack-tip from Photoelastic Images

Authors Info & Claims
Published:29 March 2020Publication History

ABSTRACT

The combination of multi-parameter stress field equations and photoelastic images, a nonlinear least-squares method was deduced and applied to determine the parameters in the stress field equations of crack tip by fitting the isochromatic phase field obtained by the ten-step phase-shifting in digital photoelasticity. Not only the parameters in the stress field equations but also the coordinates of crack tip were determined simultaneously and automatically by using the proposed method. A set of over-determined nonlinear equations were established to estimate the unknown parameters by an iterative procedure based on Newton-Raphson method. Simulation and experimental results validated the correctness of the proposed method.

References

  1. Westergaard, H. M. 1939. Bearing pressure and cracks. J. Appl. Mech. 6, 49--53.Google ScholarGoogle ScholarCross RefCross Ref
  2. Irwin, G. R. 1957. Analysis of stress and strains near the end of a crack traversing a plate. J. Appl. Mech. 24, 361--364.Google ScholarGoogle ScholarCross RefCross Ref
  3. Vivekanandan, A. and Ramesh, K. 2019. Study of interaction effects of asymmetric cracks under biaxial loading using digital photoelasticity. Theor. Appl. Fract. Mech. 99 (Feb. 2019), 104--117. DOI= https://doi.org/10.1016/j.tafmec.2018. 11.011Google ScholarGoogle Scholar
  4. Hariprasad, M. P. and Ramesh, K. 2018. Analysis of contact zones from whole field isochromatics using reflection photoelasticity. Opt. Las. Engin. 105(Jun 2018), 86--92. DOI= https://doi.org/10.1016/j.optlaseng.2018.01.005Google ScholarGoogle Scholar
  5. Patil, P., Vyasarayani, C. P. and Ramji, M. 2017. Linear least squares approach for evaluating crack tip fracture parameters using isochromatic and isoclinic data from digital photoelasticity. Opt. Las. Engin. 93(Jun. 2017), 182--194.Google ScholarGoogle Scholar
  6. Zhenkun, L., Minrui, F. and Hai, Y. 2011. Experimental study on interfacial shear transfer in partially-debonded aluminum/ epoxy joint. Int. J. Adhes. Adhes. 31-2(March 2011), 104--111. DOI= https://doi.org/10.1016/j.ijadhadh. 2010.11. 003Google ScholarGoogle Scholar
  7. Atluri, S. N. and Kobayashi, A. S. 1987. Mechanical response of materials. In Handbook on Experimental Mechanics, Prentice-Hall, 1987, pp. 1--37.Google ScholarGoogle Scholar
  8. Zhenkun, L., Ruixiang, B., Wei, Q., Libo, D. and Bochang, H. 2014. Flexural effects of sandwich beam with core junctions under in-plane bending. Opt. Las. Engin. 52 (Jan. 2014), 131--139. DOI= https://doi.org/10.1016/j.optlaseng. 2013.06.020Google ScholarGoogle Scholar

Index Terms

  1. Newton-Raphson Algorithm for Determination of SIFs and Crack-tip from Photoelastic Images

      Recommendations

      Comments

      Login options

      Check if you have access through your login credentials or your institution to get full access on this article.

      Sign in
      • Published in

        cover image ACM Other conferences
        APIT '20: Proceedings of the 2020 2nd Asia Pacific Information Technology Conference
        January 2020
        185 pages
        ISBN:9781450376853
        DOI:10.1145/3379310

        Copyright © 2020 ACM

        Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

        Publisher

        Association for Computing Machinery

        New York, NY, United States

        Publication History

        • Published: 29 March 2020

        Permissions

        Request permissions about this article.

        Request Permissions

        Check for updates

        Qualifiers

        • research-article
        • Research
        • Refereed limited
      • Article Metrics

        • Downloads (Last 12 months)5
        • Downloads (Last 6 weeks)0

        Other Metrics

      PDF Format

      View or Download as a PDF file.

      PDF

      eReader

      View online with eReader.

      eReader