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    Asymptotic path-independent integrals for the evaluation of crack-tip parameters in a neo-Hookean material

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    Asymptotic Path-Independent Integrals for the Evaluation of Crack-Tip Par.pdf
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    1.866Mb
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    Description:
    Accepted manuscript
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    Type
    Article
    Authors
    Liu, Yin
    Moran, Brian cc
    KAUST Department
    Academic Affairs
    Graduate Affairs
    Mechanical Engineering Program
    Physical Science and Engineering (PSE) Division
    Date
    2020-01-01
    Embargo End Date
    2021-01-01
    Permanent link to this record
    http://hdl.handle.net/10754/663855
    
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    Abstract
    In this paper, we develop new asymptotic path-independent integrals for the evaluation of the crack tip parameters in a 2D neo-Hookean material. The new integrals are of both J-integral and interaction energy integral type and rely on the separation of the asymptotic boundary value problem into independent problems for each of the deformed coordinates. Both the plane stress and plane strain cases are considered. The integrals developed are used to compute the amplitude parameters of the asymptotic crack tip fields, which allows for direct extraction of these parameters from numerical results. A long strip with an edge crack under mixed loading modes is considered for both homogeneous and biomaterial cases. It is found that the asymptotic J-integrals produce good results for the first-order parameters while the interactions integrals produce good results for both the first and second-order parameters.
    Citation
    Liu, Y., & Moran, B. (2020). Asymptotic path-independent integrals for the evaluation of crack-tip parameters in a neo-Hookean material. International Journal of Fracture, 224(1), 133–150. doi:10.1007/s10704-020-00452-4
    Publisher
    Springer Nature
    Journal
    International Journal of Fracture
    DOI
    10.1007/s10704-020-00452-4
    Additional Links
    https://link.springer.com/article/10.1007/s10704-020-00452-4
    ae974a485f413a2113503eed53cd6c53
    10.1007/s10704-020-00452-4
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Mechanical Engineering Program

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