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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ArticleAuthors
Liu, YinMoran, Brian

KAUST Department
Academic AffairsGraduate Affairs
Mechanical Engineering Program
Physical Science and Engineering (PSE) Division
Date
2020-01-01Embargo End Date
2021-01-01Permanent link to this record
http://hdl.handle.net/10754/663855
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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/s10704-020-00452-4Publisher
Springer NatureAdditional Links
https://link.springer.com/article/10.1007/s10704-020-00452-4ae974a485f413a2113503eed53cd6c53
10.1007/s10704-020-00452-4