Abstract
A numerical mode I weight function first presented by Parks and Kamenetzky [1] is extended for application to three-dimensional cracked bodies. This weight function makes use of the stiffness derivative method as part of finite element calculations. A virtual crack extension is employed. The major difficulty is proper interpretation of the shape function variation for implementation in three dimensions. Numerical examples in two and three dimensions are examined. Excellent results are obtained in comparison to solutions in the literature, as well as some further finite element studies which are carried out here.
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Banks-Sills, L., Makevet, E. A numerical mode I weight function for calculating stress intensity factors of three-dimensional cracked bodies. Int J Fract 76, 169–191 (1996). https://doi.org/10.1007/BF00018535
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DOI: https://doi.org/10.1007/BF00018535