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Complete theoretical analysis for higher order asymptotic terms and the HRR zone at a crack tip for Mode I and Mode II loading of a hardening material

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Summary

A complete development for the first two terms of the crack tip fields for both Mode I and Mode II loading of a hardening material in either plane stress or plane strain is performed, including the elastic deformation in the analysis. It is shown that the determination of the order of the second term depends on bothn and whether plane stress or plane strain is considered. In addition, regions of HRR dominance at a crack tip for the field variables are estimated. Comparison of the analytic predictions with finite element results indicates that the analytic results for the zone of HRR dominance are in agreement with numerical predictions.

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  1. S. Yang,  Y. J. Chao &  M. A. Sutton

    Present address: Department of Mechanical Engineering, University of South Carolina, 29208, Columbia, SC, USA

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    1. S. Yang
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    2. Y. J. Chao
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    3. M. A. Sutton
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    Yang, S., Chao, Y.J. & Sutton, M.A. Complete theoretical analysis for higher order asymptotic terms and the HRR zone at a crack tip for Mode I and Mode II loading of a hardening material. Acta Mechanica 98, 79–98 (1993). https://doi.org/10.1007/BF01174295

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