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Near-tip singular fields for an interface anticrack between dissimilar anisotropic elastic materials

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Abstract

We study the near-tip singular fields for an interface anticrack between dissimilar anisotropic elastic materials using the sextic Stroh formalism. The stress and strain fields exhibit an oscillatory singularity and a square root singularity at the anticrack tip. A complex and a real strain/rotation intensity factors are introduced to scale, respectively, the two singularities. An explicit expression for the negative anticrack contraction force is obtained in terms of the proposed intensity factors. We illustrate our results using an example in which the bimaterial is orthotropic. In this typical case, a complex stress intensity factor can also be defined to replace the complex strain/rotation intensity factor.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (Grant No. 11272121) and through a Discovery Grant from the Natural Sciences and Engineering Research Council of Canada (Grant No. RGPIN – 2017 - 03716115112).

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Authors and Affiliations

  1. School of Mechanical and Power Engineering, East China University of Science and Technology, 130 Meilong Road, Shanghai, 200237, China

    Xu Wang

  2. Department of Mechanical Engineering, University of Alberta, 10-203 Donadeo Innovation Centre for Engineering, Edmonton, AB, T6G 1H9, Canada

    Peter Schiavone

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  1. Xu Wang
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  2. Peter Schiavone
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Correspondence to Xu Wang or Peter Schiavone.

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Wang, X., Schiavone, P. Near-tip singular fields for an interface anticrack between dissimilar anisotropic elastic materials. Arch Appl Mech 90, 2675–2680 (2020). https://doi.org/10.1007/s00419-020-01739-7

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