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Line and point defects in nonlinear anisotropic solids

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Abstract

In this paper, we present some analytical solutions for the stress fields of nonlinear anisotropic solids with distributed line and point defects. In particular, we determine the stress fields of (i) a parallel cylindrically symmetric distribution of screw dislocations in infinite orthotropic and monoclinic media, (ii) a cylindrically symmetric distribution of parallel wedge disclinations in an infinite orthotropic medium, (iii) a distribution of edge dislocations in an orthotropic medium, and (iv) a spherically symmetric distribution of point defects in a transversely isotropic spherical ball.

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Acknowledgements

This work was partially supported by NSF—Grant No. CMMI 1561578, ARO Grant No. W911NF-18-1-0003, and AFOSR—Grant No. FA9550-12-1-0290.

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  1. School of Civil and Environmental Engineering, Georgia Institute of Technology, Atlanta, GA, 30332, USA

    Ashkan Golgoon

  2. School of Civil and Environmental Engineering,The George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA, 30332, USA

    Arash Yavari

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Golgoon, A., Yavari, A. Line and point defects in nonlinear anisotropic solids. Z. Angew. Math. Phys. 69, 81 (2018). https://doi.org/10.1007/s00033-018-0973-2

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