Elastic fields in a polyhedral inclusion with uniform eigenstrains and related problems

  title={Elastic fields in a polyhedral inclusion with uniform eigenstrains and related problems},
  author={Hideaki Nozaki and Minoru Taya},
  journal={Journal of Applied Mechanics},
In this paper, the elastic field in an infinite elastic body containing a polyhedral inclusion with uniform eigenstrains is investigated. Exact solutions are obtained for the stress field in and around a fully general polyhedron, i.e., an arbitrary bounded region of three-dimensional space with a piecewise planner boundary. Numerical results are presented for the stress field and the strain energy for several major polyhedra and the effective stiffness of a composite with regular polyhedral… 

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  • Mathematics
    Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
  • 1957
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