Elastic Fields in a Polyhedral Inclusion With Uniform Eigenstrains and Related Problems

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  • H. Nozaki
    Faculty of Education, Ibaraki University, 2-1-1 Bunkyo Mito, Ibaraki 310-8512, Japan
  • M. Taya
    Department of Mechanical Engineering, University of Washington, Box 352600, Seattle, WA 98195-2600

Bibliographic Information

Published
2000-04-14
DOI
  • 10.1115/1.1362670
Publisher
ASME International

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<jats:p>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 inhomogeneities. It is found that the stresses at the center of a polyhedral inclusion with uniaxial eigenstrain do not coincide with those for a spherical inclusion (Eshelby’s solution) except for dodecahedron and icosahedron which belong to icosidodeca family, i.e., highly symmetrical structure.</jats:p>

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