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TECHNICAL PAPERS

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

[+] Author and Article Information
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

J. Appl. Mech 68(3), 441-452 (Apr 14, 2000) (12 pages) doi:10.1115/1.1362670 History: Received May 13, 1999; Revised April 14, 2000
Copyright © 2001 by ASME
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References

Figures

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Subdivision of a side of the polyhedron
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A polygonal inhomogeneity in an infinite body subjected to far-field strain (ε111222)=(0,0,ε0)
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Comparison of effective two-dimensional Young’s moduli calculated by present method and Jasiuk’s method (25): (a) triangle, (b) square, (c) pentagon, (d) hexagon. νfm=0.3 for present method and νm=0.3 for Jasiuk’s method.
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Regular polyhedral inclusions
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Polyhedral inclusions belonging to icosidodeca family
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Variation of normalized stress field in a polyhedral inclusion with a dilatational eigenstrain (εij*0δij) along a line from the center through a vertex: (a) σL: normal stress on a plane normal to the line. (b) σT: normal stress on a plane parallel to the line. d=1 indicates the position of the vertex.
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Variation of normalized stress field in polyhedral inclusions with a uniaxial eigenstrain along x1-axis, ε11*0: (a) σL11. (b) σT: normal stress on a plane parallel to the x1-axis. d=1 indicates the position of the vertex.
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Effective stiffness of SiC-Al composite versus volume fraction of inhomogeneities f: (a) C1111c, (b) C1212c

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