Defect Green’s Function of Multiple Point-Like Inhomogeneities in a Multilayered Anisotropic Elastic Solid

[+] Author and Article Information
B. Yang

Department of Mechanical and Aerospace Engineering, Florida Institute of Technology, Melbourne, FL 32901e-mail: boyang@fit.edu

J. Appl. Mech 71(5), 672-676 (Nov 09, 2004) (5 pages) doi:10.1115/1.1781179 History: Received August 28, 2003; Revised April 15, 2004; Online November 09, 2004
Copyright © 2004 by ASME
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(a) A multilayered solid embedded with multiple inhomogeneities; (b) a “clean” multilayered solid as reference to (a). Both structures are subjected to a unit point force along one of the axes at X . A global coordinate system is established with the x3-axis being perpendicular to the top surface and pointing inward the substrate.
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A Si/Ge superlattice with (a) 3 cubic Ge-QDs and (b) 11×11 semispherical QDs
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Variation of (nonzero) normalized strain components along the line, (x1,x2=0,x3=0) on the top surface induced by the three buried cubic QDs as shown in Fig. 2(a). The solid lines indicate the present solution of point-like QDs, and the dashed lines with symbols indicate the BE solution of finite-size QDs with the size as indicated.
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Contour plot of the normalized hydrostatic strain εkk on the top surface in the case of 11×11 array of semispherical QDs as shown in Fig. 2(b). The magnitude of the contours can be read from the next Fig. 5.
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Diagonal variation of the normalized hydrostatic strain εkk from (−3,−3) to (3,3) in Fig. 4, showing the magnitude and maximum and minimum locations




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