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TECHNICAL PAPERS

Interfacial Stress Analysis and Fracture of a Bi-Material Strip With a Heterogeneous Underfill

[+] Author and Article Information
Ji Eun Park

Lockheed Martin Aeronautics Company, 86 South Cobb Dr., Dept. 6E5M Zone 0987, Marietta, GA 30063-0915

Iwona Jasiuk

Georgia Institute of Technology, The G. W. W. School of Mechanical Engineering, Atlanta, GA 30332-0405

Aleksander Zubelewicz

Los Alamos National Laboratory, MST-8, MS G755, Los Alamos, NM 87545

J. Electron. Packag 125(3), 400-413 (Sep 17, 2003) (14 pages) doi:10.1115/1.1602480 History: Received September 01, 2002; Online September 17, 2003
Copyright © 2003 by ASME
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References

Figures

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Bi-material strip with heterogeneous underfill
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Arrangements of particles. (a) One particle near the interface and edge. (b) Two particles near the interface and edge; one particle moved along the horizontal axis. (c) Two particles moved vertically away from the interface. (d) Three particles near the interface and edge.
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Deformed shape of the bi-material strip with displacement magnification factor of 13.3
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Interfacial stresses for the case of underfill with no particles (on the horizontal axis, 0 indicates 90% of the chip length from the centerline and 1 the edge of the chip). (a) Interfacial normal stress; (b) interfacial shear stress.
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Interfacial stresses for the case of one particle in the underfill near the interface and edge (on the horizontal axis, 0 indicates 90% of the chip length from the centerline and 1 the edge of the chip). (a) Interfacial normal stress; (b) interfacial shear stress.
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Maximum interfacial normal stresses due to one particle moved vertically down away from the interface [Fig. 2(a)]; distance is taken from the particle’s center to the interface
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Maximum interfacial normal stresses versus the distance between two particles’ centers [see Fig. 2(b)]; one particle is moved horizontally
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Two random particle configurations. (a) Random case 30; (b) Random case 7.
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Random particle arrangements. (a) Interfacial normal stress. (b) Interfacial shear stress. (c) J integral.
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Mean of interfacial normal stress versus number of realizations
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Standard deviation of interfacial normal stress versus number of realizations
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Mean of interfacial shear stress versus number of realizations
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Standard deviation of interfacial shear stress versus number of realizations
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Mean of the J integral versus number of realizations
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Standard deviation of the J integral versus number of realizations
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Probability density function chart of random particle distributions. (a) Interfacial normal stress. (b) Interfacial shear stress. (c) J integral.
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Probability paper chart of random particle distributions. (a) Interfacial normal stress. (b) Interfacial shear stress. (c) J integral.

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