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TECHNICAL PAPERS

A Model of Crack Nucleation in Layered Electronic Assemblies Under Thermal Cycling

[+] Author and Article Information
A. Chandra, G. Fu

Department of Mechanical Engineering, Iowa State University, Ames, IA 50011

Y. Huang

Department of Mechanical and Industrial Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801

Z. Q. Jiang

Thermawave Inc., 1250 Reliance Way, Fremont, CA 94539

K. X. Hu

MCC, 3500 West Balcones Center Dr., Austin, TX 78759

J. Electron. Packag 122(3), 220-226 (Nov 05, 1999) (7 pages) doi:10.1115/1.1286100 History: Received June 21, 1999; Revised November 05, 1999
Copyright © 2000 by ASME
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Figures

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Schematic diagram of a three-layered electronic assembly with a localized damage band, where b is the average spacing between microscale damage, and D is the average size of microscale damage
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Initial damage distribution profile
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Damage distribution, ω, in the band for several normalized number of cycles, βbn/2−1thermal)nN, where the average initial damage level ωaverage=0.01, excess of damage in the band ωmax−ωaverage=0.09, normalized size of damage cluster 2λ=1, power n=2, and b is the average spacing between microcracks. The number of cycles when ω reaches one is the critical number of cycles for macroscopic crack nucleation, Nnucleation.
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Variation of critical number of cycles for crack nucleation (ω=1 @ x=0) in example 1, where the average initial damage level ωaverage=0.01, excess of damage in the band ωmax−ωaverage=0.09, normalized size of damage cluster 2λ=1, power n=2
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Variation of critical number of cycles for crack nucleation (ω=1 @ x=0) in example 2, where the average initial damage level ωaverage=0.01, excess of damage in the band ωmax−ωaverage=0.09, normalized size of damage cluster 2λ=1, power n=2
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Damage evolution in example 1 @ x=0 for different ΔT, where the average initial damage level ωaverage=0.01, excess of damage in the band ωmax−ωaverage=0.09, normalized size of damage cluster 2λ=1, power n=2, and β=2.1×10−8/(MPa2 cycle)
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The distribution of normalized additional stretch across the band for several normalized number of cycles, βbn/2−1thermal)nN, where the average initial damage level ωaverage=0.01, excess of damage in the band ωmax−ωaverage=0.09, normalized size of damage cluster 2λ=1, power n=2, and b is the average spacing between microcracks
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The distribution of normalized additional sliding across the band for several normalized number of cycles, βbn/2−1thermal)nN, where the average initial damage level ωaverage=0.01, excess of damage in the band ωmax−ωaverage=0.09, normalized size of damage cluster 2λ=1, power n=2, and b is the average spacing between microcracks
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The normalized critical number of cycles for crack nucleation, βbn/2−1thermal)nN, vs. the normalized size of damage cluster, 2λ, for the average initial damage level ωaverage=0.01, excess of damage in the band ωmax−ωaverage=0.09, normalized size of damage cluster 2λ=1, power n=2
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The normalized critical number of cycles for crack nucleation, βbn/2−1thermal)nN, vs. the excess of damage in the band, ωmax−ωaverage, for a small damage cluster (2λ=1) as well as a large one (2λ=10), where the average initial damage level ωaverage=0.01, and power n=2

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