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Research Papers

Advanced Thermal-Moisture Analogy Scheme for Anisothermal Moisture Diffusion Problem

[+] Author and Article Information
Changsoo Jang1

Mechanical Engineering, State University of New York at Binghamton, Binghamton, NY 13902-6000csjang@gmail.com

Seungbae Park

Mechanical Engineering, State University of New York at Binghamton, Binghamton, NY 13902-6000

Bongtae Han, Samson Yoon

Mechanical Engineering, University of Maryland, College Park, MD 20742

Only ABAQUS provides the general mass diffusion analysis capabilities but a user defined subroutine has to be developed to implement the combined analysis (1).

1

Corresponding author.

J. Electron. Packag 130(1), 011004 (Jan 31, 2008) (8 pages) doi:10.1115/1.2837521 History: Received December 25, 2006; Revised August 21, 2007; Published January 31, 2008

We propose an advanced thermal-moisture analogy scheme to cope with the inherent limitations of the existing analogy schemes. The new scheme is based on the experimentally observed unique hygroscopic behavior of polymeric materials used in microelectronics; i.e., the saturated concentration is only a function of relative humidity regardless of temperature. A new analogy formulation based on the modified solubility is presented and the scheme is implemented to investigate its accuracy and applicability. The results from a simple case study corroborate that the advanced scheme can be used effectively for package assemblies subjected to general anisothermal loading conditions.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

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Figure 1

Saturated concentrations as a function of RH

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Figure 2

Calculated solubility as a function of temperature

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Figure 3

Measured saturated concentration with respect to RH

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Figure 4

Simulated geometries and boundary condition for the transient case (∇T=0 but Ṫ≠0)

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Figure 5

Moisture concentrations in a bimaterial specimen subjected to the transient loading condition: (a) t=1800s and (b) t=3600s

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Figure 6

Simulated geometries and boundary condition for the anisothermal case (∇T≠0 and Ṫ≠0)

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Figure 7

Temperature distribution in a bimaterial specimen subjected to the anisothermal loading condition

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Figure 8

Moisture concentrations in a bimaterial specimen subjected to the anisothermal loading condition: (a) t=1800s and (b) t=3600s

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Figure 9

General solution process of the anisothermal problem using ANSYS

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