Research Papers

Display Light Guide Swelling Due to Moisture Absorption

[+] Author and Article Information
A. K. Cousins

1 Microsoft Way,
Redmond, WA 98052
e-mail: ancousi@microsoft.com

G. H. Thiel

1 Microsoft Way,
Redmond, WA 98052
e-mail: gethiel@microsoft.com

E. Wolak

1 Microsoft Way,
Redmond, WA 98052
e-mail: edwolak@microsoft.com

G. Limaye

1 Microsoft Way,
Redmond, WA 98052
e-mail: gelimaye@microsoft.com

S. Tiku

1 Microsoft Way,
Redmond, WA 98052
e-mail: stiku@microsoft.com

1Corresponding author.

Contributed by the Electronic and Photonic Packaging Division of ASME for publication in the JOURNAL OF ELECTRONIC PACKAGING. Manuscript received July 25, 2017; final manuscript received September 19, 2017; published online October 5, 2017. Assoc. Editor: Yi-Shao Lai.

J. Electron. Packag 139(4), 041006 (Oct 05, 2017) (7 pages) Paper No: EP-17-1070; doi: 10.1115/1.4037971 History: Received July 25, 2017; Revised September 19, 2017

Display light guides, commonly constructed of a polymer such as polymethyl methacrylate (PMMA), are known to be susceptible to moisture absorption, swelling, and warping in the field when exposed to elevated ambient humidity levels. This work presents a quantitative theoretical framework for calculating water absorption over time. In addition, a simple theory is laid out, which connects mass absorption of water to linear expansion of the polymer. Finally, a simple quantitative analysis of out-of-plane warping of the light guide is presented. Experimental data from laboratory PMMA coupons and two different sizes of large displays are used to establish the values of key parameters of the theoretical model. General purpose results for any size of PMMA display are presented. The approach can easily be adapted to light guides fabricated using other polymers.

Copyright © 2017 by ASME
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Ishiwatari, Y. , 2009, “ Optical Diffuser Plates,” LCD Backlights, 1st ed., Wiley, Chichester, UK, pp. 251–256. [CrossRef]
Hamouda, A. M. S. , 2002, “ The Influence of Humidity on the Deformation and Fracture Behaviour of PMMA,” J. Mater. Process. Technol., 124(1–2), pp. 238–243. [CrossRef]
ASTM, 2010, “ Standard Test Method for Water Absorption of Plastics,” ASTM International, West Conshohocken, PA, Standard No. D570 - 98(2010)e1 https://www.astm.org/Standards/D570.htm.
Davis, E. , and Elabd, Y. , 2013, “ Prediction of Water Solubility in Glassy Polymers Using Nonequilibrium Thermodynamics,” Ind. Eng. Chem. Res., 52(36), pp. 12865–12875. [CrossRef]
Elabd, Y. , 2014, “ Microsoft Report,” Microsoft Corp., Redmond, WA, Report No. 051314.
Evonik Industries, 2008, “ Report to Microsoft,” Microsoft Corp., Redmond, WA.
Turner, D. , 1982, “ Polymethyl Methacrylate Plus Water: Sorption Kinetics and Volumetric Changes,” Polymer, 23(2), pp. 197–202. [CrossRef]
Crank, J. , 1975, The Mathematics of Diffusion, 2nd ed., Clarendon Press, Oxford, UK.
Barrie, J. , and Machin, D. , 1971, “ Diffusion and Association of Water in Some Polyalkylmethacrylates—Part 1: Equilibrium Sorption and Steady State Permeation,” Trans. Faraday Soc., 67, pp. 244–256. [CrossRef]
Rodriguez, O. , Fornasiero, F. , Arce, A. , Radke, C. , and Prausnitz, J. , 2003, “ Solubilities and Diffusivities of Water Vapor in Poly(Methylmethacrylate), Poly(2hydroxyethylmethacrylate), Poly(n-Vinyl-2-Pyrrolidone) and Poly (Acrylonitrile),” Polymer, 44(20), pp. 6323–6333. [CrossRef]
Roussis, P. , 1983, “ Diffusion of Water Vapour in Polymethyl Methacrylate,” J. Membr. Sci., 15(2), pp. 141–155. [CrossRef]
Braden, M. , 1964, “ The Absorption of Water by Acrylic Resins and Other Materials,” J. Prosthet. Dent., 14(12), pp. 307–312. [CrossRef]
Timoshenko, S. , and Gere, J. , 1989, Theory of Elastic Stability, 2nd ed., Dover, New York.


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Fig. 1

Progressive light guide swelling and deformation due to prolonged humidity exposure. Buckling occurs due to the confinement by the display.

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Fig. 2

Permanently warped light guide after moisture absorption

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Fig. 3

Light guide bowing after moisture absorption. The upper curve is for a light guide not constrained by an LCD; the lower curve is for a light guide constrained by an LCD.

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Fig. 4

Light guide broken by moisture-induced swelling

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Fig. 6

PMMA water absorption capacity as a function of humidity and temperature

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Fig. 7

Comparison of water absorption curves from various sources

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Fig. 8

Linear strain versus fractional mass gain due to water absorption

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Fig. 9

Universal curve for water absorption over time

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Fig. 10

Transient water absorption—experiment versus theory, based on experimental data from large-display applications. A diffusion coefficient of 1.25 × 10−8 cm2/s was found to best match the data.

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Fig. 11

Light guide swelling and deformation




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