Towards model-based engineering of underfill materials: CTE modeling

Vo, H.T.; Todd, M.; Shi, Frank G.; Shapiro, Andrew A.; Edwards, Maurice E.

doi:10.1016/s0026-2692(00)00152-x

Cited by 72 publications

(48 citation statements)

References 9 publications

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“…36 Curve fits to the experimental CTE data with Shi's model are also shown in Figure 3. For the 40-nm fumed silica nanocomposites, K 0 5 0.58 and K 1 5 24.4, and for the 12-nm nanocomposites, K 0 5 1.1 and K 1 5 21.4.…”

Section: Thermal Expansionmentioning

confidence: 98%

Thermal expansion of fumed silica/cyanate ester nanocomposites

Goertzen

Kessler

2008

J of Applied Polymer Sci

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ABSTRACT:The thermal expansion behavior of a cyanate ester matrix reinforced by fumed silica nanoparticles with average primary particle diameters of 12 and 40 nm was investigated with thermomechanical analysis. All nanocomposites showed decreased coefficients of thermal expansion (CTEs) in comparison with the neat bisphenol E cyanate ester resin, but the 12-nm fumed silica nanocomposites had lower CTEs than the 40-nm nanocomposites for equal volume fractions. The largest decrease in CTE was 27.0% for 20.7 vol % 40-nm fumed silica. When the data were compared to applicable theory, the best fit of the data was given by Schapery's upper limit and Shi's model. Estimates of the interphase volume fraction and effective thickness surrounding the nanoparticles were made with the results of Shi's model, and the results showed that the interphase volume fraction was larger for the 12-nm fumed silica nanocomposites, given an equal fraction of silica. The glass-transition temperature of the nanocomposites from thermomechanical analysis varied only slightly with the volume fraction.

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Section: Thermal Expansionmentioning

confidence: 98%

Thermal expansion of fumed silica/cyanate ester nanocomposites

Goertzen

Kessler

2008

J of Applied Polymer Sci

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“…Kerner's model assumes Complex interaction between polymeric matrix and the filler is usually influenced by several factors, including size, shape and type of the filler, the chemical structure of resin and the cross-link conditions, as well as, the interface volume. Recently, Vo et al [53] proposed a model for CTE of polymeric composites, taking into account of the effect of interphase volume surrounding the filler particles embedded in a polymer matrix. The interphase volume (V int ) is derived as:…”

Section: Coefficient Of Linear Thermal Expansionmentioning

confidence: 99%

Effective thermal conductivity and coefficient of linear thermal expansion of high-density polyethylene — fly ash composites

2011

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As the disposal of fly ash (FA) poses a serious problem in terms of land use and potential environmental pollution, there exists a global interest for its utilization. Utilization of fly ash as filler material in polymer composites is considered important from both economic and commercial point of view. In this communication, the effective thermal conductivity and coefficient of thermal expansion (CTE) of composites synthesized with fly ash filler embedded in high-density polyethylene (HDPE) matrix is investigated. Incorporation of fly ash in HDPE enhances both the thermal stability and the effective thermal conductivity of the composites. CTE, however, significantly decreases as the FA content increases in HDPE. Effective thermal conductivity for HDPE containing 70-volume fraction (%) fly ash becomes almost twice than that for unfilled HDPE. Results on both the effective thermal conductivity and CTE of HDPE/FA composites have been discussed in light of various theoretical models. Our analysis indicates formation of conductive channels of FA particulates in HDPE, which causes rapid enhancement in the effective thermal conductivity of the HDPE/FA composites. We also confirm the importance of the role of the interphase volume and the strength of the polymer -filler interactions to successfully predict the CTE of HDPE/FA composites.

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“…This is due to the fact that it does not take into account the mechanical constraint created on the matrix due to fillers. However, Turner model takes into account the mechanical stress on adjacent phases in the composites [36][37][38]. This can be expressed as…”

Section: Coefficient Of Thermal Expansion (Cte)mentioning

confidence: 99%