三層三次元異材接合体角部の熱残留応力の強さ : 中間層厚さの影響

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The effect of the thickness of interlayer on stress singularity fields is evaluated using a boundary element method and eigen value analysis based on a finite element method. A model for analysis is a three-dimensional three-layered joint consisting of silicon, resin and FR4.5. All stress components are expressed as spherical coordinate systems in which origins are located at the vertex of each interface. They are derived from the transformation of coordinate system; from x^-, y^- and z^-coordinates to γ^-, θ- and φ-coordinates. Here, θ is the angle from z-axis, φ is the angle from side surface and γ is the distance from the stress singularity point. The intensity and the stress distribution of stress singular field at the vertex are investigated for various values of interlayer thickness. Comparing the order of stress singularity in two interfaces of silicon-resin and FR4.5-resin, the value of the order of singularity in the silicon-resin interface is larger than that in the FR4.5-resin interface. Furthermore, the intensity of singularity in the γ-direction at θ=90° and φ=45° is large as the thickness of interlayer increases. However, the thickness of interlayer influences scarcely on the intensity of singularity for stress singularity line. Therefore, the three-dimensional intensity of stress singularity newly defined at the vertex of each interface increases with increasing the thickness of interlayer.
社団法人日本機械学会の論文
2009-09-25

三層三次元異材接合体角部の熱残留応力の強さ : 中間層厚さの影響

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