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Phase field modeling of current density distribution and effective electrical conductivity in complex microstructures
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10.1063/1.4813392
/content/aip/journal/apl/103/2/10.1063/1.4813392
http://aip.metastore.ingenta.com/content/aip/journal/apl/103/2/10.1063/1.4813392
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

(a) Heterogeneous electrical conductivity in Sn polycrystal. Color contours represent conductivity component of individual grains in horizontal direction (-axis) along applied electric field. Pair of perpendicular arrows in each grain indicates its orientation (longer and shorter arrows represent -axis and -axis, respectively). Simulated steady-state electrical conduction: (b) current density vector field visualized by streamlines and current density magnitude visualized by color contours; (c) spatial charge density distribution visualized by color contours and heterogeneous electric field visualized by vectors.

Image of FIG. 2.
FIG. 2.

Simulated steady-state electrical conduction in flip-chip joint structure (a) without void, (b) with a small void, and (c) with a propagated large void: current density magnitude and direction in solder bump visualized, respectively, by grayscale contours and streamlines, and Joule heating intensity in interconnects visualized by color contours. White region inside solder bump represents void.

Image of FIG. 3.
FIG. 3.

Simulated electrical conductivity evolution in two-phase material system during martensitic transformation. Effective electrical conductivity as function of transformation time with representative martensitic microstructures at stage A, B, C, D.

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/content/aip/journal/apl/103/2/10.1063/1.4813392
2013-07-11
2014-04-24
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Phase field modeling of current density distribution and effective electrical conductivity in complex microstructures
http://aip.metastore.ingenta.com/content/aip/journal/apl/103/2/10.1063/1.4813392
10.1063/1.4813392
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