Parametric Finite Element Method for Predicting Shapes of Three-Dimensional Solder Joints

[+] Author and Article Information
N. J. Nigro, F. J. Zhou, A. F. Elkouh, R. A. Fournelle

Dept. of Mechanical Engineering, Marquette University, Milwaukee, WI 53233

S. M. Heinrich

Dept. of Civil & Environmental Engineering, Marquette University, Milwaukee, WI 53233

P. S. Lee

Advanced Technology Development, Allen-Bradley Company, A Rockwell International Company, Milwaukee, WI 53204

J. Electron. Packag 118(3), 142-147 (Sep 01, 1996) (6 pages) doi:10.1115/1.2792144 History: Received January 01, 1996; Revised April 01, 1996; Online November 06, 2007


This paper discusses the application of the parametric finite element method for predicting shapes of three-dimensional solder joints. With this method, the surface of the joint is meshed (discretized) with finite elements. The spatial variables (x, y, z) are expanded over each element in terms of products of interpolation (blending) functions expressed in parametric form and element nodal coordinates. The element nodal coordinates which are not constrained by the boundary conditions are determined by minimizing the potential energy function which governs the joint formation problem. This method has been employed successfully in the past to predict the shapes of two dimensional fillet and axisymmetric joints. In this paper, the method is extended to three dimensional problems involving sessile drops formed on a rectangular pad and solder columns formed between two horizontal planes and subject to a vertical force.

Copyright © 1996 by The American Society of Mechanical Engineers
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