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

Authors

Nicholas J. Nigro, Marquette UniversityFollow
F. J. Zhou, Marquette University
Stephen M. Heinrich, Marquette UniversityFollow
A. F. Elkouh, Marquette University
Raymond Fournelle, Marquette UniversityFollow
Ping S. Lee, Rockwell AutomationFollow

Document Type

Article

Language

eng

Format of Original

6 p.

Publication Date

9-1996

Publisher

American Society of Mechanical Engineers

Source Publication

Journal of Electronic Packaging

Source ISSN

1043-7398

Original Item ID

doi: 10.1115/1.2792144

Abstract

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.

Comments

Journal of Electronic Packaging, Vol. 118, No. 3 (September 1996): 142-147. DOI.

Recommended Citation

Nigro, Nicholas J.; Zhou, F. J.; Heinrich, Stephen M.; Elkouh, A. F.; Fournelle, Raymond; and Lee, Ping S., "Parametric Finite Element Method for Predicting Shapes of Three-Dimensional Solder Joints" (1996). Civil and Environmental Engineering Faculty Research and Publications. 86.
https://epublications.marquette.edu/civengin_fac/86