Title

Finite Element Method for Predicting Equilibrium Shapes of Solder Joints

Document Type

Article

Language

eng

Format of Original

6 p.

Publication Date

6-1993

Publisher

American Society of Mechanical Engineers

Source Publication

Journal of Electronic Packaging

Source ISSN

1043-7398

Original Item ID

doi: 10.1115/1.2909309

Abstract

This paper discusses the development and application of a finite element method for determining the equilibrium shapes of solder joints which are formed during a surface mount reflow process. The potential energy governing the joint formation problem is developed in the form of integrals over the joint surface, which is discretized with the use of finite elements. The spatial variables which define the shape of the surface are expressed in a parametric form involving products of interpolation (blending) functions and element nodal coordinates. The nodal coordinates are determined by employing the minimum potential energy theorem. The method described in this paper is very general and can be employed for those problems involving the formation of three dimensional joints with complex shapes. It is well suited for problems in which the boundary region is not known a priori (e.g., “infinite tinning” problems). Moreover, it enables the user to determine the shape of the joint in parametric form which facilitates meshing for subsequent finite element stress and thermal analyses.

Comments

Journal of Electronic Packaging, Vol. 115, No. 2 (June 1993): 141-146. DOI.