A Nested Finite Element Methodology (NFEM) for Stress Analysis of Electronic Products—Part I: Theory and Formulation

Author:

Darbha Krishna1,Dasgupta Abhijit1

Affiliation:

1. CALCE Electronic Products and Systems Center, University of Maryland, College Park, MD 20742

Abstract

In this paper, the authors present a stress analysis technique based on a novel nested finite element methodology (NFEM). The NFEM is similar in concept to an earlier proposed multi-domain Rayleigh-Ritz methodology (Ling, S., 1997, “A Multi-Domain Rayleigh-Ritz Method for Thermomechanical Stress Analysis of Surface Mount Interconnects in Electronic Assemblies,” Ph.D. dissertation, Univ., of Maryland), that is based on a nested multi-field displacement assumption. The nested multi-field displacement technique may be viewed as a localized cascading of the p-type refinement in conventional finite element analysis. The concept and formulation of NFEM are presented in this paper while the application of NFEM to analyze the viscoplastic stress-state in two popular surface mount electronic interconnect styles is presented in Part II of this series. To illustrate the concept of NFEM, the formulation and results are provided for a one-dimensional viscoplastic example.

Publisher

ASME International

Subject

Electrical and Electronic Engineering,Computer Science Applications,Mechanics of Materials,Electronic, Optical and Magnetic Materials

Reference10 articles.

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3. Zienkiewicz, O. C., De, J. P., Gago, S. R., and Kelly, D. W., 1983, “The hierarchical concept in finite element analysis,” Comput. Struct., 16, Nos. 1–4, pp. 53–65.

4. Ling, S., and Dasgupta, A., 1996, “A nonlinear multi-domain stress analysis method for surface-mount solder joints,” ASME J. Electron. Packag., 118, June.

5. Ling, S., and Dasgupta, A., 1996, “A nonlinear multi-domain thermomechanical stress analysis method for surface-mount solder joints: Part II: viscoplastic analysis,” Proceedings of 8th Annual Mechanics of Surface Mount Assemblies Symposium at the ASME International Mechanical Engineering Congress and Exposition, Atlanta, GA.

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