Computationally Efficient Fracture Analysis of Electronic Packages through Decomposition

Abstract

In the present paper we describe and demonstrate a computationally efficient technique for analyzing fracture mechanics problems in mixed linear-nonlinear systems. The technique combines the methodology of Rybicki and Kanninen for calculation of the energy release rate in fracture processes with a decomposition based analysis procedure recently proposed by Subbarayan and co-workers. The methodology will enable quick design decisions during the package development stages without significant loss of accuracy. The developed procedure is demonstrated on a hypothetical 5 × 5 array package. It is shown that on this representative package nearly 30% time savings (or a 150% speed-up) can be acheived in estimating the energy release rate at an accuracy loss of only 6.2%. Prior research has shown that the analysis time is nearly independent of package size, indicating unbounded speed-ups for larger package sizes.