When the flip-chip packaging has been moving to the lead-free, fine-pitch and high-current-density packaging, the flip chip with copper-pillar-bump interconnects can provide a solution to this need. However, this package during the thermal cycling test (TCT) still suffers the reliability problems such as delamination at the Cu low-k materials or at the interface between the UBM (under bump metallurgy) and aluminum pad.The purpose of this study is to measure and calculate thermallyinduced deformations and stresses of flip-chip ball grid array (BGA) packages with a copper-pillar-bump interconnected chip inside. In the experiments, full-field Twyman-Green and moiré interferometries are used to measure out-of-plane deformations on the chip surfaces of the package during a heating process and inplane deformations on the cross-section surface of the package under a specific thermal loading, respectively. A finite element method (FEM) and Suhir's die-attachment assembly theory being validated by experimental data are employed to analyze the thermally-induced deformations and stresses of the package to gain insight into their mechanics. The experimental results show the zero-warpage temperature (or zero-stress temperatures) for this package is 115 due to the Tg of the underfill material rather than its curing temperature. It is also found that the thermal deformations of the package calculated by FEM and theory are well consistent with Twyman-Green and moiré results. Furthermore, the local stresses around the critical copper-pillar bump joint region (especially at aluminum pad and low-k layer) where the possible failures occur during the TCT are investigated in detail through the validated FEM model. The results indicate that die/substrate thickness ratio would have significant effect on the stresses at aluminum pad and low-k layer, as well as package warpage and die stress.
The rapid progress of wireless technologies has made the information of real-time traffic available to vehicles. In this paper, the authors propose a dynamic path planning algorithm for vehicle navigation system which can adapt to changeable traffic and replan a better path with good travelling time for drivers within a reasonable computation time for large-scale road networks. Based on the hierarchical model of road networks, we use source-directed A* to save the path planning time, to create a good travelling time path, and to construct a backup path tree. When a traffic condition of a link in the driving path becomes worse, the replanning of a new partial path for a certain part of the backup path tree reflected by the link is calculated. The system has been tested on Taiwan road network. Through experiment results, the system presents a good efficiency for planning/replanning a path in terms of planning time and travelling time.
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