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DOE ANALYSIS OF EFFECTS OF GEOMETRY AND MATERIALS ON Cu/LOW-K INTERCONNECT STRESSES

机译:几何形状与材料对Cu / Low-K互连应力的影响分析

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In 3D-IC packages, the low-k dielectrics are favored to improve many electrical characteristics in IC devices; hence the corresponding researches are being widely studied extensively. For the purpose of studying thermal-mechanical effects on Cu/low-k interconnects in the wafer, the three dimensional finite element analysis (FEA) was adopted in this paper. Several low-k dielectrics were considered in FEA, which are SiLK, BCB and SiCOH. By using FEA, the corresponding thermal-mechanical induced stresses distribution of Cu/low-A: interconnects would be obtained. Furthermore, in order to study the sensitivity information of Cu/low-A; interconnects, the method of design of experiments (DOE) as well as factorial design methodology and response surface methodology were also used. Five major parameters of geometric dimensions of copper interconnects/vias structure were selected as the design factors and the maximum average value of von Mises stress in copper interconnects/vias structure was selected as the response to be optimized. Through the DOE analysis, the optimum geometric parameters of copper interconnects/vias structure that resulted in smaller von Mises stresses in Cu/low-k interconnects could be obtained. The results also show that the geometric dimension of copper interconnects/vias had significant influence on von Mises stresses distribution. Moreover, the maximum value of von Mises stress for different copper interconnects/vias geometric dimensions could also be easily predicted by using the response surface curve and its corresponding regression model from DOE analysis.
机译:在3D-IC封装中,低k电介质有利于改善IC器件中的许多电气特性;因此,相应的研究是广泛的广泛研究。为了研究晶片中Cu / Low-K互连的热机械效应,本文采用了三维有限元分析(FEA)。在FEA中考虑了几种低k电介质,其是丝绸,BCB和SICOH。通过使用FEA,将获得Cu /低A:互连的相应热机械诱导的应力分布。此外,为了研究Cu /低a的敏感性信息;还使用互连,实验(DOE)设计方法以及因子设计方法和响应面方法。选择铜互连/通孔结构的几何尺寸的五个主要参数作为设计因子,选择铜互连/通孔结构中的von误判应力的最大平均值作为优化的响应。通过DOE分析,可以获得Cu / Low-K互连中导致较小的VON误判的铜互连/通孔结构的最佳几何参数。结果还表明,铜互连/通孔的几何尺寸对Von Mises强调分布产生了显着影响。此外,通过使用来自DOE分析的响应表面曲线及其相应的回归模型,还可以容易地预测不同铜互连/通孔几何尺寸的Von MIS互连的最大值。

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