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Thermal-Mechanical Stress Modeling of Copper Chip-to-Substrate Pillar Connections 铜芯片-衬底柱连接的热机械应力建模
Pub Date : 2010-09-27 DOI: 10.1109/TCAPT.2010.2050888
P. An, P. Kohl
The thermal stress induced by the coefficient of thermal expansion mismatch between a silicon integrated circuit and an organic substrate is an important reliability issue for chip-to-substrate connections. Copper pillar chip-to-substrate connections, including solder-capped and all-copper pillars, are potential replacements for solder balls with underfill in flip-chip applications. The thermal stresses associated with copper pillar connections are a function of the shape, dimensions, and materials for copper pillars and their associated chip and substrate terminations. In this paper, the design of the copper pillar, chip-to-substrate connections has been studied using finite element analysis. A 3-D, half generalized plane deformation slice model is used to study the static thermal stress at elevated temperature. The design parameters include the shape and material of the pads at the terminus of the copper pillars and the nature of supporting collar around the pillar. The modeling results show that a chip-pad helps to lower the maximum thermal stress within the silicon die. Moreover, a supporting collar around the copper pillars serves to decrease the maximum thermal stress on the silicon die. A high-modulus polymer collar around the copper pillar serves to lower the stress at the pillar-to-chip-pad junction and increase the stress within the center of the pillar. The maximum thermal stress within the die was lowered from 160 MPa to 100 MPa by increasing the elastic modulus of the collar from 1.2 GPa to 11.8 GPa.
硅集成电路与有机衬底之间的热膨胀系数失配引起的热应力是芯片与衬底连接的重要可靠性问题。铜柱芯片-衬底连接,包括焊料覆盖和全铜柱,是倒装芯片应用中带衬底填充的焊料球的潜在替代品。与铜柱连接相关的热应力是铜柱及其相关芯片和衬底端子的形状、尺寸和材料的函数。本文采用有限元分析方法对铜柱、芯片与衬底连接的设计进行了研究。采用三维半广义平面变形切片模型研究了高温下的静态热应力。设计参数包括铜柱末端垫块的形状和材料,以及铜柱周围支撑环的性质。模拟结果表明,芯片衬垫有助于降低硅片内的最大热应力。此外,铜柱周围的支撑环有助于降低硅模上的最大热应力。铜柱周围的高模量聚合物接箍可以降低柱与芯片衬垫连接处的应力,并增加柱中心的应力。通过将接箍弹性模量从1.2 GPa提高到11.8 GPa,使模具内最大热应力从160 MPa降低到100 MPa。
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引用次数: 10
Boundary-Condition-Independent Reduced-Order Modeling of Complex Electronic Packages by POD-Galerkin Methodology 基于POD-Galerkin方法的复杂电子封装边界条件无关降阶建模
Pub Date : 2010-09-27 DOI: 10.1109/TCAPT.2010.2049202
A. Raghupathy, U. Ghia, K. Ghia, William Maltz
The objective of the current work is to introduce the concept of boundary-condition-independent (BCI) reduced-order modeling (ROM) for complex electronic packages by employing the proper orthogonal decomposition (POD)-Galerkin methodology. Detailed models of complex electronic packages that consume large computational resources are used within system-level models in computational fluid dynamics (CFD)-based heat transfer analysis. If a package-level model that reduces computational resources (reduced-order model) and provides accurate results in many different flow situations (boundary-condition-independent model) can be deployed, it will accelerate the design and analysis of the end products that make use of these packages. This paper focuses on how the proper orthogonal decomposition-Galerkin methodology can be used with the finite volume method (FVM) to generate reduced-order models that are boundary-condition-independent. This method is successfully used in the present study to generate boundary-condition-independent reduced-order models for 1-D and 2-D objects for isothermal and isoflux boundary conditions. Successful implementation of the method is also shown on 2-D objects made of multiple materials and multiple heat generating sources for isoflux boundary conditions.
本文的目的是采用适当的正交分解(POD)-伽辽金方法,引入复杂电子封装的边界条件无关(BCI)降阶建模(ROM)的概念。在基于计算流体动力学(CFD)的传热分析中,使用了消耗大量计算资源的复杂电子封装的详细模型。如果可以部署减少计算资源的包级模型(降阶模型),并在许多不同的流情况下提供准确的结果(边界条件无关模型),它将加速使用这些包的最终产品的设计和分析。本文主要研究如何将适当的正交分解-伽辽金方法与有限体积法结合,生成与边界条件无关的降阶模型。该方法在本研究中成功地用于生成等温和等流边界条件下一维和二维物体的与边界条件无关的降阶模型。在等流边界条件下,对多种材料和多种热源构成的二维物体也显示了该方法的成功实现。
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引用次数: 4
Hybrid Experimental-Computational Approach for Solder/IMC Interface Shear Strength Determination in Solder Joints 锡料/IMC界面抗剪强度测定的混合实验-计算方法
Pub Date : 2010-09-27 DOI: 10.1109/TCAPT.2010.2050887
M. Tamin, F. M. Nor, W. K. Loh
Damage-based models for solder/intermetallics (IMC) interface often require the interface properties such as tensile and shear strengths. The minute size of the solder joint renders direct experimental determination of these properties impractical. This paper presents a hybrid experimental-computational approach to determine the shear strength of solder/IMC interface. Displacement-controlled ball shear tests are performed on as-reflowed and thermally-aged solder specimens. The observed sudden load drop in the load-displacement curve corresponds to the crack initiation event and the load is indicative of the shear strength of the solder/IMC interface. Finite element simulation of the ball shear test is then employed to establish the complex stress states at the interface corresponding to the onset of fracture. The finite element model consists of Sn40Pb solder, Ni3Sn4 intermetallic and Ni layers, copper pad and a rigid shear tool. Unified inelastic strain theory describes the strain rate-dependent response of the solder while other materials are assumed to behave elastically. Quasi-static ball shear test is simulated at 30°C with a prescribed displacement rate of 0.5mm/min. Results show that steep stress gradients develop in the shear tool-solder contact and solder/IMC interface regions indicating effective load transfer to the interface. The bending (normal) stress is found to be of the same order of magnitude as the maximum shear stress. Higher stress values are predicted near the leading edge of the solder/IMC interface. The equivalent shear stress condition to the triaxial stress state at the interface, represented by the absolute maximum shear stress, τmax,abs should have reached the shear strength of the interface at fracture. The resulting shear strength of Sn40Pb/Ni3Sn4 interface is determined to be 87.5 MPa.
基于损伤的焊料/金属间化合物(IMC)界面模型通常需要界面性能,如拉伸和剪切强度。焊点的微小尺寸使得这些特性的直接实验测定不切实际。本文提出了一种混合实验-计算方法来确定焊料/IMC界面的抗剪强度。位移控制球剪切试验是在回流焊和热时效焊料试样上进行的。在载荷-位移曲线中观察到的载荷突然下降与裂纹萌生事件相对应,载荷指示了钎料/IMC界面的抗剪强度。然后采用球剪试验的有限元模拟,建立了界面处与断裂起始点相对应的复杂应力状态。有限元模型由Sn40Pb焊料、Ni3Sn4金属间化合物和Ni层、铜垫和刚性剪切工具组成。统一的非弹性应变理论描述了焊料的应变率相关响应,而其他材料被认为是弹性的。模拟准静态球剪试验,温度为30℃,规定位移速率为0.5mm/min。结果表明,在剪切工具-焊料接触区域和焊料/IMC界面区域出现陡峭的应力梯度,表明载荷有效传递到界面。发现弯曲(法向)应力与最大剪应力具有相同的数量级。预计在钎料/IMC界面的前缘附近会有较高的应力值。等效剪切应力条件为界面处三轴应力状态,以绝对最大剪切应力τmax,abs表示,应达到界面断裂时的剪切强度。所得Sn40Pb/Ni3Sn4界面抗剪强度为87.5 MPa。
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引用次数: 6
The Role of Recrystallization in the Failure of SnAgCu Solder Interconnections Under Thermomechanical Loading 热载荷作用下再结晶在SnAgCu焊料互连失效中的作用
Pub Date : 2010-09-27 DOI: 10.1109/TCAPT.2010.2051268
T. Mattila, J. Kivilahti
The chip scale packaged/ball grid array component boards were thermally cycled according to the IEC 68-2-14N standard (+125°C/-45°C, 15 min dwells, 5 min ramps). The as-solidified microstructures of Sn-rich solder interconnections were composed of relatively few, typically from two to five, large tin colonies distinguished by high-angle boundaries. However, during the thermal cycling tests the as-solidified microstructures transformed gradually into more or less equiaxed grain structure by recrystallization. It is suggested that cracking of solder interconnections under thermomechanical loadings is enhanced by the recrystallization, because the network of newly formed grain boundaries extending through the interconnections provide favorable paths for cracks to propagate intergranularly. The incubation time of recrystallization was about 50% of the average cycles-to-failure. The decrease of stored energy in high-stacking fault energy metals such as Sn takes place very effective by the recovery. Therefore, microstructures recrystallize only under restricted loading conditions: dynamic loading condition where strain hardening is more effective than recovery. Therefore, the experimentally observable transformation of the microstructures by recrystallization enables us, in principle, to correlate the field use loading conditions with those produced in accelerated reliability tests. Furthermore, the recrystallization provides the means to incorporate the effects of microstructural evolution into the lifetime prediction models.
芯片级封装/球栅阵列组件板根据IEC 68-2-14N标准(+125°C/-45°C, 15分钟停留,5分钟斜坡)进行热循环。富锡焊料互连的凝固显微组织由相对较少的(通常为2 ~ 5个)大锡团组成,以高角度边界为特征。而在热循环过程中,凝固态组织通过再结晶逐渐转变为等轴组织。结果表明,在热机械载荷作用下,钎料的再结晶作用增强了钎料的裂纹,因为新形成的晶界网络穿过钎料的连接处,为裂纹在晶间扩展提供了有利的路径。再结晶的孵育时间约为平均循环到失效的50%。在高层错能金属(如锡)中,回收能非常有效地降低存储能。因此,微观组织只有在有限的加载条件下才会再结晶:在动态加载条件下,应变硬化比恢复更有效。因此,通过再结晶实验观察到的微观组织转变,原则上使我们能够将现场使用加载条件与加速可靠性试验中产生的加载条件联系起来。此外,再结晶为将显微组织演变的影响纳入寿命预测模型提供了手段。
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引用次数: 66
Analytic Model Verification of the Interfacial Friction Power in Al us w/w Bonding on Au Pads Au焊盘上Al - us - w/w键合界面摩擦功率分析模型验证
Pub Date : 2010-08-16 DOI: 10.1109/TCAPT.2010.2049847
H. Gaul, Martin Schneider-Ramelow, Herbert Reichl
To close the gap between the development of wire bonding equipment and the knowledge about the welding process itself, a friction power model is presented. The model can be used to calculate the welding quality of a wedge in dependence to the bonding and material parameters. Based on theories for Au ball/wedge bonding, the model is enhanced for us wedge/wedge (us w/w) bonding with aluminum wire. Therefore, the deformation of the wire is described by the von Mises stress, and the geometry changes due to the decreasing wedge height during bonding are taken into consideration. Furthermore, the paper introduces the minimum friction amplitude needed for any frictional cleaning of the interface and takes the precleaning during touchdown into consideration. To prove the model, four equations are highlighted to theoretically predict the shear force, the tool tip and pad amplitude, and the characteristic of the deformation during the us stage of w/w bonding. These magnitudes are measured for different bonding parameters while bonding 25 μm AlSi-1 wire to Au metalized Si test structures. The model parameters were then fit to the experimental results for all bonding parameters.
为了缩小焊线设备的发展与焊接工艺本身知识之间的差距,提出了摩擦功率模型。该模型可用于计算楔件焊接质量与焊接和材料参数的关系。在金球/楔键合理论的基础上,对楔/楔(us w/w)与铝丝键合模型进行了改进。因此,采用von Mises应力来描述金属丝的变形,并考虑了焊接过程中楔形高度减小所引起的几何变化。此外,本文还引入了界面摩擦清洗所需的最小摩擦幅值,并考虑了着陆时的预清洗。为了证明该模型的正确性,重点提出了四个方程,从理论上预测了剪切力、刀尖和焊盘振幅以及钨/钨键合过程中的变形特征。在将25 μm AlSi-1线与Au化Si测试结构结合时,测量了不同键合参数下的这些数值。然后将模型参数与实验结果进行拟合。
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引用次数: 13
Hierarchical Life Prediction Model for Actively Cooled LED-Based Luminaire 主动冷却led灯具的分层寿命预测模型
Pub Date : 2010-08-16 DOI: 10.1109/TCAPT.2010.2051034
Bong-Min Song, B. Han, A. Bar-Cohen, Rajdeep Sharma, M. Arik
The lifetime of an actively-cooled light emitting diode (LED)-based luminaire is dependent not only on the junction temperature of LEDs, but also on the reliability of active cooling devices. We propose a novel hierarchical model to assess the lifetime of an actively cooled LED-based luminaire that can provide light output equivalent to a 100 W incandescent lamp. After design considerations for LED-based luminaires with active cooling are discussed, the proposed model is described using component-level sub-physics-of-failure models. The model is implemented to predict the lifetime of a LED-based recessed downlight with synthetic jet cooling. The effects of the time-dependent performance degradation mechanisms of the active cooling device on the lifetime of the luminaire are also discussed.
基于主动冷却的发光二极管(LED)灯具的寿命不仅取决于LED的结温,还取决于主动冷却装置的可靠性。我们提出了一种新的分层模型来评估主动冷却led灯具的寿命,该灯具可以提供相当于100 W白炽灯的光输出。在讨论了基于主动冷却的led灯具的设计考虑因素后,使用组件级故障子物理模型描述了所提出的模型。该模型用于预测采用合成射流冷却的led嵌入式筒灯的寿命。讨论了主动冷却装置性能随时间的退化机制对灯具寿命的影响。
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引用次数: 33
Dynamic Modeling and Transient Performance Analysis of a LHP-MEMS Thermal Management System for Spacecraft Electronics 航天器LHP-MEMS热管理系统动态建模与瞬态性能分析
Pub Date : 2010-08-16 DOI: 10.1109/TCAPT.2010.2049358
Yun-Ze Li, Yu-ying Wang, Kok-Meng Lee
Transient performance analysis is essential for the successful design of a spacecraft thermal management system. This paper presents three dynamic models for analyzing system-level transient responses of a loop heat pipe (LHP)-micro-electromechanical-system (MEMS) thermal management system consisting of a LHP and a variable emittance radiator employing MEMS technologies. The recommended hybrid mathematical model, which is deduced from the fundamental 3-node and 4-node thermal networks, provides an efficient closed-form equation enabling direct calculation of the fluid mass flowrate in the LHP from the nodal temperatures of the thermal management system, and a set of state equations that independently compute the temperature responses of the cooled object, LHP evaporator, LHP condenser, and MEMS radiator. The temperature transients of a 50 W LHP-MEMS thermal management system, as well as the hydraulic responses inside the employed LHP, were numerically investigated and discussed in detail.
瞬态性能分析对航天器热管理系统的成功设计至关重要。本文提出了三种动态模型,用于分析采用MEMS技术的由LHP和变发射度散热器组成的回路热管-微机电系统热管理系统的系统级瞬态响应。推荐的混合数学模型是由基本的3节点和4节点热网络推导出来的,提供了一个有效的封闭形式方程,可以根据热管理系统的节点温度直接计算LHP中的流体质量流量,以及一组独立计算被冷却物体、LHP蒸发器、LHP冷凝器和MEMS散热器的温度响应的状态方程。对50 W LHP- mems热管理系统的温度瞬态以及LHP内部的液压响应进行了数值研究和详细讨论。
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引用次数: 12
Studies on Optical Consistency of White LEDs Affected by Phosphor Thickness and Concentration Using Optical Simulation 利用光学模拟研究荧光粉厚度和浓度对白光led光学一致性的影响
Pub Date : 2010-08-16 DOI: 10.1109/TCAPT.2010.2044576
Zong-yuan Liu, Sheng Liu, Kai Wang, Xiaobing Luo
Effects of variations of yttrium aluminum garnet:Ce phosphor thickness and concentration on optical consistency of produced white light-emitting diodes (LEDs) including the consistency of brightness and light colors were studied by optical simulation. Five packaging methods with different phosphor locations were compared. Optical models of LED chip and the phosphor were presented and a Monte Carlo ray-tracing simulation procedure was developed. Both color binning and brightness level were used to sort the simulated LEDs to evaluate their optical consistency. Results revealed that the optical consistency of white LEDs strongly depends on how the phosphor thickness and the concentration vary. To obtain desired color binning, conformal phosphor coating is not a favorable packaging method due to its low brightness level and poor brightness consistency by large shifts of the brightness level as the phosphor thickness and concentration varying. Planar remoter phosphor improves the brightness level and its consistency, but realization of high color consistency becomes more difficult due to its smaller variation ranges of the phosphor thickness and concentration. Hemispherical remoter phosphor can fulfill the requirements of both high color consistency and high brightness consistency due to its capability of larger variation ranges of the phosphor thickness and concentration. By applying this method with thick phosphor thickness or high phosphor concentration, this method can be a promising packaging method for the low cost production.
通过光学模拟研究了钇铝石榴石:Ce荧光粉厚度和浓度的变化对生产的白光发光二极管(led)亮度和光色一致性的影响。比较了不同荧光粉位置的5种包装方法。提出了LED芯片和荧光粉的光学模型,并开发了蒙特卡罗光线跟踪仿真程序。采用颜色分级和亮度分级两种方法对模拟led进行分类,评价其光学一致性。结果表明,白光led的光学一致性很大程度上取决于荧光粉厚度和浓度的变化。为了获得理想的色分,适形荧光粉涂层由于亮度随荧光粉厚度和浓度的变化而发生较大的变化,亮度水平低,亮度一致性差,不是一种理想的封装方法。平面远程荧光粉提高了亮度水平和一致性,但由于其荧光粉厚度和浓度的变化范围较小,实现高颜色一致性变得更加困难。半球形远端荧光粉由于具有较大的荧光粉厚度和浓度变化范围,可以同时满足高颜色一致性和高亮度一致性的要求。将该方法应用于较厚的荧光粉厚度或较高的荧光粉浓度,是一种很有前途的低成本封装方法。
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引用次数: 83
Nonlinear Compact Thermal Model of Power Semiconductor Devices 功率半导体器件的非线性紧凑热模型
Pub Date : 2010-08-16 DOI: 10.1109/TCAPT.2010.2052052
K. Górecki, J. Zarebski
In this paper, the nonlinear compact thermal model of power semiconductor devices based on the Cauer network is proposed. The analytical description of the model and the method of the model parameter estimation are presented. The accuracy and usefulness of the model is verified experimentally for the selected metal-oxide-semiconductor (MOS) power transistor at its various cooling conditions.
本文提出了基于Cauer网络的功率半导体器件非线性紧凑热模型。给出了模型的解析描述和模型参数估计方法。对所选金属氧化物半导体(MOS)功率晶体管在不同冷却条件下的实验结果验证了该模型的准确性和实用性。
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引用次数: 58
Parametric Study of Joint Height for a Medium-Voltage Planar Package 中压平面封装接头高度参数化研究
Pub Date : 2010-08-16 DOI: 10.1109/TCAPT.2010.2046639
Xiao Cao, Tao Wang, K. Ngo, G. Lu
Due to the thin structure used in planar packaging, the electric field intensity within the encapsulation is high, leading to degradation of the dielectric performance. To resolve this issue, a metal posts interconnected parallel plate structure (MPIPPS) is used to reduce the high electric field concentration in the power module. However, the high bonding joint in MPIPPS causes large thermo-mechanical stress within the solder layers. This paper proposes a methodology to optimize the joint height based on a trade-off between the thermo-mechanical performance and dielectric performance of the power module. The impact of the joint height on thermo-mechanical stress and dielectric performance of the module is investigated quantitatively using ANSYS and Maxwell simulations. The results show that using a 0.4 mm joint height and Nusil R-2188 encapsulation, the power module can achieve 3 kV breakdown voltage. Experimental results agree with the simulation results.
由于平面封装采用薄结构,封装内电场强度高,导致介电性能下降。为了解决这一问题,采用金属柱互连并联板结构(MPIPPS)来降低功率模块内的高电场浓度。然而,在MPIPPS中,高键合的接头会在焊料层内产生较大的热机械应力。本文提出了一种基于功率模块的热力学性能和介电性能之间的权衡来优化接头高度的方法。利用ANSYS和Maxwell模拟,定量研究了接头高度对模块热机械应力和介电性能的影响。结果表明,采用0.4 mm的接头高度和Nusil R-2188封装,该电源模块可达到3 kV击穿电压。实验结果与仿真结果吻合。
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引用次数: 18
期刊
IEEE Transactions on Components and Packaging Technologies
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