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Efficient Pre-stressed Harmonic Analysis of RF-Microresonators by Means of Model Order Reduction 基于模型降阶的射频微谐振器的有效预应力谐波分析
Pub Date : 2006-04-24 DOI: 10.1109/ESIME.2006.1643943
L. Del Tin, R. Gaddi, A. Gnudi, E. Rudnyi, A. Greiner, J. Korvink
A simulation methodology to reduce computational time of pre-stressed harmonic analysis of radio frequency (RF) microresonators is demonstrated. The methodology is based on the application of model order reduction to a system of ordinary differential equations obtained after spatial discretization by finite element software. Model order reduction produces a low dimensional approximation of the original system and hence enables a substantial reduction of simulation time while maintaining a very small approximation error. The approach allows performing rapid device design and optimization. Once the device design and working conditions have been defined its reduced model can also be used to implement a behavioural model that can be employed in system level simulations
提出了一种减少射频微谐振器预应力谐波分析计算时间的仿真方法。该方法是将模型阶约法应用于由有限元软件进行空间离散后得到的常微分方程组。模型阶数减少产生原始系统的低维近似值,因此能够在保持非常小的近似值误差的同时大幅减少模拟时间。该方法允许执行快速的设备设计和优化。一旦确定了设备设计和工作条件,其简化模型也可用于实现可用于系统级模拟的行为模型
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引用次数: 2
Design of High Performance Surface Transverse Waver Resonators 高性能表面横波谐振器的设计
Pub Date : 2006-04-24 DOI: 10.1109/ESIME.2006.1643944
S.T. Wang, Mei-Hui Chung, Chunlei Yu
Surface transverse waves (STW) resonators exhibit substantial advantages over conventional surface acoustic wave (SAW) resonators. They demonstrate higher operating frequencies, better temperature stability, higher intrinsic material quality, and etc. In this work, two low loss and high quality factor STW resonators with center frequencies at 622MHz and 1244MHz for SONET/SDH were uniquely designed and fabricated on quartz substrate. The insertion loss of the devices was as low as 3dB, loaded quality factor was as high as 1600, and sidelobe suppression reached 30dB. The temperature behavior of these two resonators were also presented by experiment with turnover temperatures at about 50degC for 622MHz and 20degC for 1244MHz, repectively
表面横波(STW)谐振器比传统的表面声波(SAW)谐振器具有显著的优势。它们具有更高的工作频率,更好的温度稳定性,更高的内在材料质量等特点。本文在石英衬底上设计和制作了两个低损耗、高品质因数的STW谐振器,中心频率分别为622MHz和1244MHz,用于SONET/SDH。器件的插入损耗低至3dB,负载质量因子高达1600,旁瓣抑制达到30dB。在622MHz和1244MHz的切换温度分别为50℃和20℃的情况下,研究了这两种谐振器的温度行为
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引用次数: 0
Modeling New Design of Fluidic Microvalves 流体微阀的建模新设计
Pub Date : 2006-04-24 DOI: 10.1109/ESIME.2006.1643971
A. Pandolfi, M. Ortiz
We present a new design of PDMS microvalves based on bistable configuration of the separation membrane. PDMS elastomers are sensitive to several chemical solvents, which induce changes in the mechanical properties and swelling of the material. By using a soft rubber constitutive model, we numerically analyze the performance of new design of microvalves and microfluidic systems, able to reduce the magnitude of the activation pressure and the duration of the activation time
提出了一种基于分离膜双稳态结构的新型PDMS微阀设计。PDMS弹性体对几种化学溶剂很敏感,这些溶剂会引起材料机械性能的变化和膨胀。采用软橡胶本构模型,数值分析了新设计的微阀和微流体系统的性能,能够降低激活压力的大小和激活时间的持续时间
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引用次数: 4
Simulation of Impact Rupture in Polysilicon Mems 多晶硅Mems冲击破裂模拟
Pub Date : 2006-04-24 DOI: 10.1109/ESIME.2006.1643984
A. Corigliano, F. Cacchione, A. Frangi, S. Zerbini
The problem of impact rupture in polysilicon MEMS is addressed in this paper employing a numerical 2D geometrical model of the polycrystal obtained by means of a Voronoi tessellation coupled with a FE mesh. The intergranular and transgranular rupture is simulated by means of cohesive traction-jumps softening laws; accidental drop is simulated through a simplified three-level multi scale approach
本文采用Voronoi镶嵌法和有限元网格法建立了多晶硅微机电系统的二维几何模型,研究了多晶硅微机电系统的冲击破裂问题。采用黏聚牵引-跳跃软化规律模拟了沿晶和穿晶破裂过程;采用简化的三层次多尺度方法对意外跌落进行了模拟
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引用次数: 5
Combined Fracture, Delamination Risk and Fatigue Evaluation of Advanced Microelectronics Applications towards RSM/DOE Concepts 断裂、分层风险和疲劳综合评估在RSM/DOE概念中的先进微电子应用
Pub Date : 2006-04-24 DOI: 10.1109/ESIME.2006.1644042
J. Auersperg, R. Dudek, B. Michel
Microelectronic assemblies are basically compounds of several high precision materials with quite different Young's moduli and thermal expansion coefficients (CTE). Additionally, various kinds of inhomogeneity, residual stresses generated by several steps of the manufacturing process and extreme thermal environmental conditions contribute to interface delamination, chip cracking and fatigue of solder interconnects. For that reason, numerical investigations by means of nonlinear FEA together with conventional strength hypotheses are frequently used for design optimizations and sensitivity analyses. So, design studies on the basis of parameterized FE-models and DOE/RSM-approaches help to optimize electronic components at early phases of the product development process. But, this methodology typically bases on classical stress/strain strength evaluations or/and life time estimations of solder interconnects using modified Coffin-Manson approaches, whereas delamination or bulk fracture mechanisms usually remain unconsidered. By means of a representative microelectronics assembly this contribution is going to figure out and discuss ways and challenges of using numerical fatigue evaluation and fracture mechanics approaches in connection with parameterized finite element modeling based DOE/RSM-concepts. That is, the evaluation of mixed mode interface delamination phenomena utilizing the VCCT-methodology, classical strength hypotheses along with fracture mechanics approaches and modified Coffin-Manson thermal fatigue estimation of solder joints will be simultaneously applied within a multi-objective optimization towards a thermo-mechanical reliable design
微电子组件基本上是几种具有不同杨氏模量和热膨胀系数(CTE)的高精度材料的化合物。此外,各种不均匀性、制造过程中多个步骤产生的残余应力以及极端的热环境条件都是导致焊料互连界面分层、芯片开裂和疲劳的原因。因此,采用非线性有限元法和常规强度假设的数值研究方法经常用于设计优化和灵敏度分析。因此,基于参数化fe模型和DOE/ rsm方法的设计研究有助于在产品开发过程的早期阶段优化电子元件。但是,这种方法通常基于经典的应力/应变强度评估或/和使用改进的Coffin-Manson方法估计焊料互连的寿命,而分层或整体断裂机制通常未被考虑。通过一个具有代表性的微电子装配,本文将找出并讨论使用数值疲劳评估和断裂力学方法与基于DOE/ rsm概念的参数化有限元建模的方法和挑战。也就是说,利用vcct方法评估混合模式界面分层现象,经典强度假设以及断裂力学方法和改进的Coffin-Manson焊点热疲劳估计将同时应用于多目标优化,以实现热-机械可靠设计
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引用次数: 5
Drop Simulation and Stress Analysis of MEMS Devices MEMS器件跌落仿真及应力分析
Pub Date : 2006-04-24 DOI: 10.1109/ESIME.2006.1643999
T. Hauck, G. Li, A. McNeill, H. Knoll, M. Ebert, J. Bagdahn
Drop testing of micromachined accelerometers from the height of a table top to a solid surface shows that a moderate impact can result in severe damage of transducer elements. The relative high stiffness of the accelerometer device in combination with a high contact stiffness of the solid surface cause extremely high acceleration pulses at the impact. This paper presents a detailed analysis of the consequences of dropping a micromachined transducer structure to a solid surface. The analysis is composed of experimental testing and numerical simulation. Impact forces are measured for bare sensor chips and molded sensor devices by means of an instrumented drop test. Structural simulation models are generated for micromachined transducers. These models consider the dynamics of the deformation behavior of moveable elements including a travel stop and associated possible impact inside the sensor element. Maximum stresses are calculated in critical regions of the transducer. Weibull theory and statistical distributions of material strength are considered in order to predict the probability for crack initiation due to stress concentrations
微机械加速度计从桌面的高度跌落到固体表面的测试表明,适度的撞击会导致传感器元件的严重损坏。加速度计装置的相对高刚度与固体表面的高接触刚度相结合,在撞击时产生极高的加速度脉冲。本文详细分析了将微机械传感器结构跌落到固体表面的后果。分析由实验测试和数值模拟两部分组成。冲击力是通过仪器跌落测试对裸传感器芯片和模制传感器设备进行测量的。建立了微机械换能器的结构仿真模型。这些模型考虑了可移动元件的动态变形行为,包括行程停止和相关的传感器元件内部可能的冲击。在换能器的关键区域计算最大应力。考虑了威布尔理论和材料强度的统计分布,以预测应力集中引起裂纹萌生的概率
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引用次数: 24
Simulation and analysis for typical package assembly manufacture 典型封装装配制造的仿真与分析
Pub Date : 2006-04-24 DOI: 10.1109/ESIME.2006.1643949
Y. Liu, S. Irving, D. Desbiens, T. Luk
The manufacturing process for package assembly is a key to assuring the reliability and quality of the semiconductor products. There are a significant number of challenging mechanics problems in assembly manufacturing process that may lead to the failure of die, delamination and package cracking. Identifying potential root causes of quality and reliability problems during the development of an assembly process and during package design is very important; it can reduce scrap during manufacturing, save development time, as well as help insure the product meets the requirements of customers. Simulation can find the root cause quickly and accurately, leading to reduced time and cost. It enables experiments that are too costly to be done by empirical methods. Using simulation we can find the conditions that optimize cost, performance and reliability under different sets of conditions. This paper focuses on modeling and simulation for typical package assembly manufacture processes which have large impact to the product quality and reliability. A finite element framework is developed to simulate the assembly package manufacturing process utilizing the ANSYS software platform. The framework tools are utilized to maximize the robustness of the assembly process in order to eliminate reliability issues, fast run time and minimize costs in development and from manufacturing scrap.
封装组装的制造工艺是保证半导体产品可靠性和质量的关键。装配制造过程中存在大量具有挑战性的力学问题,这些问题可能导致模具失效、分层和封装开裂。在组装过程的开发和包装设计过程中,识别质量和可靠性问题的潜在根本原因是非常重要的;它可以减少生产过程中的废料,节省开发时间,确保产品符合客户的要求。仿真可以快速准确地找到问题的根本原因,从而减少时间和成本。它使那些成本太高而无法用经验方法完成的实验成为可能。通过仿真,我们可以找到在不同条件下成本、性能和可靠性最优的条件。针对对产品质量和可靠性影响较大的典型封装装配制造过程进行建模和仿真。利用ANSYS软件平台,建立了模拟装配包制造过程的有限元框架。框架工具用于最大限度地提高装配过程的稳健性,以消除可靠性问题,快速运行时间,最大限度地降低开发成本和制造废料。
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引用次数: 14
Design, Experiment and Analysis of the Solder on Rubber (SOR) structure of WLCSP WLCSP橡胶焊料(SOR)结构的设计、实验与分析
Pub Date : 2006-04-24 DOI: 10.1109/ESIME.2006.1643969
C. Yuan, G.Q. Zhang, Ching-Shun Huang, Chun-Hui Yu, Chin-Cheng Yang, Wen-Kung Yang, M. Yew, Cheng-Nan Han, K. Chiang
A novel solder on rubber (SOR) structure of the advanced wafer level chip scaled packaging (WLCSP), having the capability of releasing the deformation energy which is caused by the CTE mismatch between the silicon chip and the substrate, is proposed herein. In the SOR structure, a metallic trace and solder pad would be formed on the rubber-based polymer, and a solder is attached onto the said pad. Moreover, a delamination layer is designed and fabricated between the metallic trace and the stress buffer layer (SBL), and the metal trace is also designed as curved shape to prevent the over-stretching of the trace. By the failure of the designed delamination layer, the SOR structure could theoretically release more energy than the conventional WLCSP structure. In this paper, the design concept of the SOR structure, experimental measurement of the adhesion strength of the delamination layer and the finite element (FE) analysis of the SOR structure are discussed
提出了一种新型的硅片级芯片级封装(WLCSP)的橡胶焊料(SOR)结构,该结构能够释放由硅片与衬底之间CTE不匹配引起的变形能。在SOR结构中,金属痕迹和焊盘将在橡胶基聚合物上形成,并且焊料附着在所述焊盘上。此外,在金属迹线与应力缓冲层(SBL)之间设计并制作了分层层,并将金属迹线设计为弯曲形状,以防止迹线的过度拉伸。通过设计的分层层的破坏,理论上SOR结构可以比传统的WLCSP结构释放更多的能量。本文讨论了SOR结构的设计理念、脱层粘接强度的实验测量以及SOR结构的有限元分析
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引用次数: 0
Thermal Cycle Reliability of 3D Chip Stacked Package Using Pb-free Solder Bumps: Parameter Study by FEM Analysis 采用无铅凸点的三维芯片堆叠封装热循环可靠性:有限元分析参数研究
Pub Date : 2006-04-24 DOI: 10.1109/ESIME.2006.1644002
C. Noritake, P. Limaye, M. Gonzalez, B. Vandevelde
This study is aimed at analysing the reliability of a three-dimensional (3D) chip stacked package under cyclic thermal loading. The critical areas in the 3D chip stacked package are defined with finite element modeling (FEM) based simulations to correlate the thermal cycling experiments. The 3D chip stacked package consists of two 300mum thick Si chips vertically connected with Sn-Ag-Cu solder bump joints and then assembled on a conventional FR-4 printed circuit aboard (PCB). Two thermal cycle conditions are studied, namely: -40 to 125degC and 0 to 100degC. FEM simulations indicate that in both conditions, the critical failure location is expected to be in the chip side region of the corner solder bump of the lower chip connecting the package to the PCB. Creep strain per single thermal cycle averaged over a critical damage volume; Deltaepsivcr is used as the damage parameter. Furthermore, we have investigated the possible approaches to improve the thermo-mechanical reliability for this package. The results indicate that adding an underfill or thinning Si chips will achieve lower creep strain in solder bumps. Furthermore, the stress levels in Si and Cu via in the Si chip are low. Therefore fracture of Si chips and fatigue of Cu vias is not expected under thermal cycling conditions
本研究旨在分析三维(3D)芯片堆叠封装在循环热载荷下的可靠性。利用有限元模拟方法确定了三维芯片堆叠封装中的关键区域,并与热循环实验相关联。3D芯片堆叠封装由两个300mum厚的Si芯片与Sn-Ag-Cu凸点垂直连接,然后组装在传统的FR-4印刷电路上(PCB)。研究了两种热循环条件:-40 ~ 125℃和0 ~ 100℃。有限元模拟表明,在这两种情况下,临界失效位置预计在连接封装和PCB的下芯片的角焊点的芯片侧区域。临界损伤体积上每单热循环的平均蠕变应变;Deltaepsivcr作为损伤参数。此外,我们还研究了提高该封装的热机械可靠性的可能方法。结果表明,添加下填料或减薄硅片可以降低焊点的蠕变应变。此外,硅晶片中的Si孔和Cu孔的应力水平较低。因此,在热循环条件下,硅片的断裂和铜孔的疲劳是预料不到的
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引用次数: 18
Thermo-mechanical Design of Resilient Contact Systems for Wafer Level Packaging 晶圆级封装弹性接触系统的热机械设计
Pub Date : 2006-04-24 DOI: 10.1109/ESIME.2006.1644012
R. Dudek, H. Walter, R. Doering, B. Michel, T. Meyer, J. Zapf, H. Hedler
Wafer level packaging (WLP) technologies are cost effective packaging solutions which are used increasingly. Second level reliability, i.e. mainly the thermo-mechanical reliability during thermal cycling, is a major concern of WLP. To avoid excessive solder straining, solder balls have been replaced by resilient interconnects, which can adopt the main part of the thermal mismatch deformation. One solution combining an increased reliability on module level with advantages in processing and the capability of full wafer level test and burn-in is ELASTecreg (ELASTec hArr Elastic-bump on Silicon Technology), particularly developed for memory products. The new failure risks are mainly related to fatigue of the metallic redistribution layer (RDL). Parametric studies using finite element analyses (FEA) were performed to avoid excessive straining of the metal lines. A balance of metal straining and solder straining had to be achieved. Comparisons were made for different soft bump layouts and RDL patterns. Optimal solutions figured out by FEA were also investigated experimentally by thermal cycle tests. However, the thermo-mechanical characteristics like stress-strain behaviour and fatigue resistance of the metallic films are the most important parameters for reliability predictions. In particular, the elastic-plastic properties of thin metallic Cu and Ni films are shown to depend on features like film thickness, grain size and orientation, resulting in a thin film strength exceeding the bulk strength of the same metal by several hundred percent
晶圆级封装(WLP)技术是一种成本效益高的封装解决方案,应用越来越广泛。二级可靠性,即热循环过程中的热机械可靠性,是WLP的主要关注点。为了避免焊料过度拉伸,焊料球被弹性互连所取代,它可以采用热失配变形的主要部分。ELASTecreg (ELASTec hArr Elastic-bump on Silicon Technology)是一种结合了模块级可靠性提高、处理优势和全晶圆级测试和老化能力的解决方案,特别为存储产品开发。新的失效风险主要与金属重分布层(RDL)的疲劳有关。采用有限元分析(FEA)进行参数化研究,以避免金属线过度拉伸。必须达到金属张力和焊料张力的平衡。比较了不同的软凹凸布局和RDL模式。并通过热循环试验对有限元分析得到的最优解进行了验证。然而,热机械特性,如金属薄膜的应力应变行为和抗疲劳性能是可靠性预测的最重要参数。特别是,薄金属Cu和Ni薄膜的弹塑性性能取决于薄膜厚度、晶粒尺寸和取向等特征,从而导致薄膜强度超过相同金属的体积强度数百倍
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引用次数: 15
期刊
微纳电子与智能制造
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