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2019 20th International Conference on Thermal, Mechanical and Multi-Physics Simulation and Experiments in Microelectronics and Microsystems (EuroSimE)最新文献

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Modelling and Simulation of Glass Frit Bonding of Silicon Wafers 硅片玻璃熔块键合的建模与仿真
Seyed Amir Fouad Farshchi Yazdi, M. Garavaglia, A. Ghisi, A. Corigliano
In the thermo-compressive, silicon-to-silicon wafer bonding process, due to the residual stresses, the wafer warps, thus affecting the structural integrity and the performance of the devices. The aim of this numerical research is to i) get insights into the sources of the residual stresses, and ii) to minimize the residual stresses and the final warpage of the silicon wafers in glass frit bonding. The complete thermo-mechanical bonding process is simulated with a commercial finite element code to evaluate the sources of the residual stresses in the bonded wafers. The glass frit layer is modeled with a bilinear traction-separation interface law to reduce the computational costs. To validate the model, numerical results have been compared with experimental measurements. The overall deformed convex shape of the bonded wafers and the numerical results are in agreement with wafers produced in the bonding chamber. To reduce the wafer warpage, a shape optimization by means of reducing the thickness of the silicon wafer at the center is proposed. The results of the 3D simulation regarding the reduced-thickness wafers show up to a 36% reduction in the final warpage in comparison with the plane silicon wafers.
在热压缩、硅-硅晶圆键合过程中,由于残余应力的存在,导致晶圆翘曲,从而影响器件的结构完整性和性能。本数值研究的目的是i)深入了解残余应力的来源,ii)最小化残余应力和玻璃熔块粘合过程中硅片的最终翘曲。利用商业有限元程序对整个热-机械键合过程进行了模拟,以评估键合晶片中残余应力的来源。为了降低计算成本,采用双线性牵引-分离界面律对玻璃熔块层进行建模。为了验证该模型,将数值结果与实验结果进行了比较。结合后晶圆的整体变形凸形及数值计算结果与结合室生产的晶圆基本一致。为了减小晶圆翘曲,提出了一种减小晶圆中心厚度的形状优化方法。3D模拟结果表明,与平面硅片相比,厚度减小硅片的最终翘曲量减少了36%。
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引用次数: 2
Simulation Methodology for Active Semiconductor Devices in MEMS MEMS中有源半导体器件的仿真方法
Mike Schwarz, V. Senz, A. Dannenberg, W. Feiler, F. Heuck, T. Friedrich, C. Sorger, J. Franz
Nowadays, the demand for a MEMS Development/Design Kit (MDK) is even more in the focus than ever. In order to achieve a high quality and cost effectiveness in automotive and consumer applications, an advanced design flow for the MEMS (Micro Electro Mechanical Systems) element is required to fulfill these criteria. In this paper, a methodology and design flow is presented to ensure an integration of active semiconductor devices and components into micromechanical sensors. The methodology considers cross coupling effects and limitations of the electrical active device and mechanical MEMS. An example with mechanical constraints is presented and discussed and finally the results of the simulation methodology are compared with fabricated devices in terms of accuracy and capability of the design flow.
如今,对MEMS开发/设计套件(MDK)的需求比以往任何时候都更加受关注。为了在汽车和消费应用中实现高质量和高成本效益,需要MEMS(微机电系统)元件的先进设计流程来满足这些标准。本文提出了一种方法和设计流程,以确保有源半导体器件和组件集成到微机械传感器中。该方法考虑了电有源器件和机械MEMS的交叉耦合效应和局限性。最后给出了一个具有机械约束的实例,并将仿真方法的结果与制造装置在设计流程的精度和能力方面进行了比较。
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引用次数: 4
Modelling of display-compatible piezoelectric micromachined ultrasonic transducers for haptic feedback 用于触觉反馈的显示兼容压电微机械超声换能器的建模
A. Halbach, P. Gijsenbergh, Y. Jeong, M. Billen, C. Chare, H. Gao, G. Torri, D. Cheyns, X. Rottenberg, V. Rochus
In this paper, a physically representative electric equivalent lumped model of a fabricated 600 um diameter polymer-based piezoelectric micromachined ultrasonic transducer (PMUT) is detailed. All parameter values in the lumped model are identified based on electrical impedance measurements in air and in vacuum. The model is then used to predict the emitted ultrasound pressure, the radiated acoustic power and the overall power efficiency. The predictions are validated with experimental data and finite element simulations. Finally, the model is used to estimate the minimum PMUT array size required to reach the expected haptic sensing threshold at a given focus point.
本文建立了具有物理代表性的600 um直径聚合物基压电微机械超声换能器(PMUT)电等效集总模型。集总模型中的所有参数值都是基于空气和真空中的电阻抗测量来确定的。利用该模型对发射声压、辐射声功率和总功率效率进行了预测。通过实验数据和有限元模拟验证了预测结果。最后,该模型用于估计在给定焦点处达到预期触觉传感阈值所需的最小PMUT阵列尺寸。
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引用次数: 2
Plastic deformation and failure modes of moulding compounds during indentation loading and their importance for the quantitative characterisation of adhesion 压痕加载过程中塑型化合物的塑性变形和破坏模式及其对粘接定量表征的重要性
N. Pflügler, G. M. Reuther, M. Goroll, R. Pufall, B. Wunderle
Different test methods are used within the microelectronics community to quantify adhesion of material combinations interacting inside the package. Button Shear Tests or Bending Tests are popular test methods for studying moulding compound adhesion on various surfaces. The measured data obtained from these tests is a superposition of the characteristics of the interface, the experimental setup, and the test vehicle's geometry and materials used. Compressive contact, for example, between shear or bending tool and the sample might lead to plastic deformation. Nanoindentation on bulk moulding compound strips showed that plastic deformation under compressive loading does occur. Low indentation forces lead to a levelling of the rough surface. For higher forces residual imprints after indentation can be as deep as $15 mu mathrm {m}$. Test vehicles are very often only a few millimetres in size. Thus, sub-micron accuracy for displacement measurements becomes a necessity when extracting energies from force-displacement curves. Plastic deformation at the shear contact then needs to be subtracted from measurement data in order to achieve accurate adhesion results.
微电子界使用不同的测试方法来量化在封装内部相互作用的材料组合的粘附性。按钮剪切试验或弯曲试验是研究模塑复合材料在各种表面上粘附性的常用试验方法。从这些测试中获得的测量数据是界面特性、实验装置、测试车辆的几何形状和使用的材料的叠加。例如,剪切或弯曲工具与样品之间的压缩接触可能导致塑性变形。体模复合条上的纳米压痕表明,在压缩载荷作用下,复合条确实发生了塑性变形。低压痕力导致粗糙表面的平整。对于更高的力,压痕后的残余压痕可深至$15 mu mathm {m}$。测试车辆的尺寸通常只有几毫米。因此,当从力-位移曲线中提取能量时,亚微米精度的位移测量成为必要。然后需要从测量数据中减去剪切接触处的塑性变形,以获得准确的粘附结果。
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引用次数: 0
Numerical Simulation of Top Metal Thickness on IMD Stress due to Probing 金属顶厚对探测IMD应力的数值模拟
R. Sethu, Lars Bergmann, M. Erstling, P. Lammert, A. Fahr, Hansika Jayawardana
Harsh wafer level probing has a higher chance of causing inter metal dielectric (IMD) cracking compared to wire bonding. This work explores the stress induced by probing by utilizing dynamic Finite Element Analysis (FEA) structural mechanics simulation. A thicker bond pad (METTHK with thickness of 3000 nm) can reduce the IMD stress caused by harsh wafer level probing.
与金属丝粘合相比,苛刻的晶圆级探测有更高的机会导致金属间介电(IMD)开裂。本文利用动态有限元分析(FEA)进行结构力学模拟,探讨了探测引起的应力。较厚的键合垫(厚度为3000 nm的METTHK)可以减少由苛刻的晶圆级探测引起的IMD应力。
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引用次数: 3
Advanced Mixed-Mode Bending Test: Influence of the Surface Topography on the Fracture Behavior of an EMC to Copper Lead Frame Bi-Material Interface 高级混合模弯曲试验:表面形貌对电磁兼容-铜引线框架双材料界面断裂行为的影响
M. Schulz, R. Mrossko, B. Wunderle, M. A. Ras
In this paper, a hypothesis is further investigated which states the dependence of fracture toughness on the orientation of the crack opening to the topography of the surface of the lead frame which forms the interface with the EMC. Additionally, the size effect of the specimen width is investigated as well.A test series using the Advanced Mixed Mode Bending method was performed using eight samples. The samples are bi-material beams which are extracted from a mold map. The sample width was varied as well as the orientation of the beam according to the topography of the lead frame. The samples are destructively tested and the measured sensor and image data are then used in a finite element analysis. A new algorithm is introduced which utilizes a digital image correlation software to extract the displacement fields from the recorded images of the beam flank. The simulation results in form of the critical energy release rate $G_{c}$ versus the corresponding mode mixity $psi$ of the eight samples are than analyzed to test the hypothesis of the orientation and the effect of the sample width as alias of the size effect.
本文进一步研究了一个假设,该假设表明断裂韧性与裂纹张开方向的关系取决于与电磁兼容形成界面的引线框架表面的形貌。此外,还研究了试样宽度的尺寸效应。采用先进混合模态弯曲法对8个试件进行了一系列试验。样品是从模具图中提取的双材料梁。根据引线框架的地形变化试样的宽度和梁的方向。对样品进行破坏性测试,然后将测量到的传感器和图像数据用于有限元分析。介绍了一种利用数字图像相关软件从记录的光束侧面图像中提取位移场的新算法。分析了8个样品的临界能量释放率$G_{c}$与相应模态混合率$psi$的模拟结果,验证了取向和样品宽度作为尺寸效应的别名的假设。
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引用次数: 1
Solder interconnect degradation with irregular joint shape 焊料互连退化,接头形状不规则
X.J. Zhao, H. Vries, R. Engelen, P. Watté, G. Hees
Solderjoints of LEDs mounted by SMD reflow on Cu wire assemblies can exhibit irregular shapes that are very different from the interconnects of components on normal printed circuit boards. In order to understand the effect of the irregularities on the solder interconnect reliability and the intermetallic layer growth, the solder degradation was studied by setting up a series of accelerating tests and finite element modelling. In addition, the sensitivity of design parameters on the aging behavior was analyzed. It turns out that the cyclic fatigue of the solder interconnects due to thermal expansion mismatch is not as critical as the one from assemblies on traditional circuit boards. However, the decreasing interconnect strength due to the embrittlement of the intermetallic compound (IMC) is more critical and some optimization must be considered in the design.
通过SMD回流焊安装在铜线组件上的led焊点可以呈现不规则的形状,这与普通印刷电路板上组件的互连非常不同。为了了解不规则性对焊料互连可靠性和金属间层生长的影响,通过建立一系列加速试验和有限元模型,研究了焊料的退化。此外,还分析了设计参数对合金老化性能的敏感性。结果表明,由于热膨胀失配引起的焊料互连的循环疲劳并不像传统电路板上的组件那样严重。然而,由于金属间化合物(IMC)的脆化而导致的互连强度下降是更为关键的,在设计时必须考虑一些优化措施。
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引用次数: 1
Development of a Modular Test Setup for Reliability Testing under Harsh Environment Conditions 一种用于恶劣环境下可靠性测试的模块化测试装置的研制
L. Wambera, K. Meier, R. Höhne, Björn Böhme, Christian Götze, J. Paul, M. Wieland, K. Bock
In this study, a universal modular test setup for a variety of high density package concepts with ball pitches smaller than 0.4 mm is presented. It enables bias loading and online monitoring of multiple test specimens during accelerated environment stress testing according to AEC grade 1 conditions. Humidity is a critical factor when reducing ball pitch and introducing innovative casting compounds (e. g. epoxy resins) for electronic packaging. Therefore, its influence has to be investigated and a reliable test setup is required. The focus of this study is on the overall performance of the test setup under test conditions for storage at temperature and humidity. Experiments during board development were performed, including tests on material behaviour and surface effects due to narrow spacing between neighbouring traces, pads, or grid dimensions. The functionality of the developed test setup is demonstrated by electrical measurements at specimen level and setup system level before, during, and after temperature humidity storage. Potential failure modes at die, package, and board level can be investigated with the presented test setup.
在这项研究中,提出了一个通用的模块化测试装置,用于各种高密度封装概念,球间距小于0.4 mm。它可以根据AEC 1级条件在加速环境应力测试中进行偏置加载和多个试样的在线监测。湿度是降低球间距和引入创新铸造化合物(如环氧树脂)用于电子封装的关键因素。因此,必须研究其影响,并需要可靠的测试设置。本研究的重点是在温度和湿度的测试条件下,测试装置的整体性能。在电路板开发过程中进行了实验,包括对材料性能和由于邻近迹线、衬垫或网格尺寸之间的狭窄间距而产生的表面效应的测试。开发的测试装置的功能通过在温度湿度存储之前,期间和之后在样品水平和设置系统水平的电气测量来证明。在晶片、封装和电路板层面的潜在失效模式可以用所提出的测试装置进行调查。
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引用次数: 3
Analytical modelling of MEMS Z-axis comb-drive accelerometer MEMS z轴梳状驱动加速度计的分析建模
C. Maj, M. Szermer, P. Zając, Piotr Amrozik
One of the most crucial step in designing of MEMS devices is modelling. It allows estimating the performance of a device without its fabrication and it provides fast optimization process. Very often it is desired to perform a coupled electromechanical simulation when a device integrates sensor and read-out circuit. A classical method uses FEM simulation. Although it is very precise, it requires building 3-D model, solving complex equations and does not provide electrical simulation of IC circuit. Therefore, there are other commercial solutions available on the market that may be coupled with CADENCE environment. In this paper, we propose to use an analytical model that can be exported to CADENCE as a black-box cell described in Verilog-A language. As an example, we take MEMS Z-axis comb-drive accelerometer whose mechanical part behave like an torsional harmonic oscillator. We include also the influence of fringing field. The model is compared with MEMS+ software in terms of electrical parameters that are inputs for electrical simulation of read-out circuit.
MEMS器件设计中最关键的步骤之一是建模。它允许在没有制造的情况下估计设备的性能,并提供快速优化过程。当器件集成传感器和读出电路时,通常需要执行耦合机电仿真。经典的方法是有限元模拟。虽然它非常精确,但需要建立三维模型,求解复杂的方程,并且不提供IC电路的电气仿真。因此,市场上还有其他商业解决方案可以与CADENCE环境相结合。在本文中,我们建议使用一种可以导出到CADENCE的分析模型作为Verilog-A语言描述的黑盒单元。以MEMS z轴梳状驱动加速度计为例,其机械部分表现为扭转谐振子。我们还考虑了边缘场的影响。该模型与MEMS+软件的电气参数进行了比较,这些参数是读出电路电气仿真的输入。
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引用次数: 3
Failure Identification in LED packages by Transient Thermal Analysis and Calibrated FE Models 基于瞬态热分析和校正有限元模型的LED封装失效识别
A. Hanss, E. Liu, Muhammad Rizwan Abdullah, G. Elger
Transient thermal analysis (TTA) by experimental thermal impedance $(Z_{th})$ measurements and data simulation by transient finite element (FE) simulation are suited to investigate the thermal path and mechanical integrity of electronic devices. After calibration, the FE model can be used for failure mode analysis. In this paper first a FE model for blue Flip Chip (FC) LEDs is set-up and calibrated to the experimental data. To reduce the ambiguity of the parameter identification within the calibration process caused by the relative large number of model parameters in a transient FE simulation several sets of experimental data are measured and simulated: the LED assembled on different substrates, i.e. an AlN ceramic and a standard Al-IMS board, and similar LEDs, i.e. same LED type but different sized light emitting area (1 mm2 and 0.5 mm2). The model is calibrated in the time domain using b(z), i.e. the logarithmic time derived of $Z_{th}(z= {ln(t))}$. The least square residuum of simulated and experimental data is minimized. Different approaches of fitting are compared, i.e. fitting $b(z), Z_{th}(t)$ and the structure function, resulting in b(z) being a good option for the LED under investigation. The calibration is obtained by an optimizer in an automated workflow, i.e. using ANSYS coupled with optiSLang.After calibration the model is used to identify failures during accelerated stress test. An automatic TTA tester is used to detect changes of the Zth(t) during accelerated lifetime testing, e.g. temperature shock testing.By implementing failure into the calibrated model, e.g. cracks in the solder joint, delamination of the EPI from the redistribution layer and degradation of the dielectric layer of the Al-IMS, the calibrated model is fitted to the b(z) curves of the aged samples. The strength of the approach is demonstrated by extracting the quantitative changes of the physical parameters from the fitted model in an automatic way.
采用实验热阻抗(Z_{th})测量的瞬态热分析(TTA)和瞬态有限元(FE)模拟的数据模拟适合于研究电子器件的热路径和机械完整性。校正后的有限元模型可用于失效模式分析。本文首先建立了蓝色倒装芯片(FC) led的有限元模型,并根据实验数据进行了校正。为了减少在瞬态有限元模拟中由于模型参数相对较多而导致的校准过程中参数识别的模糊性,我们测量和模拟了几组实验数据:组装在不同衬底上的LED,即AlN陶瓷和标准Al-IMS板,以及类似的LED,即相同类型的LED但不同尺寸的发光面积(1 mm2和0.5 mm2)。使用b(z)在时域中校准模型,即$Z_{th}(z= {ln(t))}}$的对数时间。使模拟数据和实验数据的最小二乘残差最小。比较了不同的拟合方法,即拟合$b(z), Z_{th}(t)$和结构函数,从而得出b(z)是所研究LED的良好选择。校准由自动化工作流程中的优化器获得,即使用ANSYS与opti俚语相结合。校正后的模型用于识别加速应力试验中的失效。在加速寿命测试(如温度冲击测试)中,使用自动TTA测试仪检测Zth(t)的变化。通过在校正模型中加入焊点裂纹、EPI从重分布层脱落以及Al-IMS介电层退化等失效,校正模型拟合了时效样品的b(z)曲线。通过自动提取拟合模型中物理参数的定量变化,证明了该方法的有效性。
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引用次数: 6
期刊
2019 20th International Conference on Thermal, Mechanical and Multi-Physics Simulation and Experiments in Microelectronics and Microsystems (EuroSimE)
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