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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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Numerical and experimental study of a novel body-mounted piezoelectric energy harvester based on synchronized multi-magnet excitation 基于同步多磁体激励的新型体载压电能量采集器的数值与实验研究
Arūnas Kleiva, R. Dauksevicius
This paper presents results of finite element analysis and testing of a novel frequency up-converting multi-magnet piezoelectric vibration energy harvester, which advantageously exploits multiple magnetic excitation events per single cycle of out-of-plane plucking together with amplification of driving magnet speed in order to provide sufficiently stable generation of nearly constant high average power when subjected to real-life human body movements. It is based on a cantilevered bimorph that is magnetically deflected and released (plucked) by a couple of driving magnets that are accelerated by means of magnets placed on inertial rotor. It was demonstrated that the proposed device operating in a synchronized multi-magnet excitation regime outperforms its conventional single-magnet counterparts, thereby constituting a viable vibration energy harvesting concept that addresses key challenges associated with time-varying ultralow frequency biomechanical excitations.
本文介绍了一种新型变频多磁体压电振动能量采集器的有限元分析和测试结果,该采集器在单周期的面外拔动中充分利用了多个磁激励事件,并提高了驱动磁体的速度,从而在实际人体运动时能够足够稳定地产生接近恒定的高平均功率。它是基于一个悬臂式双晶片,它是磁性偏转和释放(弹拨)的一对驱动磁铁,加速的手段是放置在惯性转子上的磁铁。研究表明,该装置在同步多磁体激励下运行,优于传统的单磁体激励,从而构成了一个可行的振动能量收集概念,解决了时变超低频生物力学激励相关的关键挑战。
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引用次数: 0
Simulation of Self-Heating of Printed Interconnects for Thermal Design 用于热设计的印刷互连自热模拟
D. Bülz, Petra Streit, R. Forke, T. Otto
Self-heating of electric components is an important design criterion for electronic circuits. Using additive manufacturing processes like low temperature printing of interconnects to replace conventional cables, is beneficial in terms of customizability and flexibility. However, the materials used to print interconnects often have lower conductivities than conventional bulk-metal leads. This causes an increase of temperature for interconnects with equal cross-section due to the higher power density. Using a heat spreading substrate can be advantageous for cooling the interconnects and therefore saving material which otherwise would be needed to compensate the higher resistivity. In this work, an analytical model is used to calculate the temperature of printed interconnects based on their cross-section profile and the free space on the substrate. The model allows to vary the cross-section geometry by adding up multiple profiles in order to emulate interconnects printed with multiple dispense cycles on top or next to each other. Therefore, it can be used to find suitable print configurations for different power requirements. The results are verified by comparison with FEM simulations and experimentally obtained data.
电子元件的自热是电子电路设计的一项重要标准。使用增材制造工艺,如低温打印互连来取代传统电缆,在可定制性和灵活性方面是有益的。然而,用于打印互连的材料通常比传统的大块金属引线具有更低的导电性。由于较高的功率密度,这导致具有等横截面的互连温度升高。使用散热基板可以有利于冷却互连,从而节省材料,否则将需要补偿更高的电阻率。在这项工作中,使用一个解析模型来计算印刷互连的温度,该模型基于它们的横截面轮廓和衬底上的自由空间。该模型允许通过增加多个剖面来改变横截面几何形状,以模拟在彼此顶部或旁边打印多个分配周期的互连。因此,它可以用来找到适合不同功率要求的打印配置。通过与有限元模拟和实验数据的比较,验证了计算结果。
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引用次数: 0
Numerical estimation of local load during manufacturing process in high temperature PCB resin based on viscoelastic material modeling 基于粘弹性材料建模的高温PCB树脂制造过程局部载荷数值估计
M. Schmidt, Y. Maniar, R. Ratchev, A. Kabakchiev, M. Guyenot, H. Walter, M. Schneider-Ramelow
In the field of electric and autonomous driving applications, there is currently an increasing demand for high-performance PCB materials, which can meet the requirements of high durability and long-term stability. For example, high temperature PCB base materials with an increased glass transition temperature offer new possibilities and facilitate new fields of usage. However, to the best of our knowledge, their thermomechanical properties on the local scale of glass fiber and resin matrix regions are not widely reported yet. Important investigations on the deformation behavior and the load limits still have to be performed. The lack of a solid experimental data basis hampers the development of numerical simulation methods as a valuable tool for reliability prognoses. In this work, we employ a novel material characterization procedure focused on the local mechanical properties of the PCB resin matrix to support the material modeling for numerical simulations. The goal of the current work is to assess the capabilities of state of the art FE-assisted methods to describe the local material properties in critical locations of a PCB stack. Numerical modeling is performed on mechanical tensile tests as well as on an idealized PCB module subjected to a standard manufacturing profile. We investigate two strategies for modeling a PCB stack, namely as a homogenized block, and as a discrete layer-by-layer stack of filled resin matrix and glass fiber reinforced resin layers. The local loads in a PCB assembly resulting from the simulation of a manufacturing thermal profile are compared to the loads observed in tensile tests. We discuss the current capabilities and limitations in the applied FE-methodology, and we derive necessary improvements of the material modeling and the geometrical discretization approaches for PCB modules.
在电动和自动驾驶应用领域,目前对高性能PCB材料的需求越来越大,这种材料可以满足高耐用性和长期稳定性的要求。例如,提高玻璃化转变温度的高温PCB基材提供了新的可能性,并促进了新的使用领域。然而,据我们所知,它们在玻璃纤维和树脂基体区域局部尺度上的热机械性能尚未被广泛报道。对变形行为和荷载极限的重要研究仍有待进行。缺乏坚实的实验数据基础阻碍了数值模拟方法作为可靠性预测的宝贵工具的发展。在这项工作中,我们采用了一种新颖的材料表征方法,专注于PCB树脂基体的局部机械性能,以支持数值模拟的材料建模。当前工作的目标是评估最先进的fe辅助方法的能力,以描述PCB堆叠关键位置的局部材料特性。数值模拟是在机械拉伸测试以及理想的PCB模块上进行的标准制造配置文件。我们研究了两种建模PCB堆栈的策略,即作为均匀块,以及作为填充树脂基体和玻璃纤维增强树脂层的离散逐层堆栈。由制造热剖面模拟产生的PCB组件中的局部负载与拉伸试验中观察到的负载进行了比较。我们讨论了当前应用有限元方法的能力和局限性,并对PCB模块的材料建模和几何离散化方法进行了必要的改进。
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引用次数: 2
Application of Artificial and recurrent neural network on the steady-state and transient finite element modeling 人工和递归神经网络在稳态和瞬态有限元建模中的应用
Cadmus C A Yuan, Yu-Jun Hong, Chang-Chi Lee, K. Chiang, J. Huang
Artificial intelligence techniques have been widely applied in many domains, such as image /sound/text recognition, manufacturing monitoring, etc. One of the requirements for an artificial intelligence modeling is massive datasets. However, it is often limited knowns in the beginning of the design phase.This paper studied the methods and the influence of building an artificial intelligence model from a limited number of inputs. The application of the artificial neural network (ANN) and the recurrent neural network (RNN) has been applied to the nonlinear mechanical FE, steady-state thermal FE and transient FE model, and a rather simple neural network model and accuracy/application of these models has been reported.
人工智能技术已广泛应用于图像/声音/文本识别、制造监控等领域。人工智能建模的需求之一是海量的数据集。然而,在设计阶段的开始,它通常是有限的。本文研究了在有限输入条件下建立人工智能模型的方法及其影响。人工神经网络(ANN)和递归神经网络(RNN)已被应用于非线性力学有限元、稳态热有限元和瞬态有限元模型,并报道了一个相当简单的神经网络模型和这些模型的精度/应用。
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引用次数: 3
Layout optimization of CMOS Interconnects for Heating, Cooling and Improved Stress Distribution 用于加热、冷却和改善应力分布的CMOS互连布局优化
V. Hein, K. Weide-Zaage, Xi Yang
The reliability of CMOS circuits is influenced by local inhomogeneities in current density, temperature and mechanical stress. Mechanical stress caused by processing and post-processing sources like material mismatch, temperature steps and extrinsic sources like bonding, 3D integration and extended operating conditions becomes more and more relevant the for reliability. It can affect the life time performance of interconnects as well as the function of active devices like stress sensitive transistors.First simulations which support the development work for optimized interconnect layouts as features to improve the reliability of a circuit were prepared. The evaluations started with the heater development of self-heating test structures for higher metal layers for accelerated reliability tests. It continued with the development of a high robust metal stack. The simulations and the tests at heaters and high robust metallization test structures demonstrated the advantages of such a layout improvement.The simulations of the distribution of the temperature and the mechanical stress illustrates the important parameters and their interactions.The paper presents new ANSYS® -simulations on some exemplary heater layout variants in the highly robust metallization design. The scientific questions were the suitability and the benefits of such a heater layout for heating, cooling and stress distribution in CMOS circuits. Different heater-test line models have been analysed by ANSYS® -simulations. The variants of the models were forced or no forced current in heater and/or test line and the kind of metal layer of heater connection. The current density, temperature, their gradients, the hydrostatic stress, the Von Mises stress and the mass flux divergences have been analysed.Such simulations can be utilized to improve parts of circuits like chip corners, sensitive transistors, circuits on GaN-substrate, with TSVs or applications with 3D integration. The local temperature and stress management can be improved by the special metallization layout and the improvement can be supported by simulation data.
CMOS电路的可靠性受到电流密度、温度和机械应力等局部不均匀性的影响。材料错配、温度阶跃等加工和后处理源以及粘接、三维集成和扩展操作条件等外在源引起的机械应力与可靠性的关系越来越密切。它会影响互连的寿命性能,也会影响应力敏感晶体管等有源器件的功能。第一次模拟支持优化互连布局的开发工作,以提高电路的可靠性。评估从用于加速可靠性试验的高金属层自加热试验结构的加热器开发开始。它继续发展了一个高坚固的金属堆栈。在加热器和高鲁棒金属化试验结构上的模拟和试验表明了这种布局改进的优越性。通过对温度和机械应力分布的模拟,说明了重要参数及其相互作用。本文对高鲁棒化设计中一些典型的加热器布局变化进行了新的ANSYS®模拟。科学问题是这种加热器布局对CMOS电路的加热、冷却和应力分布的适用性和好处。利用ANSYS®-simulation对不同的加热器测试线模型进行了分析。型号的变化是加热器和/或测试线的强制或无强制电流以及加热器连接的金属层的种类。分析了电流密度、温度及其梯度、流体静力应力、冯米塞斯应力和质量通量散度。这种模拟可用于改进芯片角、敏感晶体管、gan衬底电路、tsv或3D集成应用等部分电路。特殊的金属化布置可以改善局部温度和应力管理,模拟数据可以为这种改善提供支持。
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引用次数: 0
Modeling temperature dependent chemical reaction of intermetallic compound growth 模拟金属间化合物生长的温度依赖性化学反应
A. G. Morozov, A. Freidin, Wolfgang H. Müller, A. Semencha, M. Tribunskiy
This paper is concerned with the modeling of the formation and growth of InterMetallic Compound (IMC) layers in tin (Sn) based solder bumps on copper (Cu) interconnects within a microelectronic component subjected to a thermo-cycle test. IMC formation is the result of diffusion and chemical reaction processes. There is a change in shape and volume between the products and reactants, and, consequently, in addition to temperature the growth is influenced by the resulting residual stresses and strains. Strictly speaking IMC formation is based on multi-component diffusion in solids, including vacancies as a migrating species leading to Kirkendall voiding, and in addition to mechanical stress it can be enhanced by electric currents. It should also be noted that if the bump is used as an electric connection in a microelectronic component additional mechanical stress will result from the thermal mismatch of the various materials used to fabricate this component. In this paper we will use a formerly developed methodology to study IMC growth in solder bumps that are sheared due to the different thermal expansion coefficients of the adjacent material structures. The change of temperature is chosen such that it mimics the temperature range, ramp and hold times typically encountered in a temperature cycle test. The methodology for computing the growth of the reaction front is based on a kinetic equation. It was derived in former work from an expression for the chemical affinity tensor. It allows to incorporate the influence of stresses and strains on the chemical reaction rate and the normal component of the reaction front velocity in a rational manner. Due to the complexity of the geometry the involved solution procedures must be numerical ones. Consequently, the Finite Element (FE) technique will be applied during the solution.
本文通过热循环试验研究了微电子元件中铜互连上锡(Sn)基焊点中金属间化合物(IMC)层的形成和生长。IMC的形成是扩散和化学反应过程的结果。生成物和反应物之间存在形状和体积的变化,因此,除了温度之外,生长还受所产生的残余应力和应变的影响。严格来说,IMC的形成是基于固体中的多组分扩散,包括空位作为导致Kirkendall空洞的迁移物种,除了机械应力外,它还可以通过电流增强。还应注意的是,如果凸起用作微电子元件的电气连接,则用于制造该元件的各种材料的热不匹配将导致额外的机械应力。在本文中,我们将使用以前开发的方法来研究由于相邻材料结构的不同热膨胀系数而被剪切的焊料凸起中的IMC生长。选择温度的变化,使其模拟温度循环测试中通常遇到的温度范围、斜坡和保持时间。计算反应锋生长的方法是以动力学方程为基础的。它是在以前的工作中由化学亲和张量的表达式导出的。它允许以合理的方式纳入应力和应变对化学反应速率和反应前速度的法向分量的影响。由于几何结构的复杂性,所涉及的求解过程必须是数值过程。因此,有限元技术将在求解过程中得到应用。
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引用次数: 5
Automated Method Using Finite Element Simulation to Identify Microvia Stacks at Risk of Separation in Complex PCB Designs 利用有限元模拟自动识别复杂PCB设计中存在分离风险的微通孔堆
Kourosh M. Kalayeh, Natalie Hernandez, C. Hillman, N. Blattau
The electronic industry recently experienced a sudden increase in microvia failures in printed circuit boards during the reflow process. The failures occurred specifically on triple-stack microvias placed over a buried via. The failure mechanisms included separation of the microvia from the capture pad and ductile tearing of the copper flanges. The sudden onset of these failures was due to the electronics industry’s over-reliance on design rules to avoid PCB issues. The flaw in design rules is their reliance on lessons learned from previous designs and the assumption that new designs are sufficiently similar to older designs. This pervasive failure mode across multiple industries and designs is evidence that a new, more robust technique based on reliability physics is required for future, high density electronic hardware designs. We propose a technique that takes advantage of finite element modeling and industry research to predict the reliability and manufacturability of microvias.
电子工业最近在回流过程中经历了印刷电路板微通孔故障的突然增加。故障主要发生在埋置通孔上方的三叠微通孔。失效机制包括微孔与捕获垫的分离和铜法兰的韧性撕裂。这些故障的突然发生是由于电子行业过度依赖设计规则来避免PCB问题。设计规则的缺陷在于它们依赖于从以前的设计中吸取的经验教训,以及新设计与旧设计足够相似的假设。这种在多个行业和设计中普遍存在的故障模式表明,未来的高密度电子硬件设计需要一种基于可靠性物理的更强大的新技术。我们提出了一种利用有限元建模和工业研究相结合的技术来预测微通孔的可靠性和可制造性。
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引用次数: 1
Optical micro-machined ultrasound sensors with a silicon photonic resonator in a buckled acoustical membrane 带硅光子谐振腔的屈曲声膜光学微机械超声传感器
W. Westerveld, S. M. Leinders, P. van Neer, H. Urbach, N. Jong, M. Verweij, X. Rottenberg, V. Rochus
Future applications of ultrasonography in (bio-)medical imaging require ultrasound sensor matrices with small sensitive elements. Promising are opto-mechanical ultrasound sensors (OMUS) based on a silicon photonic ring resonator embedded in a silicon-dioxide acoustical membrane. This work presents new OMUS modelling: acousto-mechanical non-linear FEM and photonic circuit equations. We show that initial wafer stress needs to be considered in the design: the acoustical resonance frequency changes considerably and OMUS sensitivity differs for up-or downwards buckled membranes. Simulated acoustical resonance frequency agrees well with measurements, assuming realistic SOI wafer stress. Measured sensitivity showed large device-to-device variation and simulations agree within this order of magnitude. We conclude that careful modeling of stress is necessary (b) for the design of robust and sensitive sensors.
超声成像在(生物)医学成像中的未来应用需要具有小敏感元件的超声传感器矩阵。基于嵌入二氧化硅声学膜的硅光子环谐振器的光机械超声传感器(OMUS)很有前途。本文提出了新的OMUS模型:声力非线性有限元和光子电路方程。我们表明,初始晶圆应力需要在设计中考虑:声共振频率变化很大,OMUS灵敏度不同于向上或向下弯曲的膜。在假设实际SOI晶圆应力的情况下,模拟声共振频率与测量值吻合良好。测量的灵敏度显示出很大的器件间差异,模拟结果也在这个数量级内。我们得出结论,仔细的应力建模是必要的(b)设计稳健和敏感的传感器。
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引用次数: 4
期刊
2019 20th International Conference on Thermal, Mechanical and Multi-Physics Simulation and Experiments in Microelectronics and Microsystems (EuroSimE)
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