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两椭球形湿颗粒间液桥的形状和气液界面能量模拟 被引量:1
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作者 王文哲 姚桂焕 《过程工程学报》 北大核心 2025年第4期332-340,共9页
湿颗粒物质广泛地存在于自然以及生产生活中。针对两垂直平行放置的椭球形湿颗粒相对旋转过程中形成的中心液桥,采用Surface Evolver软件对其形状展开研究,分析了接触角、旋转角度、重力等参数的影响。结果表明,液桥形状是一个非圆弧假... 湿颗粒物质广泛地存在于自然以及生产生活中。针对两垂直平行放置的椭球形湿颗粒相对旋转过程中形成的中心液桥,采用Surface Evolver软件对其形状展开研究,分析了接触角、旋转角度、重力等参数的影响。结果表明,液桥形状是一个非圆弧假设的旋转对称体,接触角变化会改变液桥形状,旋转角度、重力均使得液桥中心垂直截面轮廓线从椭圆线向双曲线转变,重力使得上下颗粒上的接触线发生移动,而颗粒旋转会导致接触线收缩;液桥气液界面面积与颗粒相对角度呈正弦函数关系。对重力下维持液桥所需的最小体积进行了研究,表明其与接触角呈二次函数关系,并随着液体密度增大而增大,而且接触角90°左右时维持液桥所需体积最小。 展开更多
关键词 液桥 椭球形颗粒 气液界面形状 surface evolver 旋转
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PBGA焊点形态对疲劳寿命的影响 被引量:3
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作者 张威 刘坤鹏 +3 位作者 张沄渲 于沐瀛 王尚 田艳红 《电子与封装》 2024年第8期40-46,共7页
通过Surface Evolver软件预测了塑料球栅阵列(PBGA)焊点形态,将焊点形态结果导入Ansys软件中进行-55~125℃热循环仿真实验,通过Coffin-Masson模型预测焊点寿命。选取焊点钎料量、焊点高度、下焊盘直径作为影响焊点寿命的主要因素进行了... 通过Surface Evolver软件预测了塑料球栅阵列(PBGA)焊点形态,将焊点形态结果导入Ansys软件中进行-55~125℃热循环仿真实验,通过Coffin-Masson模型预测焊点寿命。选取焊点钎料量、焊点高度、下焊盘直径作为影响焊点寿命的主要因素进行了3因素3水平正交实验,通过均值响应分析得到了影响凸点寿命的最敏感因素及最优形态尺寸组合。结果表明对焊点寿命影响最大的因素为下焊盘半径,其次是钎料量,最后是焊点高度,且上下等大的焊盘具有较好的可靠性。 展开更多
关键词 surface evolver 塑料球栅阵列 焊点形态预测 热循环 疲劳寿命 封装技术
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基于能量最小化的CCGA焊点形态仿真研究 被引量:1
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作者 张威 刘坤鹏 +3 位作者 王宏 杭春进 王尚 田艳红 《电子与封装》 2024年第8期51-57,共7页
为了确定某陶瓷柱栅阵列(CCGA)器件实现高焊接可靠性时的工艺参数组合范围,并研究焊点形态随不同参数变化的规律,以钎料润湿角、钎料体积以及焊柱偏移量作为关键变量因素,利用基于能量最小化原理的Surface Evolver软件,计算了不同因素... 为了确定某陶瓷柱栅阵列(CCGA)器件实现高焊接可靠性时的工艺参数组合范围,并研究焊点形态随不同参数变化的规律,以钎料润湿角、钎料体积以及焊柱偏移量作为关键变量因素,利用基于能量最小化原理的Surface Evolver软件,计算了不同因素水平组合下的实际焊点形态,并对参数化建模过程进行了详细介绍。通过对比形态结果与焊点可接收标准,寻找能够产生合格焊点的参量范围,为实际焊点微连接生产工艺提供合理的工艺指导。 展开更多
关键词 封装技术 surface evolver 焊点形态 CCGA
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塑封BGA封装器件双面装焊工艺研究 被引量:2
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作者 李文建 刘潇 +5 位作者 王晓博 郭瑞霞 翟海艳 贾亮 吴言沛 王宏 《空间电子技术》 2021年第6期99-105,共7页
针对微小卫星对遥感数据处理和传输载荷的小型化、智能化、功能综合、组网协同等全新需求,需要解决单板上flash、ddr等大量存储器类无铅BGA封装器件的双面贴装技术问题。采用Surface Evolver软件对SS面BGA焊点形态进行仿真,得到倒置焊... 针对微小卫星对遥感数据处理和传输载荷的小型化、智能化、功能综合、组网协同等全新需求,需要解决单板上flash、ddr等大量存储器类无铅BGA封装器件的双面贴装技术问题。采用Surface Evolver软件对SS面BGA焊点形态进行仿真,得到倒置焊球的焊点高度及球径等焊点形态信息,并得出焊点失稳状态的极限重力条件。通过对SS面BGA焊点进行金相分析验证仿真结果,并对经过温度循环和振动试验后的SS面BGA混装焊点进行金相分析和染色试验。研究结果表明,当焊球承重较小时,随着焊球承重的增加,焊点高度呈线性增加;当焊球承重较大时,随着焊球承重的继续增大,焊点高度增加的速率加大。焊球直径为0.47 mm的BGA焊点,承重极限在0.0335 g~0.0389 g之间,焊点表面张力远大于器件自身的重力;SS面BGA混装焊点通过了200个温度循环及力学振动试验的考核。 展开更多
关键词 BGA混装焊点 双面装焊 surface evolver 可靠性
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Analysis of the shape of heavy droplets on flat and spherical surface 被引量:5
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作者 WANG XueWei YU Yang 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2012年第6期1118-1124,共7页
In this study,a theoretical model was established for predicting the equilibrium shape of the droplet on flat and spherical surfaces.The theoretical equilibrium shape of heavy droplets could be obtained once contact a... In this study,a theoretical model was established for predicting the equilibrium shape of the droplet on flat and spherical surfaces.The theoretical equilibrium shape of heavy droplets could be obtained once contact angle and volume of droplets were given.It showed that the predictions of the theoretical flat model were in good agreement with the shape obtained by Surface Evolver when the contact angle is below 120 and the droplet size is on the order of capillary length.This available range will decrease and increase when the heavy droplet is on convex and concave spherical surface,respectively,in contrast to that on flat surface.The available range will decrease more for higher curvature of convex spherical surfaces. 展开更多
关键词 equilibrium shape heavy droplet ellipsoidal model surface evolver simulation
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Mechanically durable,super-repellent 3D printed microcell/nanoparticle surfaces 被引量:1
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作者 Sajad Haghanifar Anthony J Galante +3 位作者 Mehdi Zarei Jun Chen Susheng Tan Paul W Leu 《Nano Research》 SCIE EI CSCD 2022年第6期5678-5686,共9页
Three-dimensional(3D)printed re-entrant micropillars have demonstrated high static contact angles for an unprecedented variety of liquids,but have yet to achieve this with low contact angle hysteresis and excellent ab... Three-dimensional(3D)printed re-entrant micropillars have demonstrated high static contact angles for an unprecedented variety of liquids,but have yet to achieve this with low contact angle hysteresis and excellent abrasion resistance.We report on the demonstration of 3D printed microcell/nanoparticle structures that exhibit high static contact angle,low contact angle hysteresis,and high mechanical durability.Micropillars and microcells both exhibit high static contact angles with water and ethylene glycol(EG),but suffer from high contact angle hysteresis,indicative of rose petal wetting.Our modeling results indicate that micropillars are able to achieve higher static contact angle and breakthrough pressure simultaneously compared with microcells.However,simulations also indicate that micropillars have higher maximum equivalent stress at their bases,so that they are more prone to mechanical failure.We address contact angle hysteresis and mechanical durability issues by the creation of 3D printed microcell/nanoparticle arrays that demonstrate super-repellency and retain their super-repellency after 100 cycles of mechanical abrasion with a Scotch-Brite abrasive pad under a pressure of 1.2 kPa.The use of interconnected microcell structures as opposed to micropillars addresses mechanical durability issues.Low contact angle hysteresis is realized by coating 3D printed structures with low surface energy nanoparticles,which lowers the solid–liquid contact area fraction.Our results demonstrate new 3D printed structures with mechanical durability and super-repellency through the use of microcell structures integrated with fluorinated nanoparticles. 展开更多
关键词 superomniphobicity three-dimensional(3D)printing surface evolver mechanical durability MICROCELL RE-ENTRANT micropillar
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Boosting the electrochromic performance of TiO_(2) nanowire film via successively evolving surface structure
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作者 Baohu Dai Changzheng Wu Yi Xie 《Science China Chemistry》 SCIE EI CSCD 2021年第5期745-752,共8页
Electrochromic transition metal oxides(ETMOs)are useful in energy saving devices and smart indicators.Among these ETMO candidates,titanium dioxide(TiO_(2))is intriguing for its abundance and environmental safety,but t... Electrochromic transition metal oxides(ETMOs)are useful in energy saving devices and smart indicators.Among these ETMO candidates,titanium dioxide(TiO_(2))is intriguing for its abundance and environmental safety,but the low color efficiency and slow coloring rate are still barricades to promote its electrochromic application.Herein,we demonstrate an amorphization strategy to comprehensively enhance the performance of TiO_(2) nanowire film(TNF)via atomic layer deposition(ALD)of an additional TiO_(2) conformal layer onto TNF surface,of which the layer structure evolves successively from ordered to disordered,achieving tunable electrochromism by controlling ALD cycles.Besides the remarkable increment of charging efficiency by~35% and color efficiency by~40%,bleached transmittance rectified optical density(BTR density)and ion diffusion coefficient are boosted by~90% and over 15 times,respectively for TNF deposited with 150 cycles.A large number of self-doped Ti^(3+) defects and hydroxyl units together with order-disorder interconnections in the ALD TiO_(2) layer are responsible for the performance enhancement.The concept for successively evolving surface structure shares the feasibility of upgrading conventional ETMOs as well as designing new electrochromic materials. 展开更多
关键词 ELECTROCHROMISM TiO_(2) evolving surface structure BTR density ALD
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High-Order Fully Discrete Energy Diminishing Evolving Surface Finite Element Methods for a Class of Geometric Curvature Flows
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作者 Beiping Duan Buyang Li Zhimin Zhang 《Annals of Applied Mathematics》 2021年第4期405-436,共32页
This article concerns the construction of high-order energy-decaying numerical methods for gradient flows of evolving surfaces with curvature-dependent energy functionals.The semidiscrete evolving surface finite eleme... This article concerns the construction of high-order energy-decaying numerical methods for gradient flows of evolving surfaces with curvature-dependent energy functionals.The semidiscrete evolving surface finite element method is derived based on the calculus of variation of the semidiscrete surface energy functional.This makes the semidiscrete problem naturally inherit the energy decay structure.With this property,the semidiscrete problem is furthermore formulated as a gradient flow system of ODEs.The averaged vector-field collocation method is used for time discretization of the ODEs to preserve energy decay at the fully discrete level while achieving high-order accuracy in time.Extensive numerical examples are provided to illustrate the accuracy and energy diminishing property of the proposed method,as well as the effectiveness of the method in capturing singularities in the evolution of closed surfaces. 展开更多
关键词 Gradient flow evolving surface curvature energy decay evolving surface finite element method averaged vector-field collocation
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