Spontaneous translation of nanodroplet over a heterogeneous surface due to thermal cycles: role of solid–liquid interfacial fluctuations

ABSTRACT

We study the molecular-scale features of the solid surface that result in the spontaneous motion of a nanodroplet due to the periodic variation of temperature. We first employ a thermodynamic model to predict the variation of solid–fluid interfacial properties that can result in the above motion. The model identifies a composite (surface couple) made of two surfaces that are characterised by a large difference between the entropic parts of the solid–liquid interfacial free energies. In order to understand the molecular-scale features of the two surfaces that may form a surface couple, we performed grand canonical Monte Carlo simulations of Lennard Jones fluid and crystalline surfaces made of Lennard Jones-like atoms. We then used the cumulant expansions of the perturbation formulas to divide the interfacial entropy into two parts: The one that is directly affected by the solid–fluid attraction (direct part), and the other (indirect part) that is indirectly affected by the solid–fluid attraction via the alteration of interfacial fluctuations. Our results indicate that two surfaces form a surface couple if the differences between their chemical natures lead to large differences in the indirect part of the interfacial entropy, while the direct part remains relatively unaffected.     

Interface sharpness in the Ising model with long-range interaction

For the 3-dimensional Ising model with long-range interaction, Gibbs states are constructed that are small perturbations of non-translation-invariant ground states. These ground states are in one-to-one correspondence with the set of all rational planes.     

对薄层柱壳爆炸膨胀断裂过程的研究

 本文提出了一个用于描述动态破坏发展过程的损伤度函数。从这个损伤度函数出发,把材料特征性方程取为强化粘塑性本构方程形式,导出了薄层柱壳爆炸膨胀运动在两种近似下（恒定膨胀速度近似合恒定应变速率近似）断裂判据的解析表达式。结果分析表明,在上述条件下,存在着一个动态断裂“塑性峰”,在这个峰值条件的应变率下,柱壳出现贯穿断裂时刻的应变最大。以软钢为算例,本断裂判据可以比较好地解释Иванов和陈大年等给出的实验结果。这时,动态断裂“塑性峰”对应的应变率为4×10⁴ s^-1,相应的应变约为60%~80%。     

Construction of inclusions with vanishing generalized polarization tensors by imperfect interfaces

We investigate the problem of planar conductivity inclusion with imperfect interface conditions. We assume that the inclusion is simply connected. The presence of the inclusion causes a perturbation in the incident background field. This perturbation admits a multipole expansion of which coefficients we call as the generalized polarization tensors (GPTs), extending the previous terminology for inclusions with perfect interfaces. We derive explicit matrix expressions for the GPTs in terms of the incident field, material parameters, and geometry of the inclusion. As an application, we construct GPT-vanishing structures of general shape that result in negligible perturbations for all uniform incident fields. The structure consists of a simply connected core with an imperfect interface. We provide numerical examples of GPT-vanishing structures obtained by our proposed scheme.     

Pulsierende Druckströmung hochpolymerer Schmelzen im kreisförmigen Kanal

Zusammenfassung Es werden theoretische und experimentelle Untersuchungen pulsierender Strömungen viskoelastischer Flüssigkeiten in einem kreisförmigen Kanal durchgeführt. Unter Voraussetzung einer eindimensionalen, isothermen und vollentwickelten Strömung in Anwesenheit sinusförmiger Druckgradientenschwankungen wird für die rheologische Zustandsgleichung von Bird-Carreau eine asymptotische Lösung erzielt. Die Ergebnisse weisen darauf hin, daß sowohl die relative Amplitude der Ausstoßschwankungen als auch die relative Änderung des mittleren Ausstoßes sich in einer allgemeinen Form darstellen läßt, die bezüglich der Temperatur und der relativen Amplitude der Druckgradientenschwankungen invariant ist. Die theoretischen Ergebnisse werden mit experimentellen Daten für ein Polyethylen niederer Dichte verglichen. Dabei wird eine gute Übereinstimmung der Theorie mit dem Experiment festgestellt.

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Theoretical and experimental studies were carried out on the pulsating flow of viscoelastic liquids through a circular channel. By assuming the flow to be one-dimensional, isothermal, and fully developed and the Bird-Carreau constitutive equation to be applicable, an asymptotic solution was found. The results obtained indicate that both the relative amplitude of pulsation of the output and the relative change in the average output may be presented in a generalized form that is independent of the relative amplitude of the pressure pulsations and temperature. The theoretical results were verified experimentally for a low-density polyethylene. Good agreement was found between the theory and the experimental data.

     

氢离子轰击对TiC膜结构及界面影响的研究

本文研究荷能氢离子轰击对TiC薄膜的结构及其界面的影响。氢离子源为5A的脉冲离子注入器,能量25keV,脉冲宽度20ms。样品经轰击后发现。与受相同辐照的45~#钢样品相比,TiC薄膜表面无明显的损伤;TiC薄膜内的氢含量较高;薄膜的织构消除;TiC薄膜与基体间的结合力有明显提高。     

空间轴对称变形界面裂纹尖端的应力奇异性分析

假定位移场,并将位移势函数展开成一系列的特征函数,代入空间轴对称变形的基本方程,推得界面裂纹的特征值理论。把这一理论应用到单向增强的连续纤维复合材料上,建立了纤维断裂、基体开裂等模型下应力奇异性的特征方程,分析了界面裂纹尖端的应力奇异性。     

国产航空有机玻璃在冲击载荷下的热粘弹性力学响应

本文以鸟撞高速飞机风档问题为背景,对国产航空有机玻璃3~#PMMA在从准静载荷的应变率(10~(-4)S~(-1))直到冲击载荷的高应变率(10~3S~(-1))范围,和环境温度从-60℃到+100℃范围内的力学性能进行了系统的实验研究,并建立了相应的非线性热粘弹性本构方程。理论预示与实验结果符合。另外还对3~#PMMA低温及高应变率冲击脆化现象进行了讨论,发现与这一现象相一致,3~#PMMA在高应变率冲击条件下的玻璃化温度有明显的提高。     

The dynamics of random interfaces in phase transitions

A review is given of recent developments involving the dynamics of random interfaces formed in the evolution of metastable and unstable systems. Topics which are discussed include interface growth and nonequilibrium dynamical scaling. The possibility of there being dynamical universality classes in first-order phase transitions is also discussed. There are a large number of systems of experimental interest which include binary alloys, binary fluids, and polymer mixtures. Other systems studied by computer simulation include the kinetic Ising, Potts, andZ _N models.Work supported by NSF grant No. DMR-8013700.     

金属冲击温度的辐射法测量问题

 金属的冲击温度及熔化温度测量对构建其完全状态方程具有重要意义。简要综述了用于金属冲击温度及熔化温度辐射法测量的一维热传导理想界面模型和非理想界面模型,并着重对模型中明示或隐含的关键假定的合理性、影响金属冲击温度与熔化温度结果的主要因素进行了分析、讨论,以期对实验数据有一个合理的评估。还讨论了求解理想和非理想界面模型一维热传导方程界面温度时所隐含的冲击压缩下热导率不随温度而变、冲击压缩下金属样品/窗口界面辐射的灰体假定,以及窗口材料的透明性、非理想界面模型中表观界面温度的修正、动载条件下金属高压熔化温度的测量、界面的非Flourier热传导等问题。分析结果表明,目前采用辐射法测量大致可以得到冲击温度,在发生熔化的情况下可获得熔化温度,但离精密测量的要求还有较大差距。