准静态离散元方法和线性粘弹性问题的模拟

离散元方法是近年发展起来的一种新数值方法,但原则上只能用于动态问题。从静力平衡条件出发建立了离散元系统的准静态演化方程并证明了系数矩阵具有对称正定、稀疏、带状分布等特点,适用于“有效列”方法求解,该解法比高斯消去法节省更多的内存和机时。通过引入广义Maxwell体的元间作用模型建立起线性粘弹性材料准静态响应的离散元模拟方法。该方法独立于传统动态离散元方法,是传统动态离散元方法的拓展,可望在更多领域获得应用。     

Well‐posedness of initial boundary value problems on longitudinal impact on a composite linear viscoelastic bar

We investigate the correctness of the initial boundary value problem of longitudinal impact on a piecewise‐homogeneous semi‐infinite bar consisting of a semi‐infinite elastic part and finite length visco‐elastic part whose hereditary properties are described by linear integral relations with an arbitrary difference kernel. Introducing nonstationary regularization in boundary conditions and in the contact conditions, the well‐posedness of the considered problem is proved. Copyright © 2017 John Wiley & Sons, Ltd.     

粘弹性几何非线性夹层梁动响应分析

本文选用考虑横向剪切效应的退化梁单元，引入几何非线性假设，对具粘弹性阻尼层的夹层梁动响应及其衰减效果进行了研究，得到了一些具有应用价值的结论。     

高分子熔体和浓溶液流变性能的研究

基于多重缠结网络结构模型和高分子链上缠结点在流动中可进行动态解缠和再缠结的多重蠕动机理,用统计力学和动力学相结合的方法,分别计算出了缠结链组的末端距分布函数;处于缠结状态下高分子链构象统计分布函数;受力下聚合物熔体粘弹性形变自由能和解除外力下高分子挤出体可回复性粘弹性形变自由能,提出了高分子挤出体可回复形变的粘弹性分子理论。推导出的高分子熔体的回忆函数、简单剪切流下的本构方程和物料函数,并采用一种新的方法测定出物料的四种参数： η0、 GN0、 n′和 a。对于高分子挤出体,可回复性粘弹性形变由快速弹性形变和慢速粘弹性形变两者组成,当把两种形变量的复合结构参数－分子链的反式构象分数引入两种形变自由能表达式后,就从理论上得到了可回复形变量同挤出胀大比间的定量表达式,从而建立起一个具有分子链结构参数的新的挤出胀大比方程,可回复形变量同挤出条件（温度、挤出速率和量以及口模长径比不同的挤出机）和树脂结构特征（分子量及分布）的关系式以及在特殊情形下的简化表达式,并用几种高分子熔融体系的挤出胀大比和可回复性形变量的实验数据对理论进行验证,理论方程同实验数据较好的符合。     

Isoprene Polymerization by Butyllithium in Cyclohexane. I. Initiation Reaction

Kinetic studies, using a gas chromatographic method, of the consumption of n-, sec-, and t-butyllithium during the polymerization of isoprene in cyclohexane show in the three cases a sigmoidal curve. When the concentration of polyisoprenyllithium increases, the initiation rate goes through a maximum with n-butyllithium but continuously increases in the two other cases. The three corresponding lithium-butoxides have a drastic effect on the initiation rate. Thus, the addition of n-butoxide strongly increases the initial rate, but the rate further decreases except in the case of sec-butyl-lithium. The behavior of the sec-butoxide is roughly the same, but more limited, while the t-butoxide causes a slight initial promotion in the case of n-BuLi and sec-BuLi but decreases the initiation rate in the case of t-BuLi. These results are discussed in terms of association of organolithium molecules and ion pairs reactivity.     

On integro‐differential inclusions with operator‐valued kernels

We study integro‐differential inclusions in Hilbert spaces with operator‐valued kernels and give sufficient conditions for the well‐posedness. We show that several types of integro‐differential equations and inclusions are covered by the class of evolutionary inclusions, and we therefore give criteria for the well‐posedness within this framework. As an example, we apply our results to the equations of visco‐elasticity and to a class of nonlinear integro‐differential inclusions describing phase transition phenomena in materials with memory. Copyright © 2014 John Wiley & Sons, Ltd.     

Investigation into the ageing process in gels of gelatin/water systems by the measurement of their dynamic moduli

Summary This second paper on the ageing of aqueous gelatin gels (1–5%) deals with the mechanism of the renaturation process. The maximum gelation temperature, i. e. the gel temperature, increases with increasing concentration. For the heat of cross-linking a value of H° = - 442 kJ/mol was found, corresponding with mono-helices of 24 windings and a length of 230 Å. The influence of the thermal history is considerable, and the heat of activation of the rate determining step is very small. Hence, the temperature dependence of the degree of ageing is not caused by temperature dependence of the reaction rate constant, but by the increase in stability of small structures which accompanies a decrease in temperature.

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Zusammenfassung Diese zweite Veröffentlichung betreffs der Alterung von 1–5% Lösungen von Gelatin in Wasser behandelt den Mechanismus des Renaturationprozesses. Die maximale Gelierungstemperatur, d. h. die Geltemperatur, nimmt zu mit zunehmender Konzentration. Für die Verknüpfungswärme wurde gefunden H° = -442 kJ/mol. Dieser Wert korrespondiert mit Monohelices von 24 Windungen und einer Länge von 230 Å. Die Abhängigkeit von der thermischen Geschichte ist bedeutend und die Aktivierungsenergie des geschwindigkeitsbestimmenden Reaktionsschrittes ist sehr klein. Demnach wird die Temperaturabhängigkeit des Alterungsgrades nicht verursacht durch die Temperaturabhängigkeit der Reaktionsgeschwindigkeitskonstante, sondern durch die Zunahme der Stabilität kleiner Strukturen mit abnehmender Temperatur.

     

同心旋转圆柱间粘弹性流的非线性动力学模型

基于小间隙假设,将速度场和应力场有杉Ｆｏｕｒｉｅｒ展开式截断近似,推导了同心旋转圆柱间Ｏｌｄｒｏｙｄ－Ｂ型流体的六维动力系统,探讨了高分子添加对滑动轴承间油膜稳定性的影响。结果表明,少量的高分子添加剂具有推迟流体层流失稳的作用。     

304不锈钢室温单轴循环棘轮行为的粘塑性本构描述

在统一粘塑性循环本构模型的框架下对循环硬化的304不锈钢的单轴棘轮行为进行了本构描述。模型中通过随动硬化背应力演化和各向同性变形阻力演化对304不锈钢在非对称应力循环下的循环附加硬化和循环流动特性进行了分析，同时考虑了加载历史对循环棘轮行为的影响。将模型应用于304不锈钢室温单轴循环棘轮行为及其对加载历史依赖性的描述中，预言结果与实验结果吻合较好。     

Thermo‐visco‐elasticity for Norton‐Hoff‐type models with Cosserat effects

We consider the quasi‐static evolution of thermo‐visco‐elastic material. The main goal of this paper is to present how taking into account the additional effects may improve the result of solutions' existence. We added a micropolarity effect to thermo‐visco‐elastic model regarding Norton‐Hoff‐type constitutive function. This additional phenomenon improves the regularity of solution. Copyright © 2016 John Wiley & Sons, Ltd.