Elastic modulus and yield stress of suspensions

A recent technique, developed to measure yield stress has here also been used to determine the elastic modulus of a suspension. Temperature effects have been measured.     

结合内时理论研究岩石衰减与应变振幅的关系

本文将解决复杂弹塑性问题的有效工具内时理论,引入到岩石衰减的研究中来。根据内时理论,简要推导了在中等应变条件下,岩石衰减与应变振幅的用非弹性参数α表示的具体关系式。在MTS压机上,对砂岩、花岗岩等多种岩石样品进行了一系列的循环加卸载实验。利用应力应变滞回曲线的面积,根据衰减的能量损耗的定义,计算了各种实验条件下的岩石样品的衰减值。实验数据表明,在各次循环平均应力相等的条件下,岩石样品的衰减随应变振幅的增加而增加,与内时理论的推导结果相一致。最后,对表示岩石非弹性的参数α进行了简要的讨论。砂岩的α值较为稳定,在0.5左右;而花岗岩的α值变化较大,但二者都随着应力的增加而增加。该实验结果对地震波在地球介质中的衰减研究有一定的参考意义。     

Structure and rheology of model side-chain liquid crystalline polymers with varying mesogen length

We probed the structural transitions and rheological properties of norbornene-based polymeric liquid crystals with attached side mesogenic groups of varying length. Whereas the short side chain liquid crystals (C5) formed a nematic mesophase, the long ones (C9) formed a smectic-A solid. The degree of polymerization of the main backbone affected the isotropic-mesophase transition temperatures, but did not influence the change of the mesophase dynamics from the isotropic to the anisotropic state. The temperature dependence of the shift factors obtained from the time-temperature superposition were divided into three regions, namely isotropic, mesophase, and transition, all exhibiting Arrhenius behavior except for the nematic fluid, which followed a WLF dependence. A remarkable strain hardening observed in both nematic and smectic samples was attributed to the dynamic coupling of the main chain and the mesogenic side groups. By applying large amplitude oscillatory shear, macroscopic alignment was achieved; the long recovery times upon flow cessation suggested a very slow structural reorganization, which was much longer in the smectics compared to the nematics, possibly due to the involvement of smaller length scales in the former case. Received: 26 December 2000/Accepted: 26 February 2001     

小直径柔性钢索预紧张力的测量与计算

汽车手制动装置中的钢索在装配时必须预紧到一定张力,装配时的张力采用“三点法”原理测量, 普遍认为由于钢索的弯曲应力,使测量值与实际值不符．通过分析钢索张力测量时的实际受力情况,提出非弯曲效应计算模型,与实验数据比较吻合,从理论上解决了钢丝绳张力快速测量的技术问题,并在实际工艺中得到了稳定的结果．     

两种磁流变液测试系统的比较研究

本文首先简单介绍了自行设计加工的两套磁流变液屈服应力的测试系统,然后利用此实验设备对美国某公司生产的商用磁流变液进行了测量,并将结果与德国生产的型号为 Ｍ Ｒ１００４５０ 的 Ｍ Ｒ Ｆ测试系统对此磁流变液的测试结果进行了比较,通过比较结果肯定了自行设计的碟片旋转式磁流变液测试系统的测量准确性和可靠性,并且发现了管道流测试方法的固有局限性。     

The rheology of suspensions of vinylon fibers in polymer liquids. I. Suspensions in silicone oil

Summary The steady shear flow properties of suspensions of vinylon fibers in silicone oil were measured by means of a cone-plate type rheometer. Three kinds of vinylon fibers used had no distributions of length and were more flexible than glass fibers and the like. The content of the fibers ranged from 0 to 7 wt.%. Shear viscosity, the first normal-stress difference, yield stress, and relative viscosity were discussed. Shear viscosity and relative viscosity increased with the fiber concentration and the aspect ratio, and depended upon the shear rate. The applicability of Ziegel's equation of viscosity for fiber suspensions was investigated. The first normal-stress difference increased with the fiber concentration, aspect ratio, and shear rate and its relative increase was much larger than for shear stress and viscosity depending on the properties of the characteristic time, The yield stress could be determined by Casson plots for large aspect ratio fiber suspensions even in low concentration comparing with the suspensions of spherical particles or powder. The influence of the flexibility of the fibers for the rheological properties of the fiber suspensions can not be ignored.With 12 figures and 2 tables     

The rheology of suspensions of vinylon fibers in polymer liquids. II. Suspensions in polymer solutions

Summary The rheological properties of vinylon fiber suspensions in polymer solutions were studied in steady shear flow. Shear viscosity, first normal-stress difference, yield stress, relative viscosity, and other properties were discussed. Three kinds of flexible vinylon fibers of uniform length and three kinds of polymer solutions as mediums which exhibited remarkable non-Newtonian behaviors were employed. The shear viscosity and relative viscosity ( _r ) increased with the fiber content and the aspect ratio, and depended upon the shear rate. Shear rate dependence of _r was found only in the low shear rate region. This result was different from that of vinylon fiber suspensions in Newtonian fluids. The first normal-stress difference increased at first slightly with increasing fiber content but rather decreased and showed lower values for high content suspensions than that of the medium. A yield stress could be determined by using a modified equation of Casson type. The flow properties of the fiber suspensions depended on the viscosity of the medium in the suspensions under consideration.With 16 figures and 1 table     

铁合金和青铜多孔材料屈服应力的实验研究

对铁合金和青铜多孔材料做静态实验和Taylor冲击实验,得到静态屈服应力和孔隙率以及动态屈服应力和应变率的变化规律,同时将静动态载荷作用下的多孔材料的本构方程与实验结果进行了对比,发现理论分析和实验研究有良好的一致性,表明本文采用的模型基本能满足实际工程应用。     

弹性模量的发现历程

尽管弹性模量以英国科学家托马斯·杨（Thomas Young,1773—1829）的名义命名,被称为杨氏模量,然而,弹性模量的发现并非由托马斯·杨一人独立完成。本文通过文献梳理,重点分析了雅各布·伯努利（Jacob Bernoulli,1655—1705）、欧拉（Leonhard Euler,1707—1783）、里卡蒂（Giordano Riccati,1709—1790）、托马斯·杨、纳维（Claude-Louis Navier,1785—1836）等人在弹性模量发现过程中的贡献,通过勾勒弹性模量概念的发现历程,探索力学概念在其发展过程中的内在逻辑性。

     

FCC金属塑性屈服的尺度效应和应变率响应

对纳米尺度单晶铜的剪切变形进行了分子动力学（MD）模拟．模拟结果表明,单晶铜的剪切屈服应力随模型几何尺度的增大而降低,而随着应变率的增大而升高．基于位错形核理论,建立了一个修正的指数法则来描述面心立方（FCC）金属的尺度效应,该法则与较大尺度范围内（从纳米到毫米以上）的数值模拟结果以及实验数据都符合得比较好．另外,MD模拟中发现单晶铜存在一个临界应变率,当施加的应变率小于该值,剪切屈服应力几乎不随应变率变化而变化;当大于该值,剪切屈服应力会随着应变率的增加迅速升高．最后根据模拟的结果建立了单晶铜和单晶镍塑性屈服强度的应变率响应模型．     

Melt rheology of long-chain-branched polypropylenes

Rheological properties of long-chain-branched isotactic polypropylene (PP) via copolymerization with a very small amount of nonconjugated α,ω-diene monomer using metallocene catalyst system in both linear and nonlinear regions were investigated, comparing with conventional linear and long-chain-branched PP modified at postreactor. Although comonomer incorporation was equal to 0.05 mol% or less, it caused high molecular weight, broad molecular weight distribution, and long-chain branching. A detailed study on the effect of diene incorporation on the polymer properties was conducted, comparing with modified PP in postreactor. Polymer chain microstructures were characterized by gel permeation chromatography with multiangle laser light scattering (MALLS), differential scanning calorimetry, and rheological means: dynamic viscoelasticity, step-strain, uniaxial elongational flow measurements, and large amplitude oscillatory shear. The PP, which incorporated a small amount of diene monomer, showed significantly improved viscoelastic behaviors. The diene-propylene copolymer containing long-chain branches showed extremely long relaxation mode under shear and outstanding viscosity increase under elongational flow, so-called strain hardening. The difference in microstructure of diene-propylene copolymer with modified PP with long-chain branches is investigated by MALLS and rheological characterizations.     

Nonlinear rheology for threadlike micelles of tetraethylammonium perfluorooctyl sulfonate

Nonlinear rheological features were investigated for an aqueous solution of tetraethylammonium perfluorooctyl sulfonate (C₈F₁₇SO₃ ^–N⁺(C₂H₅)₄; abbreviated as FOSTEA). In the solution (c=0.045 mol/l; 28.3 g/l), spherical micelles of FOSTEA were connected with each other to form threads of pearl-necklace shape. These threads were further organized into a transient network to exhibit linear relaxation characteristic of living polymers, single-mode terminal relaxation widely separated from faster relaxation processes. Nonlinear relaxation experiments against large step-strains γ(≤8) revealed that the terminal relaxation mode had a γ-insensitive relaxation time but its relaxation intensity exhibited significant damping (much stronger than that for entangled polymers). In contrast, the relaxation time and intensity for the fast relaxation modes first increased and then decreased with increasing γ. Under shear flow, the FOSTEA threads exhibited strong thinning of the viscosity. These nonlinear features of the FOSTEA threads were compared with those of other threadlike micelles, analyzed on the basis of an empirically introduced constitutive equation, and discussed in relation to strain/low-induced scission of the living threads. Received: 20 February 1998 Accepted: 30 July 1998     

Stress space and strain space formulation of the elasto-plastic constitutive relations for singular yield surface

This paper gives the stress space and the strain space formulations of the elastoplastic constitutive relations at a singular point on a yield surface, discusses the parallelism of the two space formulations and points out that the strain space formulation has a wider range of applicability.     

混凝土剪切应力-应变曲线的研究

本文利用自行设计的混凝土剪切试件对混凝土剪切强度、剪切应力一应变曲线进行了研究,为混凝土结构的分析提供了必要的力学模型．     

正交各向异性材料电阻应变测量的横向效应修正

本文讨论了电阻应变片测量正交各向异性材料应变的横向效应修正。将测量各向同性测量的表观弹性模量、表观泊松比推广应用于正交各向异性材料，得出了一组与广义虎克定律形式上相同的计算式，并讨论了横向效应对应力测量精度的影响。     

Rheology of lyotropic and thermotropic lamellar phases

We investigate the steady-state rheological behaviour of the lamellar phase of a lyotropic system (CpCl, hexanol, brine) and of a thermotropic system (8CB). Power laws characterize the behaviour of the imposed stress as a function of the measured shear rate and similarities are observed for both systems; the same regime γ˙∼σ ^m with m≈1.7 is obtained at low shear stresses corresponding to a texture of oily streaks oriented in the direction of the flow, as shown by microscopic observations. The “onion state” only exists in the case of dilute samples of the lyotropic lamellar phase; the stress then varies as γ˙∼σ ^m with m≈4.8, as already observed by other groups with different systems. Rheological measurements at different temperatures allow determination of different activation energies relating to the still badly understood processes involved in the different rheological regimes. We propose a model which reproduces the experimental power laws and which is based on an analogy with the theory of high-temperature creep in metals and alloys. Received: 19 October 1999/Accepted: 1 November 1999     

A NOVEL THEORY OF EFFECTIVE MECHANICAL PROPERTIES OF CLOSED-CELL FOAM MATERIALS

In this paper a new theory of effective mechanical properties of foam materials is proposed. A cell volume distribution coefficient is introduced to modify the original Gibson-Ashby equations of effective mechanical properties of foam materials. The constants that influence the effective modulus are replaced by the coeff~cient. Based on the modified distribution coefficient, the yield stress is also recalculated. Using X-ray microtomography, the internal structures of dif- ferent samples of polypropylene-nanoclay foam are obtained. The cell volume distributions of these samples are derived from the experiment by image analysis and the fitting curves are plot- ted. The distribution coefficient is acquired using the parameters from the theoretical model of the distribution curves. The results of the improved theory are compared with the experimental values and show good fitting quality. It was found that the precision of the improved theory is high and the cell volume distribution has an impact on the effective mechanical properties that would lead to the optimization of the synthesis procedure.     

孪晶对多晶纯钛塑性变形影响的实验研究

本文介绍了不同温度下多晶纯钛试件的单调拉伸、压缩试验和不同应变的压缩加卸载试验及其结果,同时介绍了拉断试样以及不同压缩应变下卸载试样的金相观察结果。通过直接比较不同温度下多晶纯钛的单调拉伸、压缩试验结果以及相应的金相分析,得到了由孪晶单独引起的流动应力的增加与应变之间的定量关系。本文还根据Hall-Petch关系和孪晶体积分数的演化方程,建立了孪晶引起的流动应力的增加与应变之间的唯象解析关系。试验结果表明此唯象关系较好地描述了孪晶对多晶纯钛塑性变形的影响。     

关于多轴疲劳寿命临界面法影响因素的分析与计算

本文以拉-扭非比例加载下的薄壁圆管试件为研究对象,以最大法向应变的最大剪应变平面为临界面,并对此临界面上的应变状态进行了分析。采用统一型疲劳寿命预测模型,以正火45钢为例,研究了非比例加载时相位差对疲劳寿命的影响,进而对不同正应变幅和应变幅值比加载下的危险相位差的变化规律进行了计算分析。结果发现:应变幅值比对疲劳寿命最短时的危险相位差的影响呈先上升后下降的趋势;并给出了不同应变幅值比时危险相位差的计算通式,式中的系数可通过材料力学性能与单轴疲劳参数计算得到。最后给出了15种材料的系数供实际应用时参考。     

Degree of branching of polypropylene measured from Fourier-transform rheology

In this study, linear and branched polypropylenes (PP) were compared under medium strain amplitude oscillatory shear (usually strain amplitude range from 10 to 100%) with Fourier-transform rheology (FT rheology). On a log–log diagram, the third relative intensity (I ₃/I ₁), which is a parameter to represent nonlinearity, shows a linear relationship with the strain amplitude in the range of medium strain amplitude. The slope of I ₃/I ₁ of linear PP with various molecular weight and molecular weight distribution was 2 as most constitutive equations predict, while that of branched PP was 1.64, which is lower than that of linear PP. When the linear and branch PP were blended, the slope of I ₃/I ₁ was proportional to the composition of the branch PP. Therefore, it is suggested that the degree of branching can be defined in terms of the slope of I ₃/I ₁ under medium amplitude oscillatory shear.