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Flory found for the first time that the zero shear viscosity of thepolymer in melt is proportion to its molecular weight for flexible polymersin 1940. Hereafter Fox and Flory found that the zero shear viscosity isproportion to M〓 when the molecular weight is above the critical value,and is proportion to M when below the critical value.

1940年Flory首先发现对于柔性链聚合物而言,其液态的零切粘度同其分子量成正比;此后, 1948年Fox和Flory发现当聚合物链的长度超过某一临界值时,粘度与分子量的3.4次方成正比,而在临界值之下时粘度与分子量的1次方成正比。

By using the Lyapunov functional method and matrix theory, the critical dynamics behavior of recurrent neural networks with nearest point projection has been investigated. It is shown that such networks are globally convergent and asymptotically stable when the networks are nonlinear non-dilatation.

基于Lyapunov泛函方法和矩阵理论,本文研究一类被广泛应用的反馈神经网络―最近点投影型反馈神经网络的临界全局动力学性态,当网络具有非线性不扩张性质时,在临界条件下得到该类网络全局收敛性和渐近稳定性。

Firstly, a group of hyper-plane coefficients are solved using analytic method from one critical point. Then, the deflection is obtained according to the correlativity and other critical points' security information. Thus, the improved coefficients are achieved.

首先在一个临界注入点处通过解析法计算得到一组平面系数,然后根据相关性和其它临界注入点的安全性信息,得到该组系数与真实值之间的偏移值,最后得到该系数的改进值。

He obtained two 4-critical graphs of order 18 and 30. From this, H.P.

一个很自然的问题是18阶临界图是否为最小的偶阶临界图。H.P。

A method was developed to determine the activation energy and material parameters in the hyperbolic sine constitutive equation.The activation energies determined are 570 kJ/mol and 548 kJ/mol for steel T122 in saturation stress and peak stress,respectively.The values of critical strain for dynamic recrystalli...

采用应变硬化速率—应力曲线图较精确地获得了饱和流变应力和峰值应力;用回归法确定了双曲线本构方程中的变形激活能及材料常数,确定了T122钢在饱和应力和峰值应力条件下的变形激活能分别为570和548 kJ/mol;采用力学方法直接从流变曲线确定了T122钢发生动态再结晶的临界应变量,并回归出临界应变量与Zener—Hollomon参数的关系式。

Using the method of linear response theory in lattice dynamics on the basis of Tyson's model, the response displacements of atoms on cleavage plane at the incipience of brittle fracture was derived and an expression for evaluating brittle fracture surface energy of metals was found.

本文在Tyson模型的基础上,应用点阵动力学线性响应的理论方法,导出了脆断发生时解理面上原子的响应位移,并进而给出金属脆断表面能的计算公式。这种处理方式既保持了解理断裂面是结晶的表现,避免了局域"熔化"和"沸腾"模拟脆断的简单模型中出现的非晶化问题,也对解理面上原子临界位移做了合理估计,避免了人为规定临界位移的随意性,同时,从理论上得出的脆断时产生的声发射信号与实际探测到的量级相近。

Pressure characteristics and condition of cavitation incipience were analyzed.

在沿固体表面法线方向减速运动阶段,由于液体离开固体表面的惯性使得液体与固壁面间产生低压,当固体表面运动加速度超过某个临界值时,液体因压力低于空化临界压力而发生空化,空化与固体表面结构及液体流动特性有关。

The numerical results show that, surface temperature gradient in the pool heated from inner wall is 10% higher than that heated from outer wall with a fixed temperature difference between the outer and inner walls. Meanwhile, the critical Marangoni number for the incipience of hydrothermal wave (Ma_{c}=3.06\times 10^{5}) in the pool heated from inner wall is smaller than that (Ma_{c}=3.34\times 10^{5}) heated from outer wall.

发现在内外壁间温差相同的情况下,在内壁加热的液层里,流体表面的温度梯度高于外壁加热情况下10%左右;相应地,发生热流体波的临界Marangoni 数Ma_{c}=3.06\times 10^{5}(或临界温差\Delta T_{c}=4.58K)低于外壁加热情况下的Ma_{c}=3.34\times 10^{5}(或\Delta T_{c}=5.0K)。

Considering the inertial eccentric force and the weight of the drill string, we find that the axis critical force will be obviously less than that under the static state, which will be very important in drill engineering applications.

综合考虑钻柱惯性离心力和自重的影响,我们发现,在工作状态下,钻柱的临界压力会明显地小于静态时的临界力,这对实际的钻探工程来说具有十分重要的指导意义。

In creep buckling question,by means of theoretical analysis,the instaneous critical load and durable critical load of viscoelastic braid composite cylindrical shell under axial compression are obtained and the numerical example is given.

对蠕变屈曲问题,通过理论分析来得到了编织复合材料圆柱壳的瞬时弹性临界载荷和持久临界载荷,给出了具体的算例。

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