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We have studied a model of a non-Newtonian viscous compressible fluid in 3D bounded domains, in which the viscous part of the stress tensor satisfies the coerciveness condition and the values of the growth condition ., are positive constants. Here is the tensor of the velocity gradient, is the strain tensor and ,which depends on the tensor of the velocity gradient, is the hefts of .

对满足强制性条件,以及增长性条件的非牛顿粘性可压缩流体在三维有界区域中的流动进行了研究,其中和为正常数,为速度梯度张量,是偏应力张量,为的分量,它依赖于速度梯度张量。

And had proven the essence of submit function on geo-technical material is under certain stress condition between the second deviator stress tensor invariant and the own attribute functional relation of materials.

证明了岩土类介质屈服函数的实质是在一定应力状态下偏应力张量第二不变量与材料自身属性之间的函数关系。

Second, by analyzing the strain of northsouth blocks of the fault, we find an asymmetric displacement distribution between the two sides of the rupture, and the two blocks are subject to compressional and tensional stress respectively. It is a pattern that cannot be explained with the linear elastic theory. However, laboratory experiments and in situ measurements in boreholes have shown that many crustal rocks exhibit a nonlinear elastic behavior in compression and tension with a dependence of the Young's modulus on the minimum principal stress. So we suggest that the nonlinear displacement distribution should be considered when dislocation and hypocentral parameters are analyzed.

进而通过对地震南北盘同震应变的分析,发现了昆仑山地震的南北两盘分别受挤压和拉张两种应力作用,研究表明多种岩石在拉张和压力作用下其最小主应力下的杨氏模量表现出非线性弹性特征,从而提出对昆仑山地震地表位移及震源特征参数分析时应考虑非线弹性介质导致的非线性弹性位移分布特征。

According to the theory of invariants of the stress tensor and inductive method, a unified theory of failure is possible.

作者从应力张量不变量出发,提出一些现有强度理论的缺点或不足之处,根据应力张量不变量理论和归纳方法提出了可能的统一的强度理论。

From the basic formula of coulomb force and ampere force,together with the concept of electric stress tensor , the mathematic formula of electric force and magnetic force is deduced in this article.

从库仑力和安培力的基本公式出发,引用电应力张量和磁应力张量的概念,导出计算电场力和磁场力的简单数学表示式。

In tensor algebra the vector appears as a speical case of a more general concept, which includes stress and inertia tensors

在张量代数中,矢量是做为更普遍的概念的一种特殊情况出现的,这种更普遍的概念包括应力张量和应变张量。

According to the similar nature of gravitational field and electrostatic field, using analogy method, the stress tensor in gravitational field is obtained from Maxwells stress tensor in electrostatic field, and the universal gravitation inside t

文摘:根据引力场和静电场的相似性质,通过类比方法由静电场的麦克斯韦应力张量得出了引力场中的应力张量,并用它计算了均质球体内部的万有引力。

According to the similar nature of gravitational field and electrostatic field, using analogy method, the stress tensor in gravitational field is obtained from Maxwells stress tensor in electrostatic field, and the universal gravitation inside the isotropic spheroid is calculated with the obtained result.

文摘:根据引力场和静电场的相似性质,通过类比方法由静电场的麦克斯韦应力张量得出了引力场中的应力张量,并用它计算了均质球体内部的万有引力。

Using FEM, the coupled action of thermal stress and crustal stress has been taken into account. The regularities of distribution of the horizontal displacement of surface of slope and the shear stress of junction plane between shotcrete and rock are discussed too. According to the analysis, under the combined action of thermal stress and crustal stress, top and foot of slope are liable to be destructed. Ordinary, the destructional form of the top is tensile failure and the bottom is shear failure. There are some time effect of displacement and stress in the surface of slope and distribution of temperature in slope, which agrees with actual measured rules.

采用有限元的方法,考虑地应力与温度应力的耦合作用,分析了在一定的边界温度作用下不同时刻边坡喷层面的水平位移,以及喷层与岩层结合面处的剪应力的分布规律;指出在温度应力与地应力的共同作用下,喷混凝土边坡坡顶与坡脚均为容易发生破坏的地方,通常坡顶的破坏型式为拉张破坏而坡脚则为剪切破坏;边坡内的温度分布、边坡表面的位移与应力的变化均存在一定的时间效应,这一规律与实测规律比较吻合。

The osculating relation exists between rockfill fabric tensor and stress tensor, which have been proved theoretically in this paper. So creep mechanism and deformation law of rockfill can be gained from varying of fabric tensor. As a result creep mechanism of rockfill creep may be revealed from microcosmic view.

堆石体组构张量与应力张量和应变张量有密切的关系,从组构张量的变化可以导出堆石体的变形机理和规律,从而揭示堆石体材料流变变形的细观机理。

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