stress tensor

On the basis of the constitutive principle and power conjugate principle, the second Piola-Kirchhoff stress tensor and Green strain rate tensor are ursed to construct the oblique constitutive equation, in which, incompressibility and inextensibility conditions are used.

根据本构原理与功共轭原理，采用第二Piola-Kirchhoff应力张量与Green应变率张量建立了纤维束挤压阶段的斜交本构方程。

The stress in three-dimension, under which isotropic saturated sand will boil, is studied with tensor analysis and the stress development progress of sand boil is discovered.

利用张量理论，从液体和固体的定义出发，分析了三维应力条件下各向同性沉积砂发生砂沸的应力条件，揭示了砂沸的应力发展过程。

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

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。

To characterize relative orientation between the loading direction and material fabric, an anisotropic variable expressed by the joint invariants of the stress tensor and fabric tensor is introduced.

为了描述材料的各向异性，引入了一个由应力张量和组构张量的联合不变量表达的各向异性参数。

The study shows that both generalized shear stress and the first invariant function of stress tensor become smaller and smaller when pore pressure increases during the course of the development of sand boil.

研究表明，在砂沸发展过程中，广义剪应力与有效应力张量第一不变量均随着孔隙水压力的增大而减小，且逐渐趋于零；

The relationship between fabric tensor and contact density distribution functions, and the relationship between fabric tensor and stress tensor are analyzed.

本文通过引入微观组构张量和接触密度分布函数，将散粒体的微观力学变量与宏观力学变量联系起来，从而建立了散粒体的本构理论。

Magnetic Maxwell stress tensor is derived by use of vector, dyadic and tensor operation, and the computing theory& method of the suspension force on the permanent magnetic bearing is developed and perfected according to Maxwell stress tensor.

利用并矢、矢量和张量运算理论推导出Maxwell磁场张量，发展和完善了基于Maxwell磁场张量的永磁轴承悬浮力计算的理论和方法。

The velocity fields, pressure fields, viscosity fields and stress tensor fields at different time in the yz section and the xy section are respectively analyzed in detail.

讨论了两种螺杆流道的yz平面上和xy平面上不同时刻的速度场、压强场、剪切应力场和黏度场。

Also derived in the paper are the Green-Lagrange strain tensor and the second Piola-Kirchhoff stress tensor in the Riemann space of the shell. Finally, on the basis of the virtual work, the non-linear equilibrium equations of thin-shell structures are developed.

其间，导出了其壳体黎曼空间中的Green－Lagrange应变张量和第二类Piola－Kirchhoff应力张量的表达形式，并通过虚功原理，建立了薄壳结构的非线性平衡关系。

One third of the tensor is often called the bulk stress.

张量的三分之一通常称为体应力.

Conservation of Mass. Conservation of Momentum. Stress Tensor.

3质量守恒,动量守恒, 应力张量.

Triggering of earthquakes by the tidal stress tensor

固体潮应力张量对地震的触发作用

Consequently an analytical equation in terms of porosity, strain and spherical stress tensor is put forward by virtue of logarithmic strain, the plastic condition and the physical equation of pore mechanics.

为此，本文利用对数应变和孔隙力学的塑性条件及物理方程，建立了孔隙率与变形和应力球张量的解析关系式，进而得到了疏松缺陷压实的修复条件。

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。

A momentum equation of steady two-dimensional axi-symmetrical turbulent boundary layer is derived employing stress tensor analysis.

本文根据应力张量表示的动量方程，推导出了轴对称坐标系中无旋转定常轴对称流动可压缩湍流边界层的动量方程。

In this paper, the formulas of the maximum tidal shear stress and the tidal hydrostatic stress for shallow earthquake are obtained from the tidal stress tensor. the relationship of their phases are discussed.

本文从潮汐应力张量出发，求出浅源地震的日月潮汐最大剪切应力和流体静应力的表达式，讨论了它们位相间的关系。

Magnetic Maxwell stress tensor is derived by use of vector, dyadic and tensor operation, and the computing theory& method of the suspension force on the permanent magnetic bearing is developed and perfected according to Maxwell stress tensor.

利用并矢、矢量和张量运算理论推导出Maxwell磁场张量，发展和完善了基于Maxwell磁场张量的永磁轴承悬浮力计算的理论和方法。

The porosity defect is that in certain area inside the cast ingot exist small cellular voids relatively equally distributed, slight difference in mechanical properties, obvious plastic volume deformation and variation of relative density governed by the spherical stress tensor.

疏松缺陷是一定区域上相对均匀分布着的蜂窝状小空洞，疏松区域上各处的力学性能相差小，表现为明显体积塑性变形，材料的相对密度变化主要依赖于应力球张量。