查询词典 tensor field

Difference set is one kind of unbounded difference poset. The existenceof the tensor products of two cancellative difference sets are investigated. It isproved that the tensor product of a Boolean algebra and a cancellative differenceset always exists.

作为差分偏序集无界推广的差分集，我们研究了它的张量积问题，证明了任何消去差分集和布尔代数的张量积一定存在。

We calculate the energy-momentum pseudo-tensor of relic gravitational wave of both the polarized states by Riazuelo-Uzan expression of the energy-momentum pseudo tensor in the Cartesian coordinates, we can see that energy density and momentum densities of relic GWs are dependent on cosmic scale factor and square of the amplitudes,. At the same time, the energy density of relic GWs is positive definite, the momentum densities components have reasonable physical behavior,and their values are independent on the directions.

我们还用Riazuelo-Uzan表述在直角坐标系下对双极化态的遗迹引力波的能量动量赝张量进行计算，发现双极化态的遗迹引力波的能量张量密度与他们的振幅的平方和宇宙学尺度因子有关，他们的能量密度是正定的，大小跟传播方向无关，即遗迹引力波在宇宙学尺度上是各项均匀同性的。

Multiplication of a tensor by a scalar quantity yields a tensor of the same order.

张量和标量相乘仍为同阶张量

In contrast, in the linearized theory the deformation tensor is the sum of a rotation and a strain tensor and the order of their application is immaterial.

相反，在线性理论中，形变张量是旋转和平动张量的和，其值的数量级大小不重要。

We have described the stress tensor arising from equilibrium considerations and the strain tensor arising from kinematical considerations.

我们已经叙述了应力张量和应变张量的有关概念和某些特质，它们是分别从平衡的角度和运动的角度推导而得的。

Further, strain energy function is separated into volumetric and deviatoric parts, and the relationship between the Green-Lagrange strain tensor and second Piola-Kirchhoff stress tensor is given.

在建立求解方程的过程中，Heaviside加权函数的引入完全或部分除去了刚度矩阵中的局部域积分项，大大简化了本文方法的计算工作量。

Based on the total Lagrangian description, general stress and strain iensors corresponding to Kirchhoff siress tensor and Green strain tensor are used in the process of derivation.

推导过程基于完全的增量形式Lagrange描述法，采用与Kirchhoff应力张量和Green应变张量对应的广义应力和广义应变张量进行分析。

Based on definition of strain energy function,increment formula of stationary potential energy of finite displacement theory were derived in terms of Kirchhoff stress tensor and Green strain tensor.

基于有限位移理论应变能密度函数的定义，利用Kirchhoff 应力张量和Green应变张量，推出了非线性分析中增量形式的势能驻值公式，并证明了由势能增量驻值原理得到的增量平衡方程形式与由虚位移原理所得的结果完全一致。

From the point of view of perfect interface, the stress tensor and the strain tensor are decomposed into two orthogonal complementary parts: in-plane components and out-of-plane components at interface, respectively.

从理想界面的观点出发，分别将应力张量和应变张量在界面坐标系下分解为面内分量和面外分量。

According to the concept of strain energy of cracked materials, the orientation tensor of crack was defined. Considering the crack-closing and friction between crack surface under compression, The damage tensor, damage strain and effective elastic modulus were formulated. A method for discrete description of damage mechanism was given, and the evolution equation of discrete orientation density of crack was obtained. The relationship of micromechanism and the macro-representation of concrete failure were studied.

从含裂纹材料的变形能出发，引出了裂纹的方位张量；在考虑裂纹受压闭合与滑动摩擦的基础上，给出了损伤张量、损伤应变和有效弹性系数的表达式，在损伤机构离散化方法的基础上，给出了方位密度的演化方程；将上述损伤理论应用于混凝土的损伤分析，研究了混凝土破坏的微观机制与宏观表现的关系及Griffith准则和Mohr-Coulomb准则的相似性问题，对修正的Griffith准则进行了改进。

The dissecting of samples in group2 were difficult. The root of pulmonary artery and ascending aorta failed to be unfolded because fibrous tissue was tough, right and left fibrous trigone were too firm to be solved by hand. Cardiac muscle fibers couldn't be stripped along myofibrillar trajectory since they were prone to break because of their friability.

组2的心脏解剖困难，表现为纤维组织坚韧，游离肺动脉非常困难；徒手无法松解左、右纤维三角，肺动脉和主动脉根部的游离非常困难；心肌纤维坚硬、质脆，解剖时容易断离成碎块，无法沿纤维走行方向剥离。

We have battled against the odds in a province that has become increasingly violent.

我们对在一个争夺日益激烈省的可能性。