查询词典 contraction of tensor

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。

Classical yield criterions cannot be applied directly to Cosserat continua since the strain tensor and stress tensor in Cosserat continua are asymmetric.

Cosserat连续介质下的应力、应变张量具有不对称性，经典连续介质的屈服准则无法直接用于Cosserat连续介质。

Lassical yield criterions cannot be applied directly to Cosserat continua since the strain tensor and stress tensor in Cosserat continua are asymmetric.

osserat 连续介质下的应力、应变张量具有不对称性，经典连续介质的屈服准则无法直接用于 Cosserat 连续介质。

It's form is the contribution of the Reynolds stress tensor and magnetic fluctuating tensor.

主要的表现是：第一，Reynolds stress 张量和磁扰动张量的径向分量贡献给压强，引起太阳内部流体静力学平衡方程和太阳内部热力学变量的改变，从而导致温度、密度、内能、绝热指数以及绝热温度梯度等的变化。

Then a general expression describing the relation between effective stress coefficient tensor and equivalent connectivity tensor of pore is proposed; and the expression can be applied to isotropic media and also to anisotropic media.

分析了有效应力系数的物理机理及其主要影响因素，在此基础上，提出了等效孔隙连通率的概念，以此表征岩土类孔隙介质的结构和孔隙之间的连通性，建立了有效应力系数张量演化的普适性理论模型。

By the utilization of the symmetric characteristic of the tensor,algebra relation between the elements in the tensor and refraction index ellipsoid equation,an approach base on Attenuated-total-reflection technology was proposed for the measurement of the QEO coefficient of the organic polymer.

利用该张量的对称特性、各个元素之间的已知关系以及折射率椭球公式，本文提出了一种基于衰减全反射技术的测量有机聚合物二次电光系数的方法。

The small blue capacitor has very high chances to go fully shorted compare to electrolytic capacitor which is very rare.

小蓝电容器具有很高的机会去充分地缩短了比较电解电容器，这是非常罕见的。

In the Italian campaigns of 1513 and 1515, when the Swiss won the victories of Novara and Marignan, he acted as army chaplain.

在意大利的运动， 1513年和1515年，当瑞士赢得了胜利，诺瓦拉和marignan ，他担任军队的牧师。