查询词典 contraction of tensor

The basic theory of finite deformation is also studied in this paper's appendix, and the metric tensor for stress, strain and their equations between different configurations are derived.

本文还在附录中简要系统介绍了前人给出的有限变形基本理论，针对板料成形建立了应力应变度量张量及其相应的转换关系。

Here illustrate by examples on the method of choosing and determining physical base and space metric tensor in arbitrary curvilinear coordinate system, the results show clearly that this algorithm of matrix is correct, and show that the algorithm of matrix is really ...

并用示例说明在正交或非正交的任意曲线坐标系中选择和确定物理基及空间度量张量的方法，所得结果与文献[1]和[2]完全吻合，表明这一方法是令人满意的。

The 2PN equations of light ray in the solar-system have been deduced from the metric tensor and Christoffel symbols.

从度规和Christoffel记号出发推导太阳系中的2PN光线方程。

A method for choicing and determining physical base and space metric tensor in an arbitrary curvilinear (orthogonal and non-orthogonal) coordinate system is illustrated by examples.

通过示例说明，在正交或非正交的任意曲线坐标系中选择和确定物理基及空间度量张量的方法，得到了与以往文献吻合的满意结果。

Using the metric tensor ??

利用度量张量？

Space ; Cartesian coordinates ; non-Cartesian coordinates ; metric tensor ; natural base ; physicalbase ; helical ; parabolic cylindrical

空间；笛卡儿坐标系；非笛卡儿坐标系；度量张量；自然基；物理基；螺旋线；抛物柱面

To establish the constitutive equation of material, the metric tensor for stress , strain and their transformation equations between different configurations are derived, and basic theory of finite deformation as well as elasto-plastic deformation criterion are studied. By analyzing the applicability of different element models, four-node quadrilateral degenerated Mindlin isoparametric element is adopted because of its good versatility, and the element stiffness matrix is derived. The static implicit elasto-plastic finite element equation for complex skin stretch-forming is put forward based on Updated Langrange formulation.

本文首先系统地阐述了有限变形的相关基本理论，针对板料成形建立了应力应变度量张量及其相应的转换关系；介绍了材料的屈服准则、塑性变形强化规律、塑性流动规律以及加、卸载准则，并在此基础上建立了有限变形各向异性弹塑性本构方程；对板料成形的单元模型进行了分析，针对飞机蒙皮零件特点，采用通用性强的四节点四边形退化Mindlin等参壳单元进行成形模拟，并导出其单元刚度矩阵的具体形式；基于以上研究，以逐级更新Langrange描述的持续虚功率原理为基础，建立了率形式的复杂蒙皮拉形过程静态隐式弹塑性有限元方程。

Further, in thispaper, we discuss the operation for the graphs that have an ASD, and prove that the mixed product of circular graph has an ASD; Further more, in this paper we prove that the tensor product for two graphs which both have an ASD has an ASD.

进一步地，我们还探讨了可升分解的图的运算，证明了循环图的混合积可以升分解；更深入地，本论文还证明了两个可升分解的图的张量积可以升分解。

We carry out the computation by using GaussianO3, and we get data of electric dipole moment of molecule H2O in all directions when it is put in strong electric field and the data of microcosmic polarizability tensor.

我们通过使用高斯软件，运用量子化学中从头计算的方法，较全面的研究了水分子的各种极化性质，得出了水的微观极化率张量等定量的结果。

The first moment of quark transversity distribution defines the tensor charge of nucleon.

夸克的横向性分布的一次矩定义了核子张量荷。

I want to be a big fish in a small pond.

我要做一条在小池塘里的大鱼。

While the software functioned well, we did not feel the same about their customer support!

虽然该软件运行良好，我们没有同样的感觉他们的客户支持！