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。

The expressions concerning the moment of inertia and the angular momentum of the fluid outer core, the solid inner core and the Earth as whole has been given.

同时给出了液体外核、固体内核和整体地球的转动惯量张量和角动量的具体表达式。

Some important applications of structure matrix in the tensor product multilinear mapping are given. Compared with the method of matrix algebra knowledge, the proposed method enjoys obvious advantages.

给出了结构矩阵在解决张量积多重线性映射问题时的一些重要应用，经过与用矩阵代数知识解决此问题相比较对照，更显示出用结构矩阵解决问题的优越性。

This is based on the definition of tensor product over R〓= R〓 R〓, where R is a noncommutative ring.

这是建立在〓上的张量积，其中R是非交换环。

It is shown that the elements of the probability damage tensor matrix obey the normal distribution.

结果表明，眼前山铁矿南帮岩体概率损伤张量矩阵的元素均服从正态分布。

According to thermal conduction theories of anisotropic materials that are irradiated with continuously modulated laser, a photothermal measuring method about the thermal conductivity tensor and the orientation of the principal axis of the conductivity of arbitrarily opaquely anisotropic materials is given based on the theories of So(3) group rotation.

以在连续调制光辐照下的各向异性介质的热传导理论为基础，通过So(3)群转动理论，导出不透明各向异性介质的热导张量和热导主轴方向的光热测量方法。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。