定义了岩体宏观损伤张量和岩体损伤应变。
利用张量和模代数知识，构造出了自由丛的浸入子丛和任一模丛的浸入子自由丛。
The immersed subbundles of free bundles and the immersed free subbundles of any module bundles are constructed, by using theoretics of tensor and module algebra.
最后通过近似分析，给出了在小变形中等转动情况下转动张量和伸长张量的近似表示。
Finally, through the approximate analysis, the approximate representation on the rotation tensor and stretch tensor is proposed.
文中还利用新的角应变定义证明了转轴公式，组成了应变张量和证明了剪切虎克定律。
Using this new definition we deduce the transformation formulas for the rotation of coordinate axes, erect the strain tensor and verify the Hooke's law...
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。
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.
各向异性参数、单轴抗压强度和单轴抗拉强度是分布函数，其分布可以用微结构张量和加载方向表示。
A microstructure tensor and loading direction are incorporated in the distribution functions of anisotropy parameter, uniaxial compressive strength and uniaxial tensile strength.
协变和逆变的区别对于张量的计算尤为重要，这往往会出现混合方差。
The distinction between covariance and contravariance is important for computations with tensors, which often have mixed variance.
混凝土墙、钢梁和张量组成结构，用自身美学标识立面，在工业和现代的建筑外观上表现螺栓和焊接的结构。
Concrete walls, steel beams and tensors compose the structure that marks the facade with its own aesthetics, showing the bolts and welding on an industrial and contemporary look.
电场和磁场可以用统一的电磁张量来描述。
Magnetic field and electric field is described by unified electromagnetic tensor.
微分几何包含这样的概念：纤维束和流形上的微积分，特别是矢量与张量微积分。
Within differential geometry are the concepts of fiber bundles and calculus on manifolds, in particular, vector and tensor calculus.
统计获得了界面区的密度、压力张量及温度的分布，并且从分子层次观察分析了界面结构和动力学特性。
The density, the pressure tensor, and the temperature profiles are obtained. Meanwhile, the structure and the dynamic behavior of the interface are analyzed from the molecular level.
文中推导了双力偶点源模型震源机制解得出的震源参数和用地震矩张量反演得出的震源参数之间的转换关系。
In this paper, we deducted the transform relation between seismic source parameters from seismic fault plane solution in double couple point source model and from the seismic moment.
在电机内磁场三维有限元数值分析的基础上，采用虚位移和麦克斯韦张量两种不同的方法计算了电机的脉动转矩。
Based on three dimensional finite element analyses of magnetic fields, the cogging torque of a prototype motor is calculated using the virtual work and Maxwell stress tensor methods.
本文给出了非对称自变量的线性各向同性标量值和张量值张量函数表示定理的数学证明。
This paper gives a mathematical demonstration of the representation theorems for linear, isotropic scalar - and tensor-valued tensor functions of an asymmetric argument.
目的研究弥散张量磁共振成像(dti)在认识脑实质内肿瘤的生长方式和显微手术中的作用。
Objective To study the role of diffusion-tensor imaging (DTI) in realizing growing pattern and resection of intra-axial brain tumors.
计算了流体力学相互作用对转动扩散张量的二体贡献和首项三体贡献。
The two-body and leading three-body contributions of hydrodynamic interaction to the diffusion tensor are calculated.
引入了卡氏和张量混合积空间上的对称化算子和相应的分块矩阵上的混合矩阵函数，给出了关于它们的若干关系式。
Symmetrizing operators on mixed cartesian and tensor product spaces and corresponding mixed matrix functions on partitioned matrices are introduced. Some relation formulae on them are given.
给出了用系统的ABCD矩阵元表示的用于进行此坐标变换的表达式和等价的张量形式的WDF的坐标变换矩阵(WCTM)。
The expressions and tensor form coordinate transform matrix of the WDF (WCTM) is given and expressed in terms of the ABCD ray transform matrix elements of the system.
利用张量关系，推导了完整的缆索动力学方程组，包含了剪切和力矩的影响，并把它们表示在两种不同的常用坐标系中，以便查阅。
A complete set of equations for cable dynamics is put forward by using some tensor relations, in which the effects of shear stress and bending moment are included.
在研究二维八面准晶体的物理性质中，介电、压电、弹性、光弹、拉曼和布里渊张量是很重要的。
In studying the physical properties of two-dimensional octagonal quasicrystals, electric susceptibility, piezoelectric, elastic, photoelastic, Raman and Brilliuin tensors are important.
在处理包含惯性矢量和惯性标量的某些问题时，应用惯性张量则可作到与基无关。
The use of inertia dyadics enables one to deal with certain topics involving inertia vector and inertia scalars in a basis-independent way.
讨论了一个二维黑洞的能量应力张量的相干态表示，并将这样得到的结果与已有的结果进行比较和讨论。
In this paper we turn out the coherent-state expression of energy-momentum stress tensor in two dimensional Schwarzschild black holes. The results have been discussed as well.
目的：使用磁共振弥散张量成像和示踪技术进行三维脑白质纤维束示踪成像。
Use magnetic resonance imaging diffusion tensor data and three dimension tracing technique to trace brain white matter fiber tracks in this paper.
目的对职业紧张量表（OSIR）的信度和效度进行验证。
Objective To test reliability and validity of occupational stress inventory revised edition(OSI R).
目的应用MR扩散张量成像对脑室周围白质软化症(pvl)患儿和正常婴幼儿进行比较。
Objective To compare pediatric patients with periventricular leukomalacia (PVL) with normal children by using diffusion tensor MR imaging.
本文研究了复合材料的二阶型和三阶型张量多项式破坏准则的几种主要理论。
In this paper, some current anisotropic failure criteria in the forms of tensor polynomials are investigated.
研究表明：影响充液航天器姿态的因素除了机械臂运动的路径，还有机械臂运动的时间、机械臂转角的变化规律、液体的粘性、质量和惯性张量等。
Variations on which attitude of spacecraft dependents are time, law of motion of manipulators, liquid mass, liquid inertial tensor and damping coefficient besides paths of motion of manipulators.
利用以前提出的参数化的夸克传播子，计算了夸克的真空凝聚值和QCD真空的张量感应率。
Using the parameterized quark propagator proposed by us in our previous publication, the quark vacuum condensates and tensor susceptibility of QCD vacuum have been calculated.
在应力偏张量主值三角函数解的基础上，推导了应力空间内主应力和主方向的通用解析解公式。
Based on the stress partial tensor's trigonometric function answer, the main stress and main direction are established in parsed currency formula, and some special answers and examples are discussed.
在应力偏张量主值三角函数解的基础上，推导了应力空间内主应力和主方向的通用解析解公式。
Based on the stress partial tensor's trigonometric function answer, the main stress and main direction are established in parsed currency formula, and some special answers and examples are discussed.
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