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Constitutive model: Based on the energy principle of fracture mechanics, energy addition theorem and statistical theory of rock-mass structure, a constitutive model of anisotropic equivalent continuum is derived.

裂隙岩体的本构理论运用断裂力学能量原理和能量可加性原理及岩体结构统计理论,导出了裂隙岩体的各向异性等效连续介质本构模型,并对柔度张量和等效应力作了讨论。

An implicit Curve reconstruction method is proposed which represents the curve with all algebraic tensor-product B-spline,and minimizes the tension ofthe B-spline and the approximate geometric distance between the curve and the point set.

提出一种以代数张量积样条曲线作为几何表示形式,基于近似几何误差和薄板能量极小化的隐式重构模型。

In this paper,we propose a concept called interval implicitization of rational bézier surfaces,that is ,finding an interval algebraic surface with lower degree which bounds a given parametric rational bézier surface such that some objective function involving the width and the tention term of the interval algebraic surface is minimized.

本文提出有理Bézier曲面的区间隐式化的概念,即找到一条较低次的区间代数曲面使得给出的有理Bézier曲面落在该区间代数曲面内,并使得一包含区间代数曲面的宽度和张量项的目标函数达到最小。

A frame to construct a blending surface among quadrics with the algebraic tensor-product B-spline surfaces was presented. A C^1 continuous algebraic spline surface was obtained that very smoothly joined the given quadrics.

给出了一种应用代数张量积B样条曲面构造blending曲面的框架并详细讨论了二次代数曲面间blending曲面的构造方法。

Objective To explore the clinical value of MRI and MR diffusion tensor imaging in amyotrophic lateral sclerosis.

目的探讨常规MRI检查和MR扩散张量成像新技术在肌萎缩侧索硬化症中的临床应用价值。

The computation of conformal rotational vector from rotational tensor and angular velocity is also studied, and the linearized formulation of angular velocity and acceleration is given.

为便于将该理论应用到多体系统动力学的建模中,还讨论了如何从转动张量和角速度中提取相应的保角转动矢量;以及角速度和角加速度的线性化问题。

In order to get a true and simple description of anisotropism of fractures network, a new way called as OFT , which is based on the fractal theory, is advanced in chapter five.

在第五章,为了真实、准确、简单地描述裂隙系的各向异性,笔者从分形理论出发,提出了方向分维张量方法。

With the way of OFT, the author also study the relationship between the anisotropism and the geometrical distribution parameters of fractured rocks by analogy with that of fractures network caused by the computer, and some useful result is gotten.

通过计算机模拟裂隙网络,利用方向分维张量方法,本文研究了裂隙系的几何分布参数与其各向异性之间的关系,得到一些有意义的结论。

This paper established an approach, based on the superposition principle, for providing models and solutions for arbitrarily oriented fractures. So the anisotropism of fractured formations is estimated quantitly.

基于叠加原理,本文建立了裂缝网络的分析模型并推导出任意方位裂缝的渗透张量的表达式,据此可对裂缝性储层的各向异性进行定量评价。

The transform formula of partially polarized GSM beam in dispersive and absorbing media as well as in anomalously dispersive media is derived.

利用张量方法导出了部分偏振GSM光束在色散吸收介质和负色散介质中的传输公式。

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