查询词典 infinitesimal deformation

Through the analysis of characteristics in curve of deformation tests on the four kinds of rockmasses such as claystone, siltstone, feldspar-quartz sandstone and lithic sandstone underlain the dam foundation of Tingzikou Hydropower Station, it is thought that: the test deformation of thick lithic sandstone is mainly caused by slippage deformation of rock crystal lattice ; the test deformation of feldspar-quartz sandstone is mainly from small crevices in rock, compressive deformation of rock small holes and slippage deformation of rock crystal lattice; and the test deformation of thin layer claystone in which horizontal layer is developed and siltstone is mainly from compression deformation in interlayer, small crevices in rock, compression deformation of rock small holes and slippage deformation of rock crystal lattice.

通过对亭子口水利枢纽工程坝基下卧的黏土岩、粉砂岩、长石石英砂岩和岩屑砂岩等 4 种主要岩性的岩体变形试验曲线特征进行分析，认为：厚层岩屑砂岩的试验变形量主要来自于岩石晶格错动变形，长石石英砂岩的试验变形量主要为岩石内孔隙和空隙变形以及岩石晶格错动产生的变形，而层理较发育的薄层黏土岩和粉砂岩的试验变形量主要由层间压缩变形、岩石内孔隙和空隙变形以及岩石晶格错动产生的变形共同组成。

In the 1:250000 regional geological mapping of Yumenzhen, the authors studied deformation feldspar by long-short axis measurement method, compared with the deformation gravel, deformation amygdale, deformation relict long-short axis measurement, then found the both measurements were similar to deformation axis. It has been proved that deformation feldspar can be studied as to an area deformation characteristic of Yumenzhen.

在《1：25万玉门镇幅》调研的过程中，试以长石颗粒为研究对象，进行长短轴法变形测量，将其结果与相邻变形砾石、杏仁体和包体测量结果进行对比，发现它们具有相似的应变椭圆轴率，证实在变形花岗岩区可以用变形长石颗粒研究区域变形的特点。

According to the change regularity of deformation modulus, combining with the rock mass structure characteristic of region studied, using interpolation method, the deformation modulus of rock mass in 36# adit can be deduced. The average vertical deformation modulus of rock mass during 0-70 zone is 39Gpa, and the horizontal deformation modulus of rock mass is 51. 3GPa in nature stress state and 50.8GPa in engineering load state. The average vertical deformation modulus of rock mass during 70-140 zone is 32. 2Gpa, and the horizontal deformation modulus of rock mass is 41GPa in nature stress state and 42. 6GPa in engineering load state. It will be a good reference of engineering design and evaluation.

9根据节理岩体变形模量变化规律，结合研究区岩体的结构特点，采用插值的方法对36号平硐岩体进行变形模量的推测，得到0-70段岩体的平均铅直向的变形模量为39GPa，水平向的变形模量：天然应力状态下为51.3GPa，工程荷载作用下为50.8GPa；70-140段岩体的平均铅直向的变形模量为32.2GPa，平向的变形模量：天然应力状态下为41GPa，工程荷载作用下为42.6GPa，这为工程设计、评程设计、评价等提供了必要的参考。

Second, on the basis of classical girder theory, girder element stiffness matrix considering shearing deformation is deduced, the method of calculation of value of shearing deformation is illustrated, and how far effect on inner force and deformation considering sheering deformation is discussed. Through comparison inner force and deformation between considerations in shearing deformation and not, several results are achieved and several suggestions to calculation are pointed out.Third, prestressed reinforcement is considered in the paper.

其次，在经典梁理论的基础上，本文推导出考虑剪切变形的平面梁和空间梁单元刚度矩阵，阐述了剪切变形系数的计算方法，讨论了在不同箱梁截面高度情况下，剪切变形对结构内力值和变形值的影响，并与不考虑剪切变形影响的结果作比较，得出有关结论，并对工程设计计算做出了一些建议。

The micro-indentation results show that both theories for finite and infinitesimal deformation agree well with experimental data by suitably chosen material lengths. The results for fracture show that the difference between finite and infinitesimal deformation only exists in the vicinity very close to crack tip.

结果显示通过改变材料常数大变形和小变形都可以和微压痕实验结果吻合好，大小变形理论在断裂问题上的区别仅仅存在于非常靠近裂纹尖端处。

Chapter 1 gives the background,current research process of relatedproblems and summarizes this thesis\'s work.In chapter 2,we study the Brownian motion with holding and jumping on the boundary.We use the resolvent method to obtain the infinitesimal generator because the domain of the infinitesimal generator is essentially the same as the range of the resolvent.Knowledge of this range and of the differential operator determines uniquely the infinitesimal generator.Since the semigroup generated by the DHJ is not strongly continuous,to use the nice property of strongly continuous semigroup in analytic theory,in chapter 3 we show that the dual is strongly continuous and derive ergodicity through spectral radius formulas and finally obtain the ergodic theorem by duality. In chapter 4,we discuss a class of a more general process---one dimensional Feller diffusion proposed by W.Feller in 1954.The Feller diffusion allows the possibility of jumps from boundary to boundary,not only from boundary to the interior.We give the stationary distribution of this process.

具体地，本文的结构如下：第一章给出了问题产生的背景，研究现状及本文的主要工作；第二章研究了在边界上逗留后随机跳的布朗运动，我(来源：3dABC论文网www.abclunwen.com)们用预解算子的方法得到其无穷小生成元，因为无穷小生成元的定义域本质上就是预解算子的值域，知道这个值域和微分算子形式就能唯一地决定无穷小生成元；由于DHJ过程产生的半群不是强连续的，为利用强连续半群的一些漂亮性质，在第三章中我们证明其对偶半群是强连续的，然后由谱半径公式得到遍历性并且最后由对偶得到遍历定理；第四章讨论了Feller在1954年引入的更广的一类过程----一维Feller扩散过程，Feller扩散过程允许有从边界到边界的跳发生，即不仅仅局限于从边界到内部的跳，在这一章中，我们给出了一维Feller扩散过程的平稳分布；在第五章，我们讨论了一些相关的问题，给出了DHJ过程对应的PDE问题及特征值与收敛速度的关系。

This paper discusses such problems which are easily solved incorrectly in limitedteaching as, segment function is uncertain not to be elementary function, elementary function is un-certain to be continuous in its field of definition, unlimited variable is uncertain to be infinity, theinfinitely many infinitesimal is uncertain to be infinitesimal, the multiplication of two non- infinitesi-mal is uncertain not to be infinitesimal.

1分段函数不一定不是初等函数我们知道初等函数的定义是：常数和基本初等函数经过有限次的四则运算或复合，用一个解析式表示的函数叫初等函数。教材中的定义强调的"有限次"和"一个解析式"，使很多同学产生"非有限次"和"非一个解析式"的函数就不是初等函数的误解。例1f=ceox，s xx！0为分段函数，但也可以表示为f=e12(x-x2")+cos12(x+x2#"$)-1，故为初等函数。

In this paper we combining connecting tunnel project of Subway Line 4 at Xidan-lingjing bystreet in Beijing. To aim at the difficulties of building large-span connecting tunnels in the fine sand layer, through roads and underground pipelines, construction nearby buildings and other project difficulties. Using theoretical analysis, numerical simulation, field tests and other research methods to comprehensive and systemic research the stratum deformation mechanism and process control techniques of shallow excavation method, and a series of results were obtained. Firstly, use the stochastic media theory to analyze the stratum deformation mechanism, concretely analyze the analytic equation of surface horizontal displacement and deformation which were caused by the excavation of single-hole and double-hole tunnel, and further discussion on ground settlement, vertical deformation, surface horizontal displacement and horizontal deformation. Analyzing the main influence factors of surface displacement, and combined with practical work to proof the theory which was applied to shallow buried single-hole tunnel in fine sand layer was scientific.

本文结合北京地铁四号线西单～灵境胡同渡线隧道工程，针对在粉细砂地层中修建大跨渡线隧道，下穿道路和地下管线，临近建筑物施工等工程难点，利用理论分析、数值模拟、和现场监测等多种研究手段，对浅埋暗挖隧道地层变位机理及控制技术，深入地进行全面和系统的研究，并取得以下成果：(1)引入随机介质理论，对地层变位机理进行了分析，具体分析了单、双孔隧道开挖引起的地表位移及变形的解析方程，并深入探讨了地表沉降、垂直变形、地表水平位移和水平变形的特点，同时分析了影响地表位移的主要因素，并结合工程实例，佐证该理论应用于粉细砂地层浅埋暗挖单孔地铁隧道的科学性。

The deformation mechanism is mainly the single-slip and cross-ship, the fracture mechanism is mainly the congregation of transgranular micro-hole, and large uniform deformation occurred before tough fracture, and therefore, the ability of plastic deformation and the mechanical properties of the material were remarkably improved. These fully indicate that the new melt-treatment developed in this work is an effective and advanced technique, and further testify that the improvement of metallurgical quality of the material is the key to enhance its mechanical properties, especially its plastic deformation performance. The results of tensile and compression tests at elevated temperature also indicate that the suitable hot-working temperature range is 400～450℃. 4. A steady-state plastic flow exists during the plastic deformation of the aluminum sheet used for pressure can at elevated temperature. A hyperbolic sine relationship can be satisfied between the steady-state flow stress and strain rate by introducing an Arrhenius term which involves some thermal activation parameters, i.

压力罐用铝材中的主要冶金缺陷为Al〓O〓夹杂物、气孔及富Fe杂质相；高效熔体处理显著改善了材料的冶金缺陷的存在形态，使含杂量明显减少、夹杂物尺寸变细小且分布均匀，富Fe杂质相变为细小、分布均匀的团球状或短棒状的复杂化合物，同时也明显细化了结晶组织；此外，由于高效熔体处理有效地减少了材料中裂纹萌生源数量，因而改变了材料的塑性变形微观过程及断裂方式，主要以单滑移和交滑移进行塑性变形，断裂方式为穿晶微孔聚集型，韧性断裂前产生了大量的均匀变形，不易出现变形失稳，从而显著提高了罐用铝材的塑变能力和力学性能。

We found that the mean square error of difference value between GPS monitoring deformation and the second-order leveling surveying deformation is less than 1 mm, and there is a smaller systematic error between the ellipsoidal height deformation and the second-order leveling deformation ,whose value is about 0.5~1 mm; however, this system error does not affect the outcome of vertical deformation monitoring.

结果 得到的GPS监测变形量与水准测量变形量差值中误差＜1 mm，且GPS所测大地高变形量与二等水准测得的变形量间存在一个较小的系统偏差，其值在0.5~1 mm之间，该系统偏差不影响垂向变形监测的结果。

Although translator has turned from being a crystal ball by which the original culture can unrestrainedly penetrate to another crystal ball by which the target culture can freely traverse, the translator's personal embodiment, in the process of cognitive act, are still absent in translation studies. Translators are still subjects without body or simply disembodied subjects.

译者虽然由原语文化可以自由穿透的玻璃球变成了译语文化可以自由穿越的玻璃球，但译者认知过程中的个体体验在翻译研究中依然缺席，译者依然仅仅是一个没有躯体体验的主体。

Chillingly, he claimed our technology is 'not nearly as sophisticated' as theirs and "had they been hostile", he warned 'we would be been gone by now'.

令人毛骨悚然的，他声称我们的技术是'并不那么复杂，像他们一样，和"如果他们敌意"，他警告说，'我们将现在已经过去了。