可逆性

The main factors affecting the soil-structure interface behaviors were found experimentally and theoretically, including: 1 the thickness of the interface that is five to six times the average grain size of the soil; 2 the aeolotropy of interface, which is responsible for anisotropic response of the stress-strain response of the interface; 3 two physical states, including crashing and compression of the soil near the structure surface, which govern the stress-strain response of the interface strongly; 4 two shear deformation components due to sliding and constraint of the structure surface relative to the soil respectively, which forms the deformation of the interface; 5 the volumetric strain due to dilatancy, which is found to be composed of a reversible dilatancy component and an irreversible dilatancy component. 4. A unified constitutive model of the interface, based on new elasto-plasticity damage theory, was developed. It was confirmed to be effective for the conditions considering monotonic and cyclic shearing, coupling effect of shear and volumetric strains, evolution of physical state, micro-structure aeolotropy of the soil and the resulting aeolotropy of the interface as well as the three normal boundary conditions stated above. 5. 2D and 3D finite element formulations of the present model were derived and incorporated into the FEM codes. They were applied to the evaluation of practical engineering problems with different typical interfaces between soil and structure. The new model was shown to be reasonable and effective.

确定了粗粒土与结构接触面厚度约为5～6倍的平均粒径，首次揭示了接触面的细观结构异向性以及由此所引起的宏观剪切异向性，发现了在单调和往返剪切荷载作用下土颗粒破碎和剪切压密两种物态变化机制共同支配着接触面力学性质的变化，通过细观分析证实了接触面的变形可分解为一般同时发生的土与结构交界面上的滑移变形以及结构面位移约束范围之内土体本身的剪切变形两部分，观测到接触面受剪时表现出明显的相对法向位移，并可分解为可逆性和不可逆性两个分量；(4)建立了第一个能够统一地描述单调与往返剪切特性、剪应变与体应变耦合特性、细观结构和宏观剪切异向性以及土颗粒破碎等物态变化特性的土与结构接触面弹塑性损伤本构数学模型，并采用多种法向边界条件复杂加载路径的试验成果验证了新模型的合理性和有效性；(5)提出了新模型的二、三维有限元格式并结合实际边值问题进行了应用计算分析，比较了不同接触面本构模型对计算结果的影响，证实了新模型及其有限元格式不仅能够合理地描述土与结构接触面的主要力学特性，还能够较好地反映土体与结构物在接触面处的滑移、脱开等不连续现象。

By using the Jordan decomposition of the generator, the difference in terms of the autocorrelation function between the reversibility and the irreversibility is shown.

使用生成元的若当分解，给出了以自相关函数描述的可逆性和不可逆性之间的区别。

Cyclic voltammetry indicated that there were Cr→Cr, Cr →Cr oxidation reaction on anode, while there were Cr→Cr, Cr→Cr, Cr →Cr deoxidization reaction on cathode. The graphite electrodes treated by acid and heating could enhance the reversibility and kinetic of the electrode reaction. The nature graphite electrodes had been eroded during charge/discharge process, while the graphite electrodes by activation could avoide corroding by hexad chromium ion. The reversibility and kinetic of the electrode reaction of chromium ion on activation electrode had been increased, so which indicated that graphite surface augment oxygenous function corps which could increase electrode hydrophile capability.

循环伏安实验表明：铬液流电池的电极反应非常复杂，在阳极存在Cr→Cr，Cr→Cr的氧化反应，在阴极存在Cr→Cr，Cr→Cr，Cr→Cr的还原反应；热处理的石墨电极和重铬酸钾处理的石墨电极能提高电极反应的活性和可逆性；在充放电实验中未处理的石墨电极发生严重腐蚀；分别用这两种方法处理过的石墨电极具有防止六价铬侵蚀的功能；铬离子在活化处理过的石墨电极上的反应活性和可逆性增加，可以认为：重铬酸钾溶液活化处理和加热处理后的石墨表面的含氧官能团增加，电极亲水性增强。

In addition, the mass transfer process of main components in the heat pump cycle, such as a generator and an absorber, is analyzed, and the mass trasfer model, the relation of its separation effectiveness with the thermodynamic inconvertibility are described.

根据热力学第一、二定律，从理论上建立了描述该类热泵的数学模型。从热力学不可逆性原理出发，分析了热泵循环过程的热力学不可逆性引起的〓损失。

Then we found bijections between quadratic form finite automata and input memory linear automata which lead to a way to produce all weakly invertible or weak inverse quadratic form finite automata. In the last section of chapter three, we extend these results to a more general class of nonlinear finite automata (called qusi-quadratic form finite automata).

然后我们建立了建立全体二次型有限自动机与全体输入存储线性有限自动机之间的的一个一一对应L，由于L保持弱逆性（3.20定理），由此我们得到了产生全体可逆二次型有限自动机的方法：要产生一个具有某种可逆性的二次型有限自动机只需产生一个具有同种可逆性的输入存储线性有限自动机，然后作其二次型提升即可。

Establish integrated invertibility theory over it: By R〓R〓 transformation method, we solve the problem of deciding weakly invertibility and finding weak inverse, By founding the bijections between all quadratic form automata and input memory linear finite automata, we find a algorithm to produce all weak inverse quadratic form finite automata.

本文着眼于这些最基本问题，将有限域上的二次型和置换多项式理论引入有限自动机可逆性的研究，构造了一类由二次型构成的非线性有限自动机（3.6定义），称之为二次型有限自动机，我们在其上面建立了与线性有限自动机可逆性理论相对应的完整的可逆性理论：采用线性R〓R〓变换方法，解决了此类有限自动机的弱可逆性判定、求弱逆问题（3.10、3.12定理）、通过建立全体二次型有限自动机与全体输入存储线性有限自动机之间的保持弱逆性的一一对应，给出了产生全部可逆二次型有限自动机的方法。

In terms of the invertibility of symmetric systems, a sufficient and necessary condition is set up directly on the original systems which avoids using the quotient systems and is some easier than those up to now.

对于对称系统的可逆性问题，还避开了商系统，直接在原系统上建立起一个充要条件，这个条件比现有的可逆性条件要简单。

It is proved by this commutable diagram that the invertibility of a generalized symmetric system is equivalent to that of the quotient system, which makes the verification of the invertibility of generalized symmetric systems much easier.

利用这个交换图证明了广义对称系统的可逆性等价于其商系统的可逆性，从而使可逆性的检验大为简单。

The plastic deformation induced due to cyclic rotation of principal stress axes alone can be in the same magnitude as that due to shear with fixed principal stress axes. 2 The volumetric strain due to shearing of cyclic rotation of principal stress axes is found to be composed of a reversible dilatancy component and an irreversible dilatancy component. The former is characterized by its reversibility and is independent of past shear history, the latter by its irreversibility increases with the increase of cycle number yet its increase rate decreases with its accumulation. 3 The obvious non-coaxiality between directions of the principal stresses and principal strain increments is found and its degree depends largely on the change of shear stress component. 4 The intermediate principal stress has considerable effects on the deformation behavior of sands in the condition of cyclic rotation of principal stress axes. The accumulation rate of the irreversible dilatancy component increases with the increase of the intermediate principal stress parameter.

具有初始各向异性的砂土在纯应力主轴循环旋转排水条件下的主要变形规律为：①纯应力主轴循环旋转可产生与应力主轴固定单调剪切处于同一数量级的塑性变形；②纯应力主轴循环旋转引起的剪切体变包含可逆性剪切体变分量和不可逆性剪切体变分量两部分，其中可逆性剪切体变分量在一周内可完全恢复，基本与应力历史无关；不可逆性剪切体变分量随循环周数的增加呈单调增加，且增加速率随其自身累积值的增大呈减小趋势；③应变增量主轴与应力主轴之间的非共轴现象显著，且在一周内具有分段性；④中主应力对应力主轴循环旋转条件下砂土的变形特性有重要影响，不可逆性剪切体变分量的累积速率随中主应力系数的增加而增加。

Although classic neuroimaging features of RPLS with involvement of the posterior head regions are easily recognized, features that may generally be regarded as atypical were often present in our patients, such as significant anterior involvement, cortical lesions, recurrent RPLS episodes, foci of permanent injury, hemorrhage into lesions, and unilaterality (Figure 1). High signal intensity on T2-weighted image lesions can occur in regions other than the parieto-occipital areas, frequently involving the frontal lobes, basal ganglia, thalami, or brainstem.

可逆性后部白质脑病综合征典型的神经影像学表现为大脑后部受累，尽管这一点很早就被公认；但可逆性后部白质脑病综合征不典型的神经影像学表现，在本文的患者中则更常见，如：大脑前部明显受累、皮层出现病灶、可逆性后部白质脑病综合征再次发作、脑永久性损伤灶形成、病灶内出血、仅见单侧病灶（图1）；T2像常可于额叶、基底节区、丘脑、脑干等顶-枕叶以外的区域见高信号病灶。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。