A path independent of the J-integral and the stress, strain on the crack tip are discussed.
讨论了J积分的路径无关性和裂尖应力，应变奇异性。
The algorithms are classified into two types: path following algorithms and path independent algorithms.
文中将去包裹算法分成两大类：路径跟踪算法和与路径无关算法。
OK, so the proof, so just going to prove that the line integral is path independent; the others work the same way.
那么这个证明，只需证出线积分与路径无关的，其它的也是用同样的方法。
And, basically, we say that these properties are equivalent being a gradient field or being path independent or being conservative.
根本上说，以下性质是等价的，一个向量场是梯度场，等价于积分与路径无关，也等价于向量场是保守的。
Some foreign scholars developed the concept of Forming Limit Stress Diagram (FLSD) on the basis of FLD. FLSD is considered as strain path independent.
一些国外学者在板料成形极限图的基础上提出了板料应力成形极限图(FLSD)的概念，并认为板料应力成形极限图具有与路径无关的特点。
Aim to establish the path independent integral and its dual form of energy type, and to determine the singularity order of stresses near the crack tip in plane quasicrystals.
目的建立平面准晶中能量型路径守恒积分及其对偶形式，并确定准晶裂纹体裂尖应力奇异性阶数。
OK, so, we've seen that if we have a vector field defined in a simply connected region, and its curl is zero, then it's a gradient field, and the line integral is path independent.
一个向量场,如果定义在单连通区域并且旋度为零，那么它就是一个梯度场，并且其上的线积分与路径无关。
Journalist from Egemen Kazakhstan (Independent Kazakhstan) : Would you comment on the path of the SCO since its establishment 5 years ago?
哈萨克斯坦《主权哈萨克斯坦报》记者：你如何评价上海合作组织成立5年来走过的道路？
Either way, for independent thinkers, the journey itself is the primary reward and no external factor can take away the pure joy they derive from following their own path.
对于独立思考的人来说，任何一条路本身就是最大的奖励，没有任何外来因素能够攫取他们在走自己的路的过程中的愉悦。
Think of this as a separate independent path of execution for the time being. This will be known as the broker process.
暂且请将上述代码看作是产生了一条单独的执行路径，下文将称之为broker进程。
Whenever the work that is done - by a force is independent of its path — it's only determined by the starting point - and the end point — that force is called a "conservative force."
不管何时一个力做功，与轨迹无关-，只取决于开始点，和结束点-，这个力被称为，守恒力。
The result shows that FLSD is independent of strain path, and that the FLSD under different strain paths are almost the same curve according to the same instability theory.
结果表明，成形极限应力图不受应变路径影响，对于同一失稳准则，在不同加载应变路径下几乎为同一条曲线。
EESSPA algorithm can avoid the information explosion by distributed control. Its computation complexity is independent of the number of hops along the path.
EESSPA算法的特点是采用分布式控制，避免了由于集中式控制导致的信息爆炸，并且算法复杂度与途经链路数无关。
External directories outside this root aren't displayed, but the connector tracks the file status of any file independent from the path where it resides.
在这个根目录之外目录不会被显示，但是连接器会追踪每个文件的状态无论文件是存在哪的。
Based on empirical study and standardize research, this paper demonstrates that independent GVC model is the dependable upgrading path for Chinas automobile industry.
本文通过实证和规范研究论证自主GVC模式是中国汽车产业升级的可靠路径。
Such concepts as independent triggering cycle, dependent triggering cycle, activation path, inhibited activation cycle and inhibited activation rule are presented in this paper.
本文提出了独立型触发环、非独立型触发环、活化路径、禁止活化环、禁止活化规则等概念。
To question any of this is to reject the aphorism "Obedience is the only path to happiness," which here supercedes independent thought.
任何问题，这是拒绝格言“服从是唯一的道路，以幸福”，这在这里取代独立思考。
Besides the manual control mechanism, the independent patrol ability is also essential according the security robot design. We did a lot of experiment on the path planning.
除了手动控制外，机器人自主巡逻也是安保机器人的重要功能，我们针对路径规划，开展了一系列的实验。
The J integral is path-independent for the short time creep and long one, while in the transition period, it is weakly path-dependent.
积分在短时蠕变和长时间蠕变条件下是路往无关的，而在过渡蠕变时期，其与路径也只是弱相关。
The total correlations between independent variable (X) and dependent variable (y) were divided into their component parts with the method of path analysis.
还利用了通径分析方法将自变量(X)与依变量(Y)问的总相关分剖为其组成部分。
In this paper the theorem in which a curve integral is independent of the integral path on a single connected region is generalized.
本文把在单连通区域上成立的曲线积分与路线无关性定理推广到复连通区域。
The expression of energy release rate is deduced by means of the path-independent M-integral, and corresponding numerical results are given.
利用与路径无关的M积分导出能量释放率表达式并给出相应的数值解。
While FLSD, which is stress-based and independent of strain path, has become the hotspot in this field.
而以极限应力构成的成形极限应力图FLSD由于不依赖加载应变路径，已成为目前研究的热点。
The direction of plastic strain increment is nearly independent of the stress path. The shape of yield sur- face on hardening e…
塑性应变增量方向与应力路径没有很大关系，以等塑性体应变为硬化参数的屈服面形状也是椭园。
The direction of plastic strain increment is nearly independent of the stress path. The shape of yield sur - face on...
塑性应变增量方向与应力路径没有很大关系，以等塑性体应变为硬化参数的屈服面形状也是椭园。
Phase unwrapping is independent to path in ideal condition. But practical situation is complex; many phase-unwrapping methods have been put forward.
在理想情况下，相位展开结果与路径无关，但实际情况复杂多变，已经有很多的相位展开方法被提出来。
But for non-connected pupil, the path-independent phase unwrapping inside MGS is invalid owing to fake value of the points located in obstructed areas of pupil.
但当传感非连通域复杂光瞳时，由于受瞳内遮挡区域的伪包裹相位值影响，路径无关型解包裹算法失效，从而导致MGS算法迭代失败。
This enables you to provide a path that is independent of the file structure of the build computer.
这可让您提供与组建电脑档案结构无关的路径。
The exceedingly independent -- if not downright antisocial -- might follow the example of Natalia, who writes a travel blog called No Beaten Path.
特立独行的人们（如果还不是彻头彻尾的反社会的话），也许该学学娜塔莉亚的事迹。她撰写了一篇名为《无人涉足的小径》的博客。
The constitutive model is developed to have a stress path-independent work-hardening parameter based on the modified plastic strain energy concept.
有限元解析中所采用的砂土本构模型以修正塑性应变能量为硬软化基本参量，它可以较为精确地模拟砂土的应力路径效果。
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