j integral 中文意思是什麼
j integral
解釋
j 積分-
The integral equations governing the three - dimensional viscous flow inside the turbo - machinery in the rotating coordinate system are presented in this paper, the viscous effects are simulated by the distributed body force described by professor denton j. d. the time - marching method and explicit finite volume difference scheme are employed to solve the flow inside the turbo - machinery
本文給出了相對旋轉坐標系下葉輪機械內部三維粘性流動的守恆型積分型方程組，利用dentonj . d .教授的粘性體積力法來模擬粘性對葉輪機械內部流動的影響，採用時間推進法和有限體積差分格式對葉輪機械內部的流動進行求解。 -
Because both of ctod and j - integral can be used to evaluate structure security, there must be a relationship between them, this paper probes the relationship between ctod and j - integral along with their critical value c and jic on the basis of the fruits from the original
由於ctod和j積分都可以作為結構安全評定的參數，它們之間必然存在著一定的聯系，本文在前人研究成果的基礎上，對ctod和j積分及其特徵值_ c和j _ （ c ）的關系進行了探索。 -
Ctod ( crack tip opening displacement ) and j - integral are two important parameters in elastic - plastic fracture mechanics
Ctod （ cracktipopeningdisplacement ）和j積分是彈塑性斷裂力學研究方法中的兩個重要參數。 -
This paper elaborates ctod and j - integral completely beginning with the basic concept of the two parameters, moreover, it performs an easy review to the relationship between them along with the computational methods and experimental means respectively
本文從ctod和j積分的基本概念入手，對這兩個參數進行了全面闡述，並且對它們之間的關系問題以及各自的計算方法和試驗方法做了簡單的回顧。 -
The main purpose of this paper is to study crack growth rate of a class of nonlinear viscoelastic materials under the condition of constant load and small - strain. in this paper : the new test program is raised by referencing the existing test programs and by our trial and error ; in the new test program, facilities involved in the nonlinear viscoelastic crack tests are relatively few, the test process is relatively simple and the data obtained from the experiments are credible. on this basic, the calculation of j integral of nonlinear viscoelastic double cantilever beams specimens and the parameter of fracture work of corresponding nonlinear viscoelasticity are derived
具體成果包括： 1 、證實了雙懸臂梁試件用於非線性粘彈性裂紋擴展實驗研究的優點：雙懸臂梁試件在實驗中能觀測到的擴展過程持續時間比較長，在計算j積分時，計算方法簡單； 2 、得到了改性聚丙烯材料用於非線性粘彈性裂紋擴展實驗的兩種有效的試件構形和相應的試件尺寸；採用不斷改善夾具的方法使得加載穩定； 3 、經過連續四個多月的時間得到了一組有用的實驗數據； 4 、得到了裂紋長度與時間的關系、裂紋擴展速度與時間的關系、裂紋擴展速度與裂紋長度的關系。 -
In the first chapter, we obtained weighted norm inequality on the commutators, by proving a variant of sharp function estimates ; j. orobitg and c. perez introduced ap weights for nondoubing measures and proved weighted norm inequality of c - z singular integrals. in the second chapter, we obtained weighted inequalities of fractional integral and its maximal function with ap ( u ) weights for nondoubing measure ; e. sawyer obtained a weak type double weights inequality for fractional integrals in [ 13 ]. in the third chapter, we generalized the sawyer ' s result for non - doubling measures
本文第一章通過證明一個變形的sharp估計，從而得到奇異積分交換子的加權有界性； j . orobitg和c . p rez在文[ 10 ]中引入了非倍測度的a _ p權理論並證明了c - z奇異積分的加權有界性，本文第二章得到了分數次積分運算元和分數次極大函數在非倍測度下a _ p （ ）權的加權估計； e . sawyer在文[ 13 ]中得到了分數次積分的一個雙權弱型不等式，本文第三章把e . sawyer的結果推廣到非倍測度的情形。 -
Abstract : this paper developed time domain integral constraints on error response for siso feedback control systems caused by nominal plant ' s near cancellation of stable pole - zero near the j - axis. these integral constraints should be satisfied by any feedback control systems. these integral constraints give new insight into the inherent trade - offs. it will result in the settling time longer or the infinite norm of the error response larger when there are near cancellations of stable pole - zero near the j - axis. hence, when feedback control systems are designed, it is necessary to avoid the compensator ' s poles and zeros nearly cancelling the nominal ' s zeros and poles ( even if these poles and zeros are stable )
文摘:導出了單輸入單輸出反饋控制系統誤差響應基於名義系統穩定的零、極點近似相消的時間域積分約束，此積分約束是任何反饋控制系統均應滿足的.這一約束給出了單輸入單輸出反饋系統固有折中的新的觀點.名義系統穩定的零、極點近似相消的存在導致反饋控制系統的調節時間延長或者誤差響應的無窮范數變大.因此，在反饋控制系統設計中，盡量避免補償器的零、極點與名義系統的極、零點近似相消（即使這些零、極點是穩定的） -
A new method for calculating the strain energy release rate of delamination crack propagation at an interface between dissimlar materials was suggested by using the j - integral with a small flat rectangular contour near the crack tip
提出了一種通過特定的扁平小矩形路徑j積分，計算電子封裝中異質界面分層裂縫擴展能量釋放率的新方法。 -
J - integral has noting to do with the integral line, so it can evade the complex stress - strain field near the crack tip, moreover, j - integral is a stress - strain field parameter with clear definition and close theory, so it is very popular to the field of mechanics
J積分具有與積分線路無關這一特點，故可避開裂紋尖端處極其復雜的應力、應變場，並且j積分是一個定義明確、理論嚴密的應力、應變場參量，因而受到了斷裂力學工作者的青睞。 -
The relationship between j integral of nonlinear elastic double cantilever beam specimens and crack growth rate of nonlinear viscoelastic double cantilever beam specimens is derived. 7. predictions of theory and results of experiments are compared, and what cause error is discussed
5 、計算了改性聚丙烯雙梁對應的回復彈性j積分；得到裂紋擴展速度實驗數據與j積分的關系圖； 6 、推導了非線性回復彈性雙梁j積分與非線性粘彈性雙梁裂紋擴展速度的關系式；用理論公式預測了裂紋擴展速度理論值與j積分的關系圖； 7 、最後把理論預測和實驗結果做了比較。 -
Because the calculation of j - integral is much simpler than other method, and the multilayers and interfaces are ubiquitous in microelectronic packaging structures, it is expected that this method will be widely used in the calculation of the strain energy release rate in high density electrical packaging, especially
並通過實例證明，此新方法對于界面分層問題是可行的。由於j積分計算十分簡便，因此扁平小矩形路徑j積分方法有望在電子封裝分層能量釋放率計算中得到廣泛的應用。 -
The strain energy release rates g near crack tip under different conditions were calculated by employing three methods of the fracture mechanics ( j - integral, straightforward method and crack tip opening displacement method )
並在有限元模擬中採用三種不同的斷裂力學方法（裂縫頂端開口位移方法、直接方法、 j積分方法）計算了焊點斷裂與否時的能量釋放率g 。 -
A theoretical study of input and output properties of four - level solid laser was performed according to the velocity equation, and the important role of the overlap integral j, was noticed and made a fully usage in optimizing the end - pumping solid state laser parameters such as : rod length > pump position pumping and oscillating beam waist size
從四能級速率方程出發，理論推導了ld端面泵浦的固體激光器的輸入輸出特性，並指出重疊積分j _ 1對激光器輸出特性的極大影響，從而對其在不同泵浦條件下進行分析並以此得到端面泵浦條件下固體激光器的最優化設計參數的選取方法。 -
A finite element analysis ( fea ) was eventually conducted, using mori - tanaka model and j - integral, to further explain the toughening mechanisms and fracture behaviour of the particle interleaved composites. the aim of the analysis was to examine the influence of the particle concentration and size, and the interaction between the particle and the crack tip. fea results indicate that interlayer zones can effectively lower j - integral and stress around the crack tip, and the high stress distribution in the region close to the interface can be the driving force for interfacial failure
本文的最後還藉助于有限元方法對層間增韌復合材料進行了宏觀和細觀斷裂韌性分析，基於mori - tanaka等效夾雜理論，計算了顆粒含量和尺寸對j積分的影響，有限元分析的結果同樣表明層間增韌可以有效的降低裂紋尖端應力水平，並暗示界面是可能存在的失效原因，所進行的數值分析起到了進一步支持和解釋增韌機理的作用。 -
The weighted number of solutions of equation, r ( b ), is expressed as the sum of a integral on [ 0, 1 ] and a remainder term. using the circle method, the integral on the interval [ 0, 1 ] is divided into the integrals on major arcs and minor arcs respectively, j and j. the section 3 gives a transformation for sj ( a ) and simplifies /
把三次方程的加權解個數r （ b ）表示為[ 0 ， 1 ]上的積分加上余項，然後利用圓法，把區間[ 0 ， 1 ）上的積分變成優弧和劣弧的積分和第三節，給出s _ i （ ）的一個變換，並化簡把的主項被分成m _ 1 ， m _ 2和m _ 3 -
For the polymer showing time - dependent character in many situations, the viscoelasticity should necessarily be taken into account in the general model. further, as the conventional j integral is no longer valid for hydrothermal materials cases, investigations on new energy - type fracture criter ia are specifically needed
此外，在含濕、熱效應的高聚物材料中，傳統的粘彈性或彈性材料的斷裂判據不再適用，所以，對該問題進行研究也是十分必要的。 -
An additional experiment is performed, and the weld specimens and heat effected zone specimens of dh36 steel are researched, through which the outcomes from the formulas of the standard and from other formulas is compared, which demonstrates the validity of standard test means for ctod and j - integral
另外還進行了一個附加試驗，對具有不同尺寸的dh36鋼的焊縫試樣和熱影響區試樣進行了研究，將本文所用標準中公式的計算結果與其它經驗公式的計算結果進行了對比，進一步證明了ctod和j積分標準試驗方法的有效性。
分享友人