equation of strain 中文意思是什麼
equation of strain
解釋
應變協調方程-
The fatigue behavior of strength, stiffness, and deformation of concrete is analysed systematically. the fatigue equation is established. the empirical expressions of the total longitudinal strain and the elastic modulus are given, and the relationships between the increasing rate of the total second - stage strain and the decreasing rate of the elastic modulus with the cyclic number are obtained
系統地分析了砼抗拉、拉-壓疲勞強度、剛度、變形規律；建立了相應的s - n關系，提出了縱向總應變、彈性模量的經驗公式，及其第二階段總應變增長率、彈性模量衰減率分別與疲勞壽命的關系式。 -
Centered on the investigation on the evolvement of permeability as well as the coupling action between seepage and stress, the following work is carried out : 1. a further examination is given to classical biot seepage theory to discover the basic assumption to form the coupling seepage equation, and discuss the variety of coupling equations between seepage and stress and their adaptabilities. the physical meanings, adaptability, testing method of seepage parameters used in equation of continuum are analyzed based on the experimental investigations on complete relationship between stress, strain and permeability of rock and engineering test on permeability of rock at different depth
本文圍繞巖石破裂過程中滲透性的演化規律及其滲流-應力耦合作用機理這一課題，開展以下方面的研究工作: 1 .對經典biot滲流力學做了進一步的考察，揭示建立耦合滲流方程的主要假設，討論了各種滲流與應力耦合方程及數學模型的適用條件，通過巖石應力應變-滲透率全過程實驗研究和不同深度巖體滲透率工程試驗研究，分析了連續介質模型耦合滲流方程參數的物理意義、適用性、測試方法。 -
According to the dynamic evolvement rules of the stress, strain and fracture distribution or fatigue cracking mechanism, fatigue equation and axle load conversion of the steel bridge deck asphalt mixture surfacing are proposed
依據鋼橋面瀝青混合料鋪裝體系復合結構的應力場、應變場和損傷場在疲勞過程中的動態演變規律以及疲勞裂縫的形成機理，推導出鋼橋面瀝青鋪裝層疲勞性能方程和車輛軸載換算公式。 -
Influential factors and behavior of concrete prism confined with cfrp have been studied, based on the effective confined concrete area with cfrp, the peak stress and peak strain of cfrp - confined concrete prism depend on, and calculating equation is put forward
此外本文還對碳纖維布約束混凝土的受力性能及影響參數進行了研究。基於碳纖維布有效約束混凝土的面積，在原有箍筋約束混凝土的模型的基礎上，提出了碳纖維布約束混凝土稜柱體應力-應變關系模型。 -
( 1 ) the statistical damage constitutive model for rock is improved basing on the hypothesis that the strain in the rock without damage is ideal to that in the damage rock. the hypothesis that all of the stresses in damage evolution equation are effective stresses is realized, and the proplem how to couple plastic strain to damage is solved
主要工作內容如下： （ 1 ）在假設無損巖石的應變和巖石總應變相等的基礎上完善了巖石的統計損傷本構模型推導，實現了損傷演化方程中全部採用有效應力假設和探討了損傷和塑性變形耦合問題。 -
This paper analyzes and explores stress strain model and principle of the project of concrete diaphragm wall after concluding other engineers and project practices and describing the seepage and deformation character of the plastic concrete used in the cofferdam of the second stage of the three gorges project. we analyze and forecast the change trend by using mathematics statistics regression, then we get the best regression equation. finished it, we used this way to the cofferdam of the second stage of the three gorges project. it proves that the method which i have introduce in this article is effective for the stability of concrete diaphragm wall and it is also a valid for supervising cofferdam security after using it in many projects
本文在總結前人和其他工程實踐的基礎上，結合三峽二期土石圍堰實例綜合分析塑性混凝土防滲墻的滲透和變形特性，對三峽二期圍堰砼防滲墻的應力應變模型、原理進行了分析、探討，在監測分析資料的基礎上進行數學統計回歸分析，並對變形進行預測，通過對砼防滲墻及堰體的應力應變監測數據進行數學統計回歸分析，得出了最佳回歸方程，並對三峽二期圍堰變形進行預測，達到了對圍堰安全性監測評價的最佳效果。 -
Based on the consolidation mechanism analysis of the warping clay under osmotic pressure, a finite strain osmotic pressure consolidation equation, of which the excess pore - pressure or void ratio was selected as dependent variable, was derived
首先，通過分析滲壓作用下的淤填粘土的固結機理，推導出以超孔隙水壓力，孔隙比為控制變量的有限應變滲壓固結微分方程。 -
In this article, several existing main compensation methods for the term of dynamic stiffening are reviewed ; describing method of material coordinate is introduced on the basis of the principle theorem of mechanics of continuum ; and the dynamic equation of flexible body is derived from nonlinear green strain tensor and kichhoff stress tensor, which are based on initial configuration
本文評述了現有的幾種主要的動力剛化項補償方法，根據連續介質力學的基本原理，引入物質坐標的描述方法，採用基於初始位形的非線性green應變張量和kichhoff應力張量推導柔性體的動力學方程。 -
The system equation is nonlinear due to the dependence of permeability on the volume strain of solid phase
由於滲透率與固體相體積應變相關，系統方程為非線性方程。 -
The influencing element and the equation of the shear strength of the no viscous moraine and gravel, and strain softening, dilatancy ( shrinkage ) were analyzed
分析了堆石料等無粘性粒狀土的抗剪強度影響因素和合理抗剪強度表達式，應變軟化、剪脹等性質。 -
The regressive equation that described the relationship between resistivity and strain are determined. to prove the applicability of the relationship, we composite the conductive composite material prepared by chopped carbon fiber mat with glass fiber reinforced composites of different strain character and study the relations of strain to resistivity under tensile stress
為證實該關系的適用性，通過將短切碳纖維氈制備的導電復合材料與具有不同應變性能的玻璃鋼復合，對拉伸狀態下應變與體積電阻率之間的變化關系進行了研究，並用多元回歸的方法進行了數值分析，確定了電阻率與應變之間變化的數學模型。 -
The paper studied controlling rotor vibration with the super - elasticity of sma and sfd, set up the new equation of sys tern vibration according to the stress - strain curve of sma in super - elasticity state, used the nonlinear theory and the dynamic stability theory to study the vibration of rotor controlled by sma, discussed the stability condition of the system, obtained the relationship of system parameters when bifurcation was appeared, supposed a method that improves the stability of rotor system and restrains vibration amplitude though changing parameters, and finally validated the effect of restraining vibration of the improved system through emulation
摘要研究利用形狀記憶合金的超彈性和擠壓油膜阻尼器控制轉子振動，利用形狀記憶合金在超彈性狀態下的應力應變曲線，建立了新的系統振動方程，運用非線性理論和運動穩定性理論研究轉子在形狀記憶合金控制下的振動狀態，討論了系統的穩定性條件，獲得系統發生分岔時系統參數之間的關系；並提出了通過改變參數來提高系統穩定性和抑制振幅的方法，最後通過模擬驗證了改進后的系統振動抑制效果。 -
With the method of the lie group transformation, the symmetry of the equation governing one dimensional finite strain consolidation is discussed and, from the point of the symmetry, the feasibility to obtain the analytical solution of these nonlinear partial differential equations is discussed. where - after exact or approximate analytical solutions focused on different consolidation problems are obtained, these including : under some assumptions of relations of the void ratio with coefficient of permeability and effective stress, the method of lie group transformation is applied to solve the non - linear partial differential equation of large strain consolidation of homogenous saturated clay soil in semi - infinite domain with the consideration of the material and geometrical nonlinearity during consolidation procession. the implicit exact solution without considering the effect of self - weight of soil is obtained
運用lie群變換方法討論了一維大應變非線性固結方程的對稱性，以及在該對稱性的意義下求解這類非線性偏微分方程解析解答的可能性，並就大應變非線性固結問題的多種情況求得了其完整的或者近似的解析解答，具體包括：基於有效應力與孔隙比以及滲透系數與孔隙比之間的關系的一些假定，採用李群變換求解考慮材料非線性和幾何非線性的半無限均質土體大變形固結非線性偏微分方程，得到了一個不考慮自重固結的完全解析解。 -
As the main method of measurement in the tests, some strain measuring points are arranged on the reinforced steel bars of the anchor bearing body. the changes of strain with different loading levels at their locations have been measured, through which range of influence and distribution of strain with loading in grout can be investigated, and corresponding distributions of axial force and bond stress are calculated according to hooke ' s law. making use of nonlinear curve fitting, distribution equation of bond stress of the fixed unit anchor length is achieved
試驗測試手段通過在錨索承載體上布設應變測點，觀測錨索在不同的荷載級別下的應變變化情況，對不同荷載級別下，單元錨索注漿體內應變的影響范圍及分佈規律展開分析，依據虎克定律計算出了其軸力與粘結應力的分佈；並對測試結果進行了擬合，得出了錨固段粘結應力分佈的擬合方程。 -
( 2 ) using craze density dcraze (, ) to illustrate the damage degree of material, considering strain equivalent hypothesis, non - linear visco - elastic constitutive equation of pmma taken into consideration of the operation of craze damage is arrived. the pmma sheet is loaded under different forces to validate the non - linear visco - elastic constitutive equation with damage. the result shows that the theory curves obtained by the nonlinear viscoelasticity constitutive relation agrees with experimental data considerably well
（ 2 ）用銀紋密度d _ （ craze ） （ ， t ）來描述材料的損傷度d ，在考慮應變等效性假設的基礎上，得到了pmma材料考慮損傷的非線性粘彈性材料的本構關系，運用此方程對材料在不同載荷水平下進行蠕變實驗，從而對蠕變條件下的應變響應進行模擬和預報。 -
To include the effect of strain rate and shock heating, johnson - cook strength model with grilneisen equation of state ( eos ) is used for the armature. arbitrary lagrangian - eulerian ( ale ) algorithm is adopted
對電樞使用了johnson - cook硬化準則的強度模型和gr neisen狀態方程，考慮了應變率硬化和溫度熱軟化的影響，並使用了任意lagrangian - eulerian演算法（ ale ） 。 -
Based on the damage evolution formation depicted by kachanov of brittle materials in unitary stress state, in this dissertation, the constitutive equation of nonlinear damage material is given, macroscopically, on the assumption that damage variable is exponential relation to strain, d = ( gy i k ) ", where g is the shear module, k is the damage module and the y is the effective strain, d is damage variable and n is hardening exponent
在kachanov描述的一維應力狀態下的脆性材料的損傷演化模型的基礎上，文中給出非線性損傷材料的本構方程，唯象地假設損傷變量與應變成冪次關系， d ~ * = （ g / k ） ~ n ，其中g為剪切模量， k為損傷模量，為有效應變因子， d為損傷變量， n為硬化指數。 -
When the membrane deforms parabolid, the geometry and equilibrium equation are educed in the condition of large displacement, large rotation and small strain. that is to say, the expression of strain should include quadratic term of displacement and equilibrium equation should be established after the structure had deformed
對于大位移、大轉角和小應變條件下的薄膜結構，在壓力作用下變形到拋物面時，推導出其幾何方程和平衡方程，即應變表達式應包括位移的二次項，平衡條件應建立在變形后的位形上。 -
Equation of strain compatibility
應變協調方程 -
However, the small - size particle - reinforced composite is more prone to deformation localization than the large - particle composite under impact loading. dislocation models considering the effects of reinforcing particles are used to determine c1, c2 and c3 related to effective strain gradient in the present work. based on taylor relation and the kinetics of dislocation multiplication, glide and annihilation, a strain gradient - dependent constitutive equation of mmcp is developed
發展了具有顆粒增強金屬基復合材料材料背景的三個位錯模型，結合顆粒增強金屬基復合材料代表元模型標定了這類復合材料變形中的等效應變梯度，並用這些結果成功地表徵了這類復合材料變形強化和局部化中的增強顆粒尺寸依賴效應。
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