generalized strain 中文意思是什麼

Based on the generalized variational principle of the modificatory variables and substituent shearing strain field interpolation of the bending theory of the mindilin plate, this paper brings up the nine - node mixed plate bending element and adopts the sap2000 ? a large - scale finite element analysis programs. by the examples, we find the precision of the method is satisfying

在對轉換層厚板進行局部有限元分析時，本文提出了基於mindlin中厚板彎曲理論的修正的二類變量廣義變分原理和替代剪應變場插值方法的九節點厚薄板通用的板彎曲單元，並採用了sap2000有限元程序。

In order to fully refect the geo - tech basic mechanics behaviors and to rationally explain the strain localization, this paper establishes the theory framework of gradient - dependent plastic model based on the theory framework of gradient - dependent plastic mechanics and in considering the plastic strain ' s gradient - dependence in double yield function, offers a kind of possible concrete pattern of the generalized plastic gradient model and analyzes each parameter of the model, particularly with the physical sense of " localized parameters " and the elements producing possible effect upon the model

為了較全面地反映巖土的基本力學性質，同時合理解釋應變局部化現象，本文基於廣義塑性力學的理論框架，在雙重屈服函數中考慮了塑性應變的梯度依賴，建立了廣義塑性梯度模型的理論框架，並給出了廣義塑性梯度模型的一種可能的具體形式，分析了該模型的各個模型參數，尤其是其中的「局部化參數」的物理意義和可能對其產生影響的因素。

The corresponding control equation is given. the control equation and boundary condition about the addiontional small deformation ' s effect caused by initial stress using virtual principal theory in cylindrical reference frame. generalized stress and strain and equivalent constitutive equation are given

第四章提出了描寫柱形薄殼中初應力的數值特徵，將應力的三維分佈轉化為二維分佈，給出相應的支配方程；在柱坐標系中，利用虛功方程建立了初應力對附加小變形影響的控制方程和邊界條件；給出了廣義應力、廣義應變及等效本構關系。

If the two - equation turbulence models employ a linear relationship between the reynolds stress and the mean strain - rate tensors, this relationship is known as the generalized boussinesq model, the two - equation models can be extended for a wider range of applicability by developing more advanced nonlinear algebraic relations between the stress tensor and the mean - velocity gradient and the turbulent scales, this is known as explicit algebraic stress models ( easm )

另一個是構成模型，即決定應力張量、應變率張量和兩個湍流尺度因子之間的函數關系式，它決定了雷諾應力。如果構成模型是線性的，則為boussinesq渦粘模型（ evm ） ，如果構成模型是非線性的代數關系式，則為顯式代數應力模型（ easm ） 。

( 2 ) because of t he variability of rock subjected to outside action, three new conceptions : postive damage basic damage and negative damage, are suggested, which can deal with the condition that rock density became large. ( 3 ) the present damage variables based on ct number mostly include ct average number of the rock without damage, which is difficult to measure, so a new damage variable, which includes the average ct number is proposed, on the other hand, strain equal theory is generalized because the one put foreword by lemaitre is not good enough to use. ( 4 ) a axial damage constitutive equation is proposed and testified. ( 5 ) with the circle times, the damage propagation laws of two different rocks, subjected to circle of freezing and thawing, are studied, and in the analysis process, traditional analysis method including average ct number and is used, some important conclusions are reached : inner damage of soft rock containing a large mount of apertures is largely propagating with the time increasement of circle, however, at the preliminary time, the hard rock containing a small mount of aperture is a little propagating, at late time, the influence become large ; ( 6 ) zone separation and statistics frequency put forward is used to analysized the three different damage propagation in the open circumstance, when they are subjected to the different circle times of freezing and thawing, in which the temperature variability is linear, different freezing rate, and different freezing temperature, and no water is supplied during the test

在研究過程中本文主要做了以下工作： （ 1 ）針對巖石損傷變化較小時，運用ct均值和方差分析不方便的缺陷，本文提出運用對ct數范圍劃分區段的方法，根據各區段統計頻率的變化規律來分析損傷擴展狀況； （ 2 ）針對巖石受到外部作用的多變性，本文提出了基準損傷，正損傷，負損傷的概念，在某種程度上考慮了巖石受到外部作用時的壓密情況； （ 3 ）現有的基於ct數的損傷變量大多需要用到巖石基體的ct均值，這實際上是很難觀測到的，因此本文建議了一個可運用巖石初始狀態ct均值的損傷變量，由於現有的勒邁特教授應變等價原理使用上的不便，本文在其基礎上進行了推廣； （ 4 ）建議了一個可用巖石初始狀態ct數和彈性模量的單軸損傷本構方程，並用算例進行了驗證； （ 5 ）對兩種不同巖石在開放環境下受到凍融循環作用且融化過程中補水時，內部損傷隨凍融循環次數增加的擴展規律進行了探討，主要運用了常規的ct均值和ct方差的分析方法進行分析，試驗發現：對于孔隙率和含水率較高，密度和強度較低的軟弱巖石，凍融循環次數對損傷結構的擴展有明顯的影響，而對于孔隙率和含水率較低，密度和強度較高的硬巖，凍融循環次數對其損傷結構擴展初期由於含水率低的原因，影響不是太大，而後期由於水補給后，含水率較高的原因，凍融影響逐漸增大； （ 6 ）運用了本文提出的區段劃分和統計頻率的方法，深入地分析了開放環境下的線性溫度變化的凍融循環次數，凍結溫度，凍結速度不同巖石作用時，其內部損傷隨凍融循環次數，凍結速度和凍結溫度變化的擴展規律，需要指出的是除了在試驗前飽水外，凍融過程中沒有補水。

The generalized plastic mechanics is not adaptable to explain the geo - tech strain localization

摘要廣義塑性力學不適宜於解釋巖土應變局部化現象。

The 3 - d strain field is formulated based on the concept of decomposition of the rotation tensor and is given in terms of one - dimensional ( 1 - d ) generalized strains and a 3 - d warping displacement

基於旋轉張量分解的概念，得到了由1維廣義應變與3維翹曲位移表示的3維應變場。

The elastic solution for elastic - plastic problem is based on model theory of elastic - plasticity and deformation theory of plasticity. with the original data which embodies the stress state of complicated structure at elastic phase and is attained by experiment or calculation, according to the similarity theory between elasticity and plasticity and generalized stress - strain material curves, and using new means and new techniques, this method and change the elastic value into plastic value correspondingly

結構彈塑性分析的彈性解法是以彈塑性力學的模型理論和塑性力學形變理論為基礎的，具體做法是利用實際工程中由實驗或者計算等方法獲得表徵復雜結構彈性階段應力狀態的原始數據，根據彈性力學和塑性力學方程的相似關系和被實驗材料的廣義應力應變曲線，採用新的分析方法和實驗手段，將彈性解轉換成對應的彈塑性解。