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1)  one-dimensional consolidation problem
一维固结问题
1.
The typical one-dimensional consolidation problem is solved by TT method to avoid calculating the complicated partial differential equations, and the solution is compared with Biot s consolidation theory in the paper.
为避免求解复杂的偏微分方程组,采用TT法对典型一维固结问题进行求解,并将所得解与比奥固结理论方法相比较,证明该方法对于一维问题的分析是精确的。
2)  two dimension Biot consolidation problem
Biot二维固结问题
1.
According to the elastic solution for two dimension Biot consolidation problem on relevant document,using Lee comparison method,this paper analyzes the deriving process of visco elastic solution for general visco elastic model,and gives the solutions for Voigt model and Mechant model.
以有关文献关于Biot二维固结问题的弹性解为基础 ,对各向同性有限厚地基 ,运用李氏比拟法对其粘弹性解答进行了分析 ,并对广义Voigt模型及其特例Mechant模型写出了解的具体形式 。
3)  one-dimensional problem
一维问题
4)  1-D consolidation
一维固结
1.
Probability design of 1-D consolidation of soft clay foundation;
软黏土地基一维固结的概率设计
2.
Based on the theory of the Terzaghi 1-D consolidation theory,a numerical model of landfill settlement is established and the detached variable method is adopted to get the analytical solution in accordance with the character of the numerical model.
基于太沙基一维固结理论,建立了垃圾填埋场沉降过程的数学模型,并根据数学模型的特征,采用分离变量法求出改数学模型的解析解。
5)  one-dimensional consolidation
一维固结
1.
Analysis of one-dimensional consolidation of double-layered viscoelastic ground;
双层黏弹性地基一维固结分析
2.
Spatial probability characteristic of one-dimensional consolidation for double-layered soil;
双层地基一维固结的空间概率特性
3.
Analysis of one-dimensional consolidation behavior of soils under low-frequency cyclic loading;
低频循环荷载下地基一维固结性状分析
6)  one-dimension consolidation
一维固结
1.
The one-dimensional nonlinear consolidation partial differential equation under arbitrary loading is deduced on the basis of classical Terzaghi one-dimension consolidation theory.
在经典的Terzaghi一维固结理论基础上,推导出循环荷载作用下考虑土体非线性的一维固结微分方程,并应用Matlab软件编写相应微分方程的求解程序,得到超孔隙水压力随时间变化的曲线。
2.
The analytical solution to the one-dimension consolidation governing equation of soil layer was deduced by use of separation of variables when the laws of permeability and compressibility coefficients with depth can be expressed as power functions.
采用分离变量法,求解了任意荷载作用下渗透系数和体积压缩系数随深度按幂函数变化土层模型的一维固结问题,从而得到不同排水边界条件下超孔隙水压力和沉降等随时间变化的解析表达式。
3.
The influence of the uncertainty of geotechnical parameter to one-dimension consolidation is analyzed and the reliability of one-dimension consolidation also is discussed.
本文详细介绍了土工参数概率统计方法,论述了土工参数的随机场模型理论,分析了土工参数的不确定性对一维固结平均固结度的影响,对一维固结问题的可靠性进行了探讨。
补充资料:断裂力学中的二维问题


断裂力学中的二维问题
wo- dfanensional problems in fracture mechanics

If{Q(。)+iq(:):,二。‘,,,、。。,,、二 兀艺〔t一t”、“一’+2 19(t)」dt+kZ(t,t’)Q(t)dt}=尸(t‘),t’〔L, (A3)其中,积分核分别由下式给出: ld,。、,一二、、 k(t.亡‘)=-于一一In}(t一t‘)(亡一t’)1; 2 dt’一L、 1 Jf。一。,飞 k。ft.t’、二一于书二一!一卜 2 dtLt一t’J方程(A3)有解,它存在于L两端点处具有可积奇异性的函数类中,且在下面补充条件下是唯一的: 丁g,(:)过。一。,(、) L这保证在跟踪L一周时位移的单值性. 应力和位移在裂纹尖端附近的分布由应力强度因子K:(在对称的情况)和K:(在反对称的情况)来决定.应力强度因子与函数g(t)的关系如下: K亨一iK言一干,蟀[V万面不万厂下。‘(‘)],其中上标为“一”的值指裂纹起始点(C一1一);上标为“十”的值指裂纹终止点(C=l+). 对于在弹性平面中有N条曲线裂纹L。(n=1,…,N)的情况,边值问题(AI)也可化为积分方程(A2),其中L为全部回线L。的集合,但条件(A4)应代之以N个类似的条件,以保证位移在每个回线L。
说明:补充资料仅用于学习参考,请勿用于其它任何用途。
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