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一維滲透力與浮力

發(fā)布時間:2018-04-19 09:13

  本文選題:滲透力 + 浮力; 參考:《力學(xué)學(xué)報》2017年05期


【摘要】:為簡化分析,針對一維滲流問題,研究提出了土力學(xué)中滲透力和浮力的兩種推導(dǎo)方法,作為傳統(tǒng)的宏觀尺度孔隙水隔離體法的有益補(bǔ)充.彈性力學(xué)平衡微分方程、土力學(xué)Terzaghi有效應(yīng)力方程和流體力學(xué)簡化Bernoulli方程構(gòu)成本文分析滲透力和浮力的3個基本方程.在基本方程基礎(chǔ)上,容易推導(dǎo)出相應(yīng)的骨架和孔隙水兩種隔離體的平衡微分方程,從而在靜力平衡范疇內(nèi)揭示滲透力和浮力的內(nèi)涵.單位體積飽和土體的滲透力,源于總水頭壓力的梯度,而浮力則源于位置水頭壓力在豎向的梯度,這兩者統(tǒng)一于骨架或孔隙水的平衡微分方程.實(shí)際工程關(guān)注的有效應(yīng)力計(jì)算問題,一般可以直接應(yīng)用3個基本方程來確定;只有在簡化條件下可按滲透力和浮力計(jì)算土體中有效應(yīng)力分布規(guī)律.還討論了若干研究熱點(diǎn)問題,重點(diǎn)探討了當(dāng)前一種滲透力新定義j=nγ_wi在形式上的合理性以及在實(shí)際應(yīng)用中可能存在的風(fēng)險,并驗(yàn)證了一維滲透力的一種經(jīng)典精細(xì)化表述結(jié)果中考慮滲流速度時間導(dǎo)數(shù)的嚴(yán)謹(jǐn)性.在土力學(xué)滲透力和浮力問題研究中應(yīng)重視和正確應(yīng)用Terzaghi有效應(yīng)力方程.
[Abstract]:In order to simplify the analysis, two derivation methods of permeability and buoyancy in soil mechanics are proposed to solve the one-dimensional seepage problem, which can be used as a useful supplement to the traditional macro-scale pore water isolator method.The equilibrium differential equation of elastic mechanics, the Terzaghi effective stress equation of soil mechanics and the simplified Bernoulli equation of hydrodynamics constitute three basic equations for the analysis of permeability and buoyancy in this paper.On the basis of the basic equations, it is easy to deduce the corresponding equilibrium differential equations of two isolators, skeleton and pore water, so as to reveal the connotation of permeability and buoyancy in the category of static equilibrium.The permeability of saturated soil per unit volume originates from the gradient of the total head pressure, while the buoyancy comes from the vertical gradient of the position head pressure, which is consistent with the equilibrium differential equation of skeleton or pore water.Three basic equations can be directly used to determine the effective stress calculation problem concerned in practical engineering, and the effective stress distribution law in soil can be calculated according to permeability and buoyancy only under simplified conditions.Some hot research issues are also discussed, with emphasis on the formal rationality of a new definition of penetrability and the possible risks in practical application.It is verified that the time derivative of seepage velocity is considered in a classical refined expression of one dimensional permeability.The effective stress equation of Terzaghi should be paid attention to and applied correctly in the study of soil mechanics permeability and buoyancy.
【作者單位】: 北京交通大學(xué)土木建筑工程學(xué)院;陜西省公路橋梁與隧道重點(diǎn)試驗(yàn)室;
【基金】:國家自然科學(xué)基金(51278028,41172221) 中央高校基本科研業(yè)務(wù)費(fèi)專項(xiàng)資金(310821161119,2014JBM087)資助項(xiàng)目
【分類號】:TU43


本文編號:1772486

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