岩石力学与工程学报
巖石力學與工程學報
암석역학여공정학보
CHINESE JOURNAL OF ROCK MECHANICS AND ENGINEERING
2014年
4期
817-825
,共9页
徐日庆%荣雪宁%王兴陈%詹学贵
徐日慶%榮雪寧%王興陳%詹學貴
서일경%영설저%왕흥진%첨학귀
土力学%Biot固结理论%两相非连续介质%孔压传递系数%孔隙率%Mandel-Cryer效应
土力學%Biot固結理論%兩相非連續介質%孔壓傳遞繫數%孔隙率%Mandel-Cryer效應
토역학%Biot고결이론%량상비련속개질%공압전체계수%공극솔%Mandel-Cryer효응
soil mechanics%Biot consolidation theory%two-phase discontinuous medium%coefficient of pore pressure′s transfer%porosity%Mandel-Cryer effect
基于两相非连续介质(如饱和土)的力学模型,导出一个有效应力方程,在该方程中总应力分布取决于孔隙率和孔压传递系数α(α∈[0,1]),将其引入 Biot固结理论,导出三维固结新方程。以圆柱土体径向受压为例,用Abaqus对两相非连续介质固结理论进行分析,求解得到孔压和位移,并比较新老理论结果的差异。根据相关文献的渗透性数据,获得几种黏土的α值,其合理范围为0.35~0.54。在相同的模量和渗透系数条件下,随着孔隙率和孔压传递系数的减小,固结过程加快,Mandel-Cryer 效应更加显著。当孔隙率和孔压传递系数减小为0,固结在瞬间完成,两相非连续介质固结理论自动过渡为连续介质的弹性理论。两相非连续介质固结理论在传统固结理论和弹性理论之间搭建一座桥梁,从侧面印证两相非连续介质力学模型的合理性。
基于兩相非連續介質(如飽和土)的力學模型,導齣一箇有效應力方程,在該方程中總應力分佈取決于孔隙率和孔壓傳遞繫數α(α∈[0,1]),將其引入 Biot固結理論,導齣三維固結新方程。以圓柱土體徑嚮受壓為例,用Abaqus對兩相非連續介質固結理論進行分析,求解得到孔壓和位移,併比較新老理論結果的差異。根據相關文獻的滲透性數據,穫得幾種黏土的α值,其閤理範圍為0.35~0.54。在相同的模量和滲透繫數條件下,隨著孔隙率和孔壓傳遞繫數的減小,固結過程加快,Mandel-Cryer 效應更加顯著。噹孔隙率和孔壓傳遞繫數減小為0,固結在瞬間完成,兩相非連續介質固結理論自動過渡為連續介質的彈性理論。兩相非連續介質固結理論在傳統固結理論和彈性理論之間搭建一座橋樑,從側麵印證兩相非連續介質力學模型的閤理性。
기우량상비련속개질(여포화토)적역학모형,도출일개유효응력방정,재해방정중총응력분포취결우공극솔화공압전체계수α(α∈[0,1]),장기인입 Biot고결이론,도출삼유고결신방정。이원주토체경향수압위례,용Abaqus대량상비련속개질고결이론진행분석,구해득도공압화위이,병비교신로이론결과적차이。근거상관문헌적삼투성수거,획득궤충점토적α치,기합리범위위0.35~0.54。재상동적모량화삼투계수조건하,수착공극솔화공압전체계수적감소,고결과정가쾌,Mandel-Cryer 효응경가현저。당공극솔화공압전체계수감소위0,고결재순간완성,량상비련속개질고결이론자동과도위련속개질적탄성이론。량상비련속개질고결이론재전통고결이론화탄성이론지간탑건일좌교량,종측면인증량상비련속개질역학모형적합이성。
Based on a concise mechanical model of two-phase discontinuous media such as saturated soil,a new expression of effective stress was derived. In the expression,the distribution of total stress depends on the porosity n and the coefficient of pore pressure's transferα(α∈[0,1]). The new expression was then applied to Biot theory. Consolidation of a columnar sample was analyzed with FEM software Abaqus and solutions of pore pressure and displacement were obtained. The results from the new equations were compared with those from original Biot theory. From the permeability data in relevant literatures,values ofαof clays in a reasonable range of 0.32-0.54 were obtained. With the same modulus and coefficient of permeability,the consolidation process speeds up as n andαdecrease and Mandel-Cryer effect becomes more significant. When n=α=0,the consolidation process becomes instantaneous. A transition is presented from the consolidation behavior of porous media to that of continuum mechanics. The consolidation theory of the two-phase discontinuous medium bridges the traditional consolidation theory and the elastic theory;the confirming the rationality of the mechanical model of two-phase discontinuous medium indirectly.