One-Dimensional Consolidation of Layered Soils With Impeded Boundaries Under Time-Dependent Loadings
-
摘要: 在Terzaghi一维固结理论假设基础上,研究分析了半透水边界的层状饱和土在变荷载作用下有效应力比的变化规律.利用Laplace变换,得到了随时间任意变化荷载作用下的解答,并结合Laplace逆变换方法,对几种常见变荷载作用下的情况进行了讨论,得到了一些有益的结论.通常所研究的透水或不透水边界条件只是该文的特例.和平均指标法相比,该文所给方法计算的土体有效应力变化规律更精确.Abstract: On the basis of Terzaghi's one-dimensional consolidation theory, the variation of effective stress ratio in layered saturated soils with impeded boundaries under time-dependent loading was studied. By the method of Laplace transform, the solution was presented. Influences of different kinds of cyclic loadings and impeded boundaries conditions were discussed. Through numerical inversion of Laplace transform, useful illustrations were given considering several common time-dependent loadings. Pervious or impervious boundary condition is just the special case of the problem considered here. Compared with average index method, the results from the method illustrated are more accurate.
-
[1] Terzaghi K.Theoretical Soil Mechanics[M].New York,N Y:John Wiley and Sons Inc,1943. [2] Schiffman R L, Stein J R.One-dimensional consolidation of layered systems[J].Journal of the Soil Mechanics and Foundation Division,ASCE, 1970,96(4):1499—1504. [3] Wilson N E,Elgohary M M.Consolidation of soils under cyclic loading[J]. Canadian Geotechnical Journal,1974,2(3):420—423. [4] Alonso E E, Krizek R J.Randomness of settlement rate under stochastic load[J].Journal of the Engineering Mechanics Division,ASCE,1974,100(6):1211—1226. [5] Baligh M M,Levadoux J N.Consolidation theory for cyclic loading[J].Journal of the Geotechnical Engineering Division, ASCE,1978,104(4):415—431. [6] 吴世明,陈龙珠,杨丹.周期荷载作用下饱和粘土的一维固结[J].浙江大学学报,1988,22(5):60—70. [7] 谢康和,潘秋元.变荷载下任意层地基一维固结理论[J]. 岩土工程学报,1995,17(5):80—85. [8] 蔡袁强,徐长节,丁狄刚.循环荷载下成层饱水地基的一维固结[J]. 振动工程学报,1998,11(2):184—193. [9] Pyrah I C.One-dimensional consolidation of layered soils[J].Géotechnique,1996,46(3):555—560. doi: 10.1680/geot.1996.46.3.555 [10] Zhu G, Yin J H.Consolidation of double soil layers under depth-dependent ramp load[J].Géotechnique,1999,49(3):415—421. doi: 10.1680/geot.1999.49.3.415 [11] Gray H.Simultaneous consolidation of contiguous layers of unlike compressible soils[J].Transactions,ASCE,1945,110:1327—1356. [12] 谢康和.层状土半透水边界一维固结分析[J]. 浙江大学学报(自然科学版),1996,30(5):567—575. [13] 王奎华,谢康和,曾国熙.双面半透水边界的一维粘弹性固结理论[J].岩土工程学报,1998,20(2):34—36. [14] Durbin F.Numerical inversion of Laplace transform:an efficient improvement to Dubner and Abate's method[J].The Computer Journal,1974,17(4):371—376.
计量
- 文章访问数: 2740
- HTML全文浏览量: 173
- PDF下载量: 577
- 被引次数: 0