圆球土样Biot固结模型的Green函数及其土体体积应变规律

Green Function and the Law of Volumetric Strain of Soils for Biot Consolidation of Spherical Soil-Sample

通过建立圆球土样Biot固结问题的Green函数,得到了圆球土样径向位移表达式和固结过程中孔隙水压力及土体体积应变的精确解析解.该方法不仅避免了将问题的解分解为弹性静力学解和渗流拟动态解的叠加,而且便于数值计算和分析圆球土样的全场渗流固结规律.最后以此结果具体分析了圆球土样Biot固结过程中土体体积应变规律和Mandel-Cryer效应在圆球土样不同位置的强弱程度和土的泊松比对Mandel-Cryer效应的影响.

The expression of radial displacement which expressed by Green function for Blot consolidation of spherical soil-sample is obtained by building Green function. Correspondingly, exact analytical solutions for volumetric strain and pore water pressure are obtained, too. This method not only avoid the process of decomposing solution of the Blot consolidation of spherical soil-sample into the elasticity static＇ s solution and quasi-dynamic solution of fluids, but also easy to numerical calculation and analyzing the full-court fil- tration concretion law for spherical soil-sample. In the end of this paper, with this result, we particularly analyze the law of volumetric strain of soils and the degree of the Mandel-Cryer effect in different position of soil-sample and the influence o{ Poisson＇ s ratio on the Mande-Cryer effect.