圆球土样Biot固结的级数解与Mandel—Cryer效应
THE SERIES SOLUTION OF BIOT CONSOLIDATION OF SPHERICAL SOIL-SAMPLE AND MANDEL-CRYER EFFECT
-
摘要: 圆球土样固结是发现Mandel-Cryer效应的一个著名例子。本文采用将圆球土样的Biot固结解分解为弹性静力学解和渗流拟动态解叠加的方法,利用球Bessel函数的正交性质,给出了定量分析这一著名例子的封闭级数解,并具体分析了Mandel-Cryer效应产生的原因和影响Mandel-Cryer效应的因素。Abstract: The Biot consolidation of spherical soil-sample is one of the famous examples in discovering the Mandel-Cryer effect. In this paper the solution of the Biot consolidation of the spherical soil-sample is decomposed into the elastostatic solution and quasi-dynamic solution of fluids in porous media. By means of the orthogonality of spherical Bessel functions, a close form series solution of the problem is presented and quantitative analysis is conducted. The Mandel-Cryer effect is discussed at length.