| 层状横观各向同性饱和地基的三维Biot固结问题 |
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| 引用本文： | 王小岗 黄义. 层状横观各向同性饱和地基的三维Biot固结问题[J]. 青海大学学报, 2004, 22(2): 6-11,32 |
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| 作者姓名： | 王小岗 黄义 |
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| 作者单位： | [1]青海大学建工系，青海西宁810016 [2]西安建筑科技大学土木工程学院，陕西西安710055 |
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| 基金项目： | 国家自然科学基金资助项目(59678003) |
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| 摘 要： | 首先引入状态向量，在直角坐标系下推导出横观各向同性饱和地基Biot固结问题的状态方程，然后基于laplace变化和双重Fourier变换，求解了状态方程，得到传递矩阵，进而利用传递矩阵，并结合饱和地基的边界条件、排水条件及层间接触和连续条件，求解了层状横观各向同性饱和地基的Biot固结问题。
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| 关 键 词： | 层状横观各向同性饱和地基 Biot固结 Laplace变换 双重Fourier变换 传递矩阵 |
| 文章编号： | 1006-8996(2004)02-0006-06 |
Solutions for 3-d Biot consolidation problems of layered transversely isotropic saturated soils |
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| WANG Xiao-gang,HUANG Yi. Solutions for 3-d Biot consolidation problems of layered transversely isotropic saturated soils[J]. Journal of Qinghai University(Natural Science), 2004, 22(2): 6-11,32 |
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| Authors: | WANG Xiao-gang HUANG Yi |
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| Affiliation: | WANG Xiao-gang~1,HUANG Yi~2 |
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| Abstract: | A method to calculate the 3-D Biot consolidation problems of layered transversely isotropic saturated soils is presented.Based on Biot's theory for fluid-saturated porous media,the 3-D Biot's consolidation equations in rectangular coordinate for transversely isotropic saturated poroelastic media are transformed into a group of 1-order governing different equations by means of the Laplace transform and double Fourier transform with respect to the time and horizontal coordinates respectively.Then,transfer matrixes within layered media are derived under the continuous conditions,drainage conditions and the boundary conditions. |
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| Keywords: | layered transversely isotropic saturated media Biot's consolidation equations Laplace transform double Fourier transform transfer matrix |
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