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| 含圆柱形弹性夹杂地基沉降量的解析解 | |
| 引用本文： | 王明斌,李术才,李树忱,王兆清.含圆柱形弹性夹杂地基沉降量的解析解[J].岩土力学,2008,29(6):1575-1579. |
| 作者姓名： | 王明斌 李术才 李树忱 王兆清 |
| 作者单位： | 1. 山东建筑大学,理学院,济南,250101;山东大学,岩土与结构研究中心,济南,250061 2. 山东大学,岩土与结构研究中心,济南,250061 3. 山东建筑大学,理学院,济南,250101 |
| 基金项目： | 国家自然科学基金 , 国家自然科学基金 |
| 摘 要： | 研究各向同性地基中含一个圆柱形弹性夹杂的地基沉陷问题.考虑全场的应力、变形特征,运用复变函数的罗朗级数展开技术,构造合适的应力函数,结合夹杂的边界条件和无穷远的性态,获得了全场复势的解析表达.数值结果显示:由于两相材料剪切模量之比的不同,在某个范围内沉陷量大于基底中点沉陷:在这个范围之外,则小于基底中点沉陷.当夹杂埋深为夹杂半径的5倍以上时,就可以运用所得结果,而不致引起太大误差;含圆形隧洞和刚性夹杂的问题可作为特殊情况得到. |
| 关 键 词： | 圆柱形弹性夹杂 地基沉陷 复势理论 应力集中 圆柱形 弹性夹杂 地基沉降量 解析解 inhomogeneity foundation settlement solution 情况 刚性夹杂 圆形隧洞 误差 数值结果 半径 沉陷量 基底 范围 剪切模量 两相材料 显示 |
| 收稿时间： | 2006-08-22 |
Analytical solution of settlement of foundation with a cylindrically elastic inhomogeneity |
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| WANG Ming-bin,LI Shu-cai,LI Shu-chen,WANG Zhao-qing.Analytical solution of settlement of foundation with a cylindrically elastic inhomogeneity[J].Rock and Soil Mechanics,2008,29(6):1575-1579. | |
| Authors: | WANG Ming-bin LI Shu-cai LI Shu-chen WANG Zhao-qing |
| Institution: | 1. School of Science, Shandong Jianzhu University, Jinan 250101, China； 2. Research Center of Geotechnical and Structural Engineering, Shandong University, Jinan 250061, China |
| Abstract: | The settlement of foundation with a cylindrically elastic inhomogeneity is researched. By considering the stress-deformation characteristic of the total field and applying the technique of series expansion, the appropriate stress functions are constructed; and accordingly the complex potentials of the rock mass are obtained. The numerical results indicate that to the different ratios of the shear moduli between the matrix and the inhomogeneity the settlement value of foundation boundary in some scope is greater than in the middle point of foundation base; and the value in other scope is less than in the middle point of foundation base. The results of the paper are enough accurate when the buried depth of the inhomogeneity is greater than 5 times of the radius of the inhomogeneity. As two special cases, the solutions for a circular tunnel and a rigid inhomogeneity in foundation are recovered. |
| Keywords: | circular elastic inhomogeneity foundation settlement theory of complex potential stress concentration |
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