横观各向同性层状地基上轴对称受荷刚性圆板问题

艾智勇; 史本凯

doi:10.11779/CJGE201412025

横观各向同性层状地基上轴对称受荷刚性圆板问题 English Version

艾智勇^{1, 2},
史本凯^{1, 2}

1. 同济大学地下建筑与工程系,上海 200092; 2. 同济大学岩土及地下工程教育部重点实验室,上海 200092

详细信息

作者简介:
艾智勇(1966- ),男,江西余江人,博士,教授,主要从事岩土及地下工程方面的教学和研究工作。E-mail: zhiyongai@tongji.edu.cn。

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出版历程
- 收稿日期: 2014-02-06
- 发布日期: 2014-12-25

An axisymmetrically loaded rigid circular disc on transversely isotropic layered soils

AI Zhi-yong^{1, 2},
SHI Ben-kai^{1, 2}

1. Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China; 2. Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Tongji University, Shanghai 200092, China

摘要

摘要: 采用轴对称横观各向同性层状地基的解析层元解来求解刚性圆板与地基的共同作用问题,结合刚性圆板与地基表面的位移协调条件,建立横观各向同性层状地基上受荷刚性圆板问题的积分方程;运用数值方法求解该积分方程,得到在给定位移下刚性圆板与地基间的接触应力。编制相应的计算程序进行数值计算,分析了地基横观各向同性参数、地基厚度和地基成层性对地基反力的影响。
- 横观各向同性 /
- 层状地基 /
- 解析层元解 /
- 刚性圆板 /
- 轴对称问题
Abstract: The analytical layer element solution for axisymetrically transversely isotropic multilayered soils is adopted to solve the interaction between the rigid circular plate and the foundation. Then based on the displacement continuity conditions between the soil surface and the rigid circular disc, the integral equation of an axisymmetrically loaded rigid circular disc on transversely isotropic multilayered soils is developed. The integral equation is solved numerically, and the contact stresses between the rigid circular disc and the subsoil are obtained when the rigid circular disc is given a value of displacement. This solution is implemented into a computer code for numerical analysis, and the influences of parameters of transversely isotropic foundation, thickness and stratification of the soils on the contact stresses are analyzed.
- transverse isotropy /
- layered soil /
- analytical layer element solution /
- rigid circular disc /
- axisymmetric problem

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参考文献(9)

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[7]	艾智勇, 梅阿敏. 多层地基上轴对称受荷刚性圆板问题[J]. 力学季刊, 2008, 29(3): 425-429. (AI Zhi-yong, MEI A-min. Axisymmetric loaded rigid circular plate on multi-layered soil[J]. Chinese Quarterly of Mechanics, 2008, 29(3): 425-429. (in Chinese))
[8]	艾智勇, 张逸帆. 层状横观各向同性地基与刚性条形基础共同作用分析[J]. 岩土工程学报, 2014, 36(4): 752-756. (AI Zhi-yong, ZHANG Yi-fan. Interactive analysis of a rigid strip footing on transversely isotropic layered soil[J]. Chinese Journal of Geotechnical Engineering, 2014, 36(4): 752-756. (in Chinese))
[9]	艾智勇, 仓乃瑞, 成怡冲. 解析层元法求解层状横观各向同性地基轴对称问题[J]. 岩土工程学报, 2012, 34(5): 863-867. (AI Zhi-yong, CANG Nai-rui, CHENG Yi-chong. Analytical layer-element method for axisymmetric problem of transversely isotropic multilayered soils[J]. Chinese Journal of Geotechnical Engineering, 2012, 34(5): 863-867. (in Chinese))