An axisymmetrically loaded rigid circular disc on transversely isotropic layered soils
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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。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.
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[1] BUTTERFIELD R, BANERJEE P K. A rigid disc embedded in an elastic half space[J]. Géotechnique, 1971, 21(2): 35-49. [2] BROW P T. Analysis of raft on clay[D]. Sydney: University of Sydney, 1972. [3] POULOS H G, DAVIS E H. Solutions for Soil and Rock Mechanics[M]. New York: Wiley, 1974. [4] CHOW Y K. Vertical deformation of rigid foundations of arbitrary shape on layered soil media[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 1987, 11(1): 1-15. [5] MILOVIC D. Stresses and displacements for shallow foundations[M]. Amsterdam: Elsevier, 1992. [6] 袁聚云, 孙祥波. 传递矩阵法分析中心荷载下对称刚性板地基沉降和反力[J]. 力学季刊, 2005, 26(2): 316-321. (YUAN Ju-yun, SUN Xiang-bo. Analysis of settlement and contact pressure of symmetric rigid plate on subgrade under central concentrated load with method of transferring matrix[J]. Chinese Quarterly of Mechanics, 2005, 26(2): 316-321. (in Chinese)) [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)) -
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