非均质地基受荷问题解析的分层系数法

doi:10.13722/j.cnki.jrme.2021.1056

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Abstract The existing methods for solving the load problem of layered foundation are not perfect. The transfer matrix method often has ill conditioned matrix and data overflow，while the analytical layer element method or stiffness matrix method has some defects，such as difficult inversion of high-order matrix. Firstly，the matrix solution of soil state variables with undetermined coefficients is derived based on the basic equation of three-dimensional elastic statics and Fourier positive transformation. Then，combined with the boundary conditions，the transformation relationship of undetermined coefficients of soil state variables and the inverse Fourier transform，the known coefficient solution of layered foundation state variables is obtained. Finally，the method verification and parameter analysis are carried out for homogeneous semi infinite foundation，three-layer unequal thickness foundation and generalized Gibson foundation. The results show that compared with transfer matrix method and analytical layer element method，this method is not only reasonable and accurate，but also has the advantages of stable numerical calculation，faster solution speed，self-check and unlimited number of applicable soil layers. The relative displacement of interlayer contact surface is directly proportional to the interface slip coefficient and inversely proportional to the distance between loading surface and interlayer contact surface. The change value of interface relative displacement is twice the change value of load distribution width. The number of layers of generalized Gibson foundation is 40，which can meet the requirements of calculation accuracy. Under different Poisson's ratio and load depth，the volume strain and displacement decrease with the increase of heterogeneous parameter m. The influence of parameter m on the vertical state variable of soil is more significant，and the value of m is more noteworthy when it is 0.0–0.5.

Key words： soil mechanics multi-layered soil generalized Gibson foundation interlayer contact stratification coefficient optimization method

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	Articles by authors
	WANG Yu1
	WANG Jinhua2
	LI Wei3
	LIU Zhe4

Cite this article:

WANG Yu1,WANG Jinhua2,LI Wei3, et al. Layered coefficient method for solving the loading problem of nonhomogeneous soil[J]. , 2022, 41(S2): 3390-3401.

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https://rockmech.whrsm.ac.cn/EN/10.13722/j.cnki.jrme.2021.1056 OR https://rockmech.whrsm.ac.cn/EN/Y2022/V41/IS2/3390

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