›› 2013, Vol. 34 ›› Issue (12): 3372-3376.

• Fundamental Theroy and Experimental Research • Previous Articles     Next Articles

Analogous relationship between solutions of nonhomogeneous and homogeneous foundations

ZHOU Feng-xi1, LAI Yuan-ming2, MI Hai-zhen1   

  1. 1. School of Civil Engineering, Lanzhou University of Technology, Lanzhou 730050, China; 2. Cold and Arid Regions Environmental and Engineering Research Institute, Chinese Academy of Sciences, Lanzhou 730000, China
  • Received:2013-05-27 Online:2013-12-10 Published:2013-12-19

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Abstract: The problem of half-space nonhomogeneous foundation subjected to vertical and horizontal linear loads is studied. The linear transformative relation between the solutions of the nonhomogeneous foundation and the corresponding homogeneous foundation is analyzed. Based on deformation compatibility condition, the analytical expressions of stress and strain component are obtained. Through comparing solutions of nonhomogeneous foundation and the corresponding homogenous foundation, linearly correlation relation between the both is found. The solution of the nonhomogeneous foundation can be linearly expressed by that of homogenous foundation with the same conditions. The transformation factors between the solutions of two kinds of soil are derived in analytic forms, witch reflect the nonhomogeneous properties of the foundation. Therefore, solutions of the non-homogenous foundation can be reduced to that of a homogenous one and the calculation of the transition parameters, which simplifies the solution procedure. For the convenience of engineering application, analogous transformation coefficient is given by graphic form with different nonhomogeneous indices.

Key words: nonhomogeneous foundation, analogous transformation, analytical solution, elastic half-space

CLC Number: 

  • TU 431
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