Nonstationary problem moisture elasticity for a nonhomogeneous hollow thick-walled cylinder

Abstract

This paper contains a solution of the problem of determining stress state in soil near a cylindrical cavity by the propagation of the moisture out of the cavity into the solid mass. The problem of moisture transfer is solved analytically in the nonstationary symmetric formulation. A result of solving this problem is the distribution of moisture in the array at any time until the release of a steady state. Given the slow diffusion of water from the hole to the periphery the problem of determining the stress state is solved in a quasi-stationary formulation. A feature of the calculation is based accounting depending soil deformation module of moisture, which is especially characteristic for these species as clay and loess soils. For example, for the elastic modulus of clay when the relative humidity changes from 0.3 to 1 can vary by more than 10 times. Thus our problem is to be solved by the methods of the theory of elasticity of inhomogeneous bodies.The problem is reduced to a differential equation with variable coefficients. This complicates the solution of the problem compared with the solutions for constant modulus of elasticity, but it provides a more accurate solution.

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