Nonstationary Problem Moisture Elasticity For A
Nonhomogeneous Hollow Thick-walled Cylinder
Author(s)
V. I. Andreev & A. S. Avershyev
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.
Keywords: heat and mass transfer, moisture elasticity, inhomogeneity,
nonstationary problem, ground, clay, thick-walled shell.
Keywords
heat and mass transfer, moisture elasticity, inhomogeneity,
nonstationary problem, ground, clay, thick-walled shell.
Related Book
Other papers in this volume
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