Abstract
The article discusses the solution to the axisymmetric problem of determining the stresses and displacements arising from the joint action on the asymmetric load (soil resistance) array and a centrally symmetric temperature field. The case of continuous one-dimensional inhomogeneity is considered, when the deformation characteristics of a rock mass with a spherical cavity obtained by explosion are the continuous functions of one of the coordinates - the radius. The solution of the original system of equations for the displacement components is sought in the form of expansions in Fourier series in Legendre polynomials. Using the method of variablesseparation, it is possible to reduce the problem to a system of two ordinary differential equations with variable coefficients, which is solved numerically. The stress state calculation of homogeneous and inhomogeneous massifs surrounding a spherical cavity has been carried out. A comparative analysis of the results obtained has been performed.
Highlights
IntroductionWhen creating underground cavities with the help of a nuclear explosion, a large amount of heat is almost instantly released in the cavity, while significant heating of the massif zone closest to the cavity occurs, followed by heat propagation into the depth of the massif and cavity surfacecooling
A rock mass containing a spherical cavity obtained by an explosion is considered
The calculation was carried out taking into account the real operating conditions of the massif and the dependence of the mechanical characteristics of the soil, both on temperature and on the fracturing of the massif. As it is known [1], with the explosive method of the underground cavities’formation, as well as with the drilling-and-blasting method of driving wells and tunnels, the surrounding rock mass undergoes such changes, which lead to mechanical heterogeneity of the material
Summary
When creating underground cavities with the help of a nuclear explosion, a large amount of heat is almost instantly released in the cavity, while significant heating of the massif zone closest to the cavity occurs, followed by heat propagation into the depth of the massif and cavity surfacecooling. This process is unsteady, but, excluding the initial period from consideration and taking into account the relatively slow redistribution of the thermal field during the subsequent sufficiently long time, the problem of determining the temperature stresses can be considered as quasi-stationary
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