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2018

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Solution of the nonstationary problem of thermoelasticity for a rock array with a spherical field taking into accountthe two­dimensional inhomogeneity

I.I. Frolova, Candidate of tehn. Sciences, assistant professor Moscow State University Of Civil Engineering (National Research University)

Abstract. A quasi­stationary thermoelastic problem of calculating the stress­strain state of a rock array in the vicinity of a spherical cavity is considered with allowance for the two­dimensional inhomogeneity of the array material. We consider the solution of the axisymmetric problem of determining the stresses and displacements that occur when a joint action on an array of an asymmetric load (ground repulsion) and a temperature field that depends on the coordinates of the points of the body and on time. To calculate the stress­strain state of the array, the finite elements method is used in the form of a displacement method. Similar problems arise when creating and operating underground cavities for the long­term storage of various products, often having a tendency to self­heating, that leads to the appearance of high­temperature fields. The obtained results indicate a significant influence of the inhomogeneity on the stressed state of the rock massif. When designing underground cavities, it is necessary to take into account the real properties of the rock massif and their changes from high temperatures.

Key words: two­dimensional inhomogeneity, rock massif, spherical cavity, thermoelasticity, finite element method.

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