Abstract:
The work considers a spherical cavity in a weightless half-space that simulates a rock with the development of an appropriate shape that can be obtained as a result of a camouflage explosion. The accumulation of gaseous explosion products in the walls of the mine leads to its dynamic deformation. The rock is represented by a multicomponent elastoviscoplastic model. The problem statement takes into account the possibility of changing the number of environmental components. The spherical shape of the cavity and the assumption that the type of dynamic load is independent of the geometric parameters of the excavation leads to an axisymmetric stress-strain state. Relations are obtained for determining stresses and displacements in elastic and plastic deformation zones, an equation for finding the radius of the elastoplastic boundary, from which, using the conditions of the onset of plastic flow, a ratio is obtained that makes it possible to determine the combination of loads corresponding to the moment of occurrence of plastic deformation under specified physico-mechanical and geometric parameters.
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