Abstract:
The paper presents a solution to a coupled boundary value problem of the theory of large deformations on the deformation of a plug of finite length in a circular pipe under the influence of a changing pressure difference. It is assumed that the plug has a cylindrical shape, and its material is incompressible and has elastic, viscous and plastic properties. The pressure drop, which increases over time, is set on the boundary transverse surfaces of the plug. The adhesion condition is specified on the side surface of the plug. The temperature of the material changes due to its irreversible deformation. Irreversible deformations accumulate in the plug material from the beginning of the deformation process and can be either creep deformations or plastic deformations. It is assumed that the creep parameters, yield strength and dynamic viscosity coefficient of the material depend on temperature. With an increasing pressure drop, the creep of the material, as well as the emergence and development of viscoplastic flow, are considered. The temperature and parameters of the stress-strain state are calculated, and the pattern of movement of the elastoplastic boundary along the deformable material is established.
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