Heat production due to creep strains and wall viscoplastic flow in the plug material in a round pipe under the action of variable pressure difference

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Abstract

A solution to the coupled boundary-value problem of non-isothermal deformation of a material forming a finite-length plug in an undeformable circular tube is presented. Under the conditions of rigid adhesion to the tube surface, the material undergoes deformation due to a varying pressure differential applied at the end faces of the plug. Irreversible deformation is associated with both creep and visco-plastic flow of the material, leading to its heating. Additionally, dependencies of the yield strength, viscosity coefficient, and creep parameters on temperature are considered. Using a large-deformation model, the study investigates creep and visco-plastic flow under increasing and constant pressure differentials, flow deceleration and unloading of the medium under decreasing pressure, and the cooling of the material after complete removal of the mechanical load.

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About the authors

L. V. Kovtanyuk

Institute of Automation and Control Processes FEB RAS; Institute of Machinery and Metallurgy FEB RAS

Author for correspondence.
Email: lk@iacp.dvo.ru
Russian Federation, Vladivostok; Komsomolsk-on-Amur

G. L. Panchenko

Institute of Automation and Control Processes FEB RAS; Institute of Machinery and Metallurgy FEB RAS

Email: panchenko@iacp.dvo.ru
Russian Federation, Vladivostok; Komsomolsk-on-Amur

E. O. Popova

Institute of Automation and Control Processes FEB RAS

Email: polenao@bk.ru
Russian Federation, Vladivostok

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Supplementary files

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2. Fig. 1. Graph of the viscoplastic flow region boundary as a function of time.

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3. Fig. 2. Temperature distribution in the plug material at the moments of time 2 and 4.

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4. Fig. 3. Distribution of displacements at different moments of time.

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5. Fig. 4. Distribution of irreversible strain component prz at different moments of time.

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6. Fig. 5. Residual stresses in the material.

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